diff --git a/AlbertTFG files/.~lock.k_longer.csv# b/AlbertTFG files/.~lock.k_longer.csv# new file mode 100644 index 0000000000..1a8ed2e023 --- /dev/null +++ b/AlbertTFG files/.~lock.k_longer.csv# @@ -0,0 +1 @@ +,LEGIONALBERT/fontg,LegionAlbert,27.05.2025 16:20,file:///C:/Users/fontg/AppData/Roaming/LibreOffice/4; \ No newline at end of file diff --git a/AlbertTFG files/CoarsePlotSolution.m b/AlbertTFG files/CoarsePlotSolution.m new file mode 100644 index 0000000000..fd60b56c48 --- /dev/null +++ b/AlbertTFG files/CoarsePlotSolution.m @@ -0,0 +1,224 @@ +classdef CoarsePlotSolution < handle + %UNTITLED Summary of this class goes here + % Detailed explanation goes here + + properties + mesh + u + originalBCApplier + outputFileName + r + centroids + end + + methods + function obj = CoarsePlotSolution(u, mesh, bcApplier,outputFileName, r, centroids) + + if isempty(r) + obj.plot(u, mesh, bcApplier,outputFileName); + else + obj.init(u, mesh, bcApplier,outputFileName,r, centroids); + obj.makeHole(bcApplier,outputFileName); + + end + end + + % function makeHole(~, x, mesh, bcApplier,outputFileName,r,holeCoords) + % x = obj.createXHole(x, mesh, r, holeCoords); + % mesh = createHole(mesh, r, holeCoords); + % obj.plot(x, mesh, bcApplier,outputFileName); + %o + % end + + + + end + + methods (Access = private) %%% treure Static + + function makeHole(obj, bcApplier,outputFileName) + + %uH = obj.createUHole(); + uMeshFun = obj.createUnfittedMeshFun(); + obj.plot(uMeshFun,outputFileName); + + end + + function init(obj, u, mesh, bcApplier,outputFileName,r,centroids) + obj.mesh = mesh; + obj.u = u; + obj.originalBCApplier = bcApplier; + obj.outputFileName = outputFileName; + obj.r = r; + obj.centroids = centroids; + + end + + function U = createUHole(obj) + U = obj.u; + + for i = obj.mesh.nnodes:-1:1 + if sqrt( (obj.mesh.coord(i,1) )^2 + (obj.mesh.coord(i,2))^2 ) <= obj.r + U(2*i-1:2*i) = []; + end + + end + + end + + function uMeshFun = createUnfittedMeshFun(obj) + % mR = obj.createReferenceMesh(); + + gPar.type = 'Circle'; + + % Initialize the sum as the zero function + f_sum = @(x) 0; + u = obj.u; + mesh = obj.mesh; + f = @(x) 0; + s.x0 = obj.centroids(:,1); + s.y0 = obj.centroids(:,2); + s.r = obj.r; + s.type = 'Circles'; + g = GeometricalFunction(s); + ls = g.computeLevelSetFunction(obj.mesh); + + lsCircle = ls.fValues; + lsCircleInclusion = -lsCircle; + + sUm.backgroundMesh = obj.mesh; + sUm.boundaryMesh = obj.mesh.createBoundaryMesh; + uMesh = UnfittedMesh(sUm); + uMesh.compute(lsCircleInclusion); + uMeshFun = uMesh.obtainFunctionAtUnfittedMesh(u); +% s.fValues = reshape(uMeshFun.innerMeshFunction.fValues,2,[])'; + + end + + function newMesh = createReferenceMesh(obj) + xmin = -1; + xmax = 1; + ymin = -1; + ymax = 1; + + n1 = numel(find(obj.mesh.coord(:,1)==xmin)); + n2 = n1;%numel(find(obj.mesh.coord(:,2)==ymin)); + + + %UnitMesh better + x1 = linspace(xmin,xmax,n1); + x2 = linspace(ymin,ymax,n2); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + newMesh = Mesh.create(s); + end + + function levelSet = createLevelSetFunction(obj,mR) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = obj.r; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(mR); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(obj, mR,levelSet) + sUm.backgroundMesh = mR; + sUm.boundaryMesh = mR.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function plot(~, uMeshFun,outputFileName) + row = 0; + col = 0; + iter = 0; + flag = 0; + +% if ~isempty(bcApplier) +% x = bcApplier.reducedToFullVectorDirichlet(x); +% end +% if nargin <7 +% flag =0; +% end +% % xFull = bc.reducedToFullVector(x); +% if size(x,2)==1 +% s.fValues = reshape(x,2,[])'; +% else +% s.fValues = x; +% end +% % +% +% s.mesh = mesh; +% s.fValues(:,end+1) = 0; +% s.ndimf = 2; +% s.order = 'P1'; +% xF = LagrangianFunction(s); +% % xF.plot(); +% if flag == 0 +% xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 1 +% xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 2 +% xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 3 +% xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 4 +% xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% end + + + + %uMeshFun.innerMeshFunction.print(['inner',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + %uMeshFun.innerCutMeshFunction.print(['innerCut',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + + fvalues = [uMeshFun.innerMeshFunction.fValues; + uMeshFun.innerCutMeshFunction.fValues]; + + s.coord = [uMeshFun.innerMeshFunction.mesh.coord; + uMeshFun.innerCutMeshFunction.mesh.coord]; + + s.connec = [uMeshFun.innerMeshFunction.mesh.connec; + uMeshFun.innerCutMeshFunction.mesh.connec + max(uMeshFun.innerMeshFunction.mesh.connec(:))]; + + mh = Mesh.create(s); + + ss.mesh = mh; + ss.fValues = fvalues; + ss.order = 'P1'; + ss.ndimf = size(fvalues,2) + + u = LagrangianFunction(ss); + + u.print([outputFileName],'Paraview') + + % fileName = [num2str(row),num2str(col),'_',num2str(iter)]; + % + % s = dir(pwd); + % s = struct2table(s); + % idx = startsWith(s.name, fileName); + % s = s(idx,:); + % oldFileName = s.name; + % newFileName = replace(oldFileName, fileName, outputFileName); + % fclose('all'); + % movefile(oldFileName{1}, newFileName{1}); + % + % fileName = ['innerCut',num2str(row),num2str(col),'_',num2str(iter)]; + % + % s = dir(pwd); + % s = struct2table(s); + % idx = startsWith(s.name, fileName); + % s = s(idx,:); + % oldFileName = s.name; + % newFileName = replace(oldFileName, fileName, [outputFileName, '_cut']); + % fclose('all'); + % movefile(oldFileName{1}, newFileName{1}); + + end + + + end +end \ No newline at end of file diff --git a/AlbertTFG files/CoarseTesting.m b/AlbertTFG files/CoarseTesting.m new file mode 100644 index 0000000000..6e63090646 --- /dev/null +++ b/AlbertTFG files/CoarseTesting.m @@ -0,0 +1,529 @@ +classdef CoarseTesting < handle + + properties (Access = public) + + end + properties (Access = private) + meshDomain + boundaryConditions + bcApplier + LHS + RHS + + fileNameCoase + tolSameNode + + end + + + properties (Access = private) + nSubdomains + end + + methods (Access = public) + + function obj = CoarseTesting() + close all + obj.init() + + mR = obj.createReferenceMesh(); + bS = mR.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR,discMesh] = obj.createMeshDomain(mR); + obj.meshDomain = mD; + [bC,dir] = obj.createBoundaryConditions(obj.meshDomain); + obj.boundaryConditions = bC; + obj.createBCapplier() + + [LHS,RHS,LHSf] = obj.createElasticProblem(); + obj.LHS = LHSf; + % LHS = 0.5*(LHS+LHS'); + + LHSf = @(x) LHS*x; + RHSf = RHS; + Usol = LHS\RHS; + Ufull = obj.bcApplier.reducedToFullVectorDirichlet(Usol); + %obj.plotSolution(Ufull,obj.meshDomain,1,1,0,obj.bcApplier,0) + + % Meifem = obj.createEIFEMPreconditioner(mR,dir,iC,lG,bS,iCR,discMesh); + Milu = obj.createILUpreconditioner(LHS); + Mcoarse = obj.createCoarsePreconditioner(mR,dir,iC,lG,bS,iCR,discMesh); + + MiluCG = @(r,iter) Preconditioner.InexactCG(r,LHSf,Milu,RHSf); + + tol = 1e-8; + tic + x0 = zeros(size(RHSf)); + + Mmult = @(r) Preconditioner.multiplePrec(r,MiluCG,Mcoarse,MiluCG,LHSf,RHSf,obj.meshDomain,obj.bcApplier); + tic + % tau = @(r,A) 1; + [uPCG,residualPCG,errPCG,errAnormPCG] = PCG.solve(LHSf,RHSf,x0,Mmult,tol,Usol,obj.meshDomain,obj.bcApplier); + % [uCG,residualPCG,errPCG,errAnormPCG] = RichardsonSolver.solve(LHSf,RHSf,x0,Mmult,tol,tau,Usol); + toc + + figure + plot(residualPCG,'linewidth',2) + hold on + plot(residualCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend({'CG + ILU-EIFEM-ILU','CG'},'FontSize',12) + xlabel('Iteration') + ylabel('Residual') + + figure + plot(errPCG,'linewidth',2) + hold on + plot(errCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('||error||_{L2}') + + figure + plot(errAnormPCG,'linewidth',2) + hold on + plot(errAnormCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('Energy norm') + + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [15 1]; %nx ny + %obj.fileNameEIFEM = 'DEF_Q4auxL_1.mat'; + obj.fileNameCoase = 'UL_r0_1-20x20.mat'; + obj.tolSameNode = 1e-10; + + end + + function [mD,mSb,iC,lG,iCR,discMesh] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR,discMesh] = m.create(); + end + + + function mS = createReferenceMesh(obj) + mS = obj.createStructuredMesh(); + % mS = obj.createMeshFromGid(); + % mS = obj.createEIFEMreferenceMesh(); + end + + + function mS = createMeshFromGid(obj) + filename = 'lattice_ex1'; + a.fileName = filename; + femD = FemDataContainer(a); + mS = femD.mesh; + end + + function mS = createStructuredMesh(obj) + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + bgMesh = Mesh.create(s); + + + % bgMesh = obj.createReferenceMesh(); + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + mS = uMesh.createInnerMesh(); + + + + % % Generate coordinates + % x1 = linspace(0,1,2); + % x2 = linspace(0,1,2); + % % Create the grid + % [xv,yv] = meshgrid(x1,x2); + % % Triangulate the mesh to obtain coordinates and connectivities + % [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + % + % s.coord = coord(:,1:2); + % s.connec = F; + % mS = Mesh.create(s); + end + + + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = 0.1; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + + function mS = createEIFEMreferenceMesh(obj) + filename = obj.fileNameCoase; + load(filename); + s.coord = EIFEoper.MESH.COOR; + isMin = s.coord==min(s.coord); + isMax = s.coord==max(s.coord); + + s.connec = EIFEoper.MESH.CN; + mS = Mesh.create(s); + end + + function mCoarse = createCoarseMesh(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.createReferenceCoarseMesh(mR); + s.tolSameNode = obj.tolSameNode; + mRVECoarse = MeshCreatorFromRVE(s); + [mCoarse,~,~] = mRVECoarse.create(); + end + + + + function cMesh = createReferenceCoarseMesh(obj,mR) + xmax = max(mR.coord(:,1)); + xmin = min(mR.coord(:,1)); + ymax = max(mR.coord(:,2)); + ymin = min(mR.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; + % coord(1,1) = xmax; + % coord(1,2) = ymin; + % coord(2,1) = xmax; + % coord(2,2) = ymax; + % coord(3,1) = xmin; + % coord(3,2) = ymax; + % coord(4,1) = xmin; + % coord(4,2) = ymin; + connec = [1 2 3 4]; + % connec = [2 3 4 1]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function createBCapplier(obj) + s.mesh = obj.meshDomain; + s.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + minx = min(obj.meshDomain.coord(:,1)); + maxx = max(obj.meshDomain.coord(:,1)); + miny = min(obj.meshDomain.coord(:,2)); + maxy = max(obj.meshDomain.coord(:,2)); + tolBound = obj.tolSameNode; + isLeft = @(coor) (abs(coor(:,1) - minx) < tolBound); + isRight = @(coor) (abs(coor(:,1) - maxx) < tolBound); + isBottom = @(coor) (abs(coor(:,2) - miny) < tolBound); + isTop = @(coor) (abs(coor(:,2) - maxy) < tolBound); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor);%| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + +% PL.domain = @(coor) isTop(coor); +% PL.direction = [2]; +% PL.value = [-0.1]; + PL.domain = @(coor) isRight(coor); + PL.direction = [2]; + PL.value = [1]; + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = [dirichletFun, dir]; + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.setFValues(fvalues); + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + + function [LHSr,RHSr,lhs] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs,LHSr] = obj.computeStiffnessMatrix(obj.meshDomain,u,material); + RHSr = obj.computeForces(lhs,u); + end + + + function [LHS,LHSr] = computeStiffnessMatrix(obj,mesh,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.test = dispFun; + s.trial = dispFun; + s.material = mat; + s.quadratureOrder = 2; + lhs = LHSIntegrator.create(s); + LHS = lhs.compute(); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + end + + function RHS = computeForces(obj,stiffness,u) + s.type = 'Elastic'; + s.scale = 'MACRO'; + s.dim.ndofs = u.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.meshDomain; + RHSint = RHSIntegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + R = RHSint.computeReactions(stiffness); + RHS = rhs+R; + RHS = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + end + + function Meifem = createEIFEMPreconditioner(obj,mR,dir,iC,lG,bS,iCR,dMesh) + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + EIFEMfilename = obj.fileNameCoase; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + filename = EIFEMfilename; + s.RVE = CoarseTrainedRVE(filename); + s.mesh = obj.createCoarseMesh(mR); + s.DirCond = dir; + s.nSubdomains = obj.nSubdomains; + eifem = EIFEM(s); + + + ss.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + ss.EIFEMsolver = eifem; + ss.bcApplier = obj.bcApplier; + ss.dMesh = dMesh; + ss.type = 'EIFEM'; + eP = Preconditioner.create(ss); + Meifem = @(r,uk) eP.apply(r,uk); + end + + function Mcoarse = createCoarsePreconditioner(obj,mR,dir,iC,lG,bS,iCR,dMesh) + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + Coarsefilename = obj.fileNameCoase; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + filename = Coarsefilename; + s.RVE = CoarseTrainedRVE(filename); %%Passar vector de filenames + + + % + % + % + % + % + + + + + + + + + s.mesh = obj.createCoarseMesh(mR); + s.DirCond = dir; + s.nSubdomains = obj.nSubdomains; + coarseSolver = Coarse(s); + + + ss.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + ss.Coarsesolver = coarseSolver; + ss.bcApplier = obj.bcApplier; + ss.dMesh = dMesh; + ss.type = 'Coarse'; + eP = Preconditioner.create(ss); + Mcoarse = @(r) eP.apply(r); + end + + function Mdn = createDirichletNeumannPreconditioner(obj,mR,dir,iC,lG,bS,lhs,mSb,iCR) + s.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + s.DirCond = dir; + s.bcApplier = obj.bcApplier; + s.LHS = lhs; + s.subdomainMesh = mSb; + s.meshDomain = obj.meshDomain; + s.type = 'DirichletNeumann'; + M = Preconditioner.create(s); + Mdn = @(r) M.apply(r); + end + + function d = createDomainDecompositionDofManager(obj,iC,lG,bS,mR,iCR) + s.nSubdomains = obj.nSubdomains; + s.interfaceConnec = iC; + s.interfaceConnecReshaped = iCR; + s.locGlobConnec = lG; + s.nBoundaryNodes = bS{1}.mesh.nnodes; + s.nReferenceNodes = mR.nnodes; + s.nNodes = obj.meshDomain.nnodes; + s.nDimf = obj.meshDomain.ndim; + d = DomainDecompositionDofManager(s); + end + + function Milu = createILUpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'ILU'; + M = Preconditioner.create(s); + Milu = @(r) M.apply(r); + end + + function MgaussSeidel = createGaussSeidelpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'GaussSeidel'; + M = Preconditioner.create(s); + MgaussSeidel = @(r) M.apply(r); + end + + function Mjacobi = createJacobipreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'Jacobi'; + M = Preconditioner.create(s); + Mjacobi = @(r) M.apply(r); + end + + function Mmodal = createModalpreconditioner(obj,LHS) + s.LHS = LHS; + s.nBasis = 8; + s.type = 'MODAL'; + M = Preconditioner.create(s); + Mmodal = @(r) M.apply(r); + end + + +% function plotSolution(obj,x,mesh,row,col,iter,flag) +% if nargin <7 +% flag =0; +% end +% % xFull = bc.reducedToFullVector(x); +% if size(x,2)==1 +% s.fValues = reshape(x,2,[])'; +% else +% s.fValues = x; +% end +% % +% +% s.mesh = mesh; +% s.fValues(:,end+1) = 0; +% s.ndimf = 2; +% s.order = 'P1'; +% xF = LagrangianFunction(s); +% % xF.plot(); +% if flag == 0 +% xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 1 +% xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 2 +% xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 3 +% xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 4 +% xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% end +% fclose('all'); +% end + + + + end + + methods (Static, Access = public) + + + function J = computeTotalEnergy(x,A,b) + J = 0.5*x'*A(x)-b'*x; + end + + + function plotSolution(x,mesh,row,col,iter,bcApplier,flag) + if ~isempty(bcApplier) + x = bcApplier.reducedToFullVectorDirichlet(x); + end + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end + % + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = 'P1'; + xF = LagrangianFunction(s); + % xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + end + +end diff --git a/AlbertTFG files/CoarseTestingAusetic.m b/AlbertTFG files/CoarseTestingAusetic.m new file mode 100644 index 0000000000..2d7d236ac4 --- /dev/null +++ b/AlbertTFG files/CoarseTestingAusetic.m @@ -0,0 +1,527 @@ +classdef CoarseTestingAusetic < handle + + properties (Access = public) + + end + properties (Access = private) + meshDomain + boundaryConditions + bcApplier + LHS + RHS + RmeshFilename + + fileNameCoase + tolSameNode + + end + + + properties (Access = private) + nSubdomains + end + + methods (Access = public) + + function obj = CoarseTestingAusetic() + close all + obj.init() + + mR = obj.createReferenceMesh_Ausetic(); + bS = mR.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR,discMesh] = obj.createMeshDomain(mR); + obj.meshDomain = mD; + [bC,dir] = obj.createBoundaryConditions(obj.meshDomain); + obj.boundaryConditions = bC; + obj.createBCapplier() + + [LHS,RHS,LHSf] = obj.createElasticProblem(); + obj.LHS = LHSf; + % LHS = 0.5*(LHS+LHS'); + + LHSf = @(x) LHS*x; + RHSf = RHS; + Usol = LHS\RHS; + Ufull = obj.bcApplier.reducedToFullVectorDirichlet(Usol); + %obj.plotSolution(Ufull,obj.meshDomain,1,1,0,obj.bcApplier,0) + + % Meifem = obj.createEIFEMPreconditioner(mR,dir,iC,lG,bS,iCR,discMesh); + Milu = obj.createILUpreconditioner(LHS); + Mcoarse = obj.createCoarsePreconditioner(mR,dir,iC,lG,bS,iCR,discMesh); + + MiluCG = @(r,iter) Preconditioner.InexactCG(r,LHSf,Milu,RHSf); + + tol = 1e-8; + tic + x0 = zeros(size(RHSf)); + + Mmult = @(r) Preconditioner.multiplePrec(r,MiluCG,Mcoarse,MiluCG,LHSf,RHSf,obj.meshDomain,obj.bcApplier); + tic + % tau = @(r,A) 1; + [uPCG,residualPCG,errPCG,errAnormPCG] = PCG.solve(LHSf,RHSf,x0,Mmult,tol,Usol,obj.meshDomain,obj.bcApplier); + % [uCG,residualPCG,errPCG,errAnormPCG] = RichardsonSolver.solve(LHSf,RHSf,x0,Mmult,tol,tau,Usol); + toc + + figure + plot(residualPCG,'linewidth',2) + hold on + plot(residualCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend({'CG + ILU-EIFEM-ILU','CG'},'FontSize',12) + xlabel('Iteration') + ylabel('Residual') + + figure + plot(errPCG,'linewidth',2) + hold on + plot(errCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('||error||_{L2}') + + figure + plot(errAnormPCG,'linewidth',2) + hold on + plot(errAnormCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('Energy norm') + + end + + end + + methods (Access = private) + + function init(obj) + obj.RmeshFilename = "DEF_Q4auxL_1.mat"; + obj.nSubdomains = [15 1]; %nx ny + %obj.fileNameEIFEM = 'DEF_Q4auxL_1.mat'; + obj.fileNameCoase = 'UL-Ausetic.mat'; + obj.tolSameNode = 1e-10; + + end + + function [mD,mSb,iC,lG,iCR,discMesh] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR,discMesh] = m.create(); + end + + + function mS = createReferenceMesh_Ausetic(obj) + mS = obj.loadAuseticMesh(); + % mS = obj.createStructuredMesh(); + % mS = obj.createMeshFromGid(); + % mS = obj.createEIFEMreferenceMesh(); + end + + function mesh = loadAuseticMesh(obj) + Data = load(obj.RmeshFilename); + s.coord = Data.EIFEoper.MESH.COOR; + s.connec = Data.EIFEoper.MESH.CN; + + mesh = Mesh.create(s); + + end + + + function mS = createMeshFromGid(obj) + filename = 'lattice_ex1'; + a.fileName = filename; + femD = FemDataContainer(a); + mS = femD.mesh; + end + + function mS = createStructuredMesh(obj) + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + bgMesh = Mesh.create(s); + + + % bgMesh = obj.createReferenceMesh(); + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + mS = uMesh.createInnerMesh(); + + + + % % Generate coordinates + % x1 = linspace(0,1,2); + % x2 = linspace(0,1,2); + % % Create the grid + % [xv,yv] = meshgrid(x1,x2); + % % Triangulate the mesh to obtain coordinates and connectivities + % [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + % + % s.coord = coord(:,1:2); + % s.connec = F; + % mS = Mesh.create(s); + end + + + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = 0.1; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + + function mS = createEIFEMreferenceMesh(obj) + filename = obj.fileNameCoase; + load(filename); + s.coord = EIFEoper.MESH.COOR; + isMin = s.coord==min(s.coord); + isMax = s.coord==max(s.coord); + + s.connec = EIFEoper.MESH.CN; + mS = Mesh.create(s); + end + + function mCoarse = createCoarseMesh(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.createReferenceCoarseMesh(mR); + s.tolSameNode = obj.tolSameNode; + mRVECoarse = MeshCreatorFromRVE(s); + [mCoarse,~,~] = mRVECoarse.create(); + end + + + + function cMesh = createReferenceCoarseMesh(obj,mR) + xmax = max(mR.coord(:,1)); + xmin = min(mR.coord(:,1)); + ymax = max(mR.coord(:,2)); + ymin = min(mR.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; + % coord(1,1) = xmax; + % coord(1,2) = ymin; + % coord(2,1) = xmax; + % coord(2,2) = ymax; + % coord(3,1) = xmin; + % coord(3,2) = ymax; + % coord(4,1) = xmin; + % coord(4,2) = ymin; + connec = [1 2 3 4]; + % connec = [2 3 4 1]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function createBCapplier(obj) + s.mesh = obj.meshDomain; + s.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + minx = min(obj.meshDomain.coord(:,1)); + maxx = max(obj.meshDomain.coord(:,1)); + miny = min(obj.meshDomain.coord(:,2)); + maxy = max(obj.meshDomain.coord(:,2)); + tolBound = obj.tolSameNode; + isLeft = @(coor) (abs(coor(:,1) - minx) < tolBound); + isRight = @(coor) (abs(coor(:,1) - maxx) < tolBound); + isBottom = @(coor) (abs(coor(:,2) - miny) < tolBound); + isTop = @(coor) (abs(coor(:,2) - maxy) < tolBound); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor);%| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + +% PL.domain = @(coor) isTop(coor); +% PL.direction = [2]; +% PL.value = [-0.1]; + PL.domain = @(coor) isRight(coor); + PL.direction = [2]; + PL.value = [1]; + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = [dirichletFun, dir]; + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + % pointload.fun.fValues = fvalues; + pointload.fun.setFValues(fvalues); + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + + function [LHSr,RHSr,lhs] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs,LHSr] = obj.computeStiffnessMatrix(obj.meshDomain,u,material); + RHSr = obj.computeForces(lhs,u); + end + + + function [LHS,LHSr] = computeStiffnessMatrix(obj,mesh,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.test = dispFun; + s.trial = dispFun; + s.material = mat; + s.quadratureOrder = 2; + lhs = LHSIntegrator.create(s); + LHS = lhs.compute(); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + end + + function RHS = computeForces(obj,stiffness,u) + s.type = 'Elastic'; + s.scale = 'MACRO'; + s.dim.ndofs = u.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.meshDomain; + RHSint = RHSIntegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + R = RHSint.computeReactions(stiffness); + RHS = rhs+R; + RHS = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + end + + function Meifem = createEIFEMPreconditioner(obj,mR,dir,iC,lG,bS,iCR,dMesh) + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + EIFEMfilename = obj.fileNameCoase; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + filename = EIFEMfilename; + s.RVE = CoarseTrainedRVE(filename); + s.mesh = obj.createCoarseMesh(mR); + s.DirCond = dir; + s.nSubdomains = obj.nSubdomains; + eifem = EIFEM(s); + + + ss.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + ss.EIFEMsolver = eifem; + ss.bcApplier = obj.bcApplier; + ss.dMesh = dMesh; + ss.type = 'EIFEM'; + eP = Preconditioner.create(ss); + Meifem = @(r,uk) eP.apply(r,uk); + end + + function Mcoarse = createCoarsePreconditioner(obj,mR,dir,iC,lG,bS,iCR,dMesh) + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + Coarsefilename = obj.fileNameCoase; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + filename = Coarsefilename; + s.RVE = CoarseTrainedRVE(filename); + s.mesh = obj.createCoarseMesh(mR); + s.DirCond = dir; + s.nSubdomains = obj.nSubdomains; + coarseSolver = Coarse(s); + + + ss.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + ss.Coarsesolver = coarseSolver; + ss.bcApplier = obj.bcApplier; + ss.dMesh = dMesh; + ss.type = 'Coarse'; + eP = Preconditioner.create(ss); + Mcoarse = @(r) eP.apply(r); + end + + function Mdn = createDirichletNeumannPreconditioner(obj,mR,dir,iC,lG,bS,lhs,mSb,iCR) + s.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + s.DirCond = dir; + s.bcApplier = obj.bcApplier; + s.LHS = lhs; + s.subdomainMesh = mSb; + s.meshDomain = obj.meshDomain; + s.type = 'DirichletNeumann'; + M = Preconditioner.create(s); + Mdn = @(r) M.apply(r); + end + + function d = createDomainDecompositionDofManager(obj,iC,lG,bS,mR,iCR) + s.nSubdomains = obj.nSubdomains; + s.interfaceConnec = iC; + s.interfaceConnecReshaped = iCR; + s.locGlobConnec = lG; + s.nBoundaryNodes = bS{1}.mesh.nnodes; + s.nReferenceNodes = mR.nnodes; + s.nNodes = obj.meshDomain.nnodes; + s.nDimf = obj.meshDomain.ndim; + d = DomainDecompositionDofManager(s); + end + + function Milu = createILUpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'ILU'; + M = Preconditioner.create(s); + Milu = @(r) M.apply(r); + end + + function MgaussSeidel = createGaussSeidelpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'GaussSeidel'; + M = Preconditioner.create(s); + MgaussSeidel = @(r) M.apply(r); + end + + function Mjacobi = createJacobipreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'Jacobi'; + M = Preconditioner.create(s); + Mjacobi = @(r) M.apply(r); + end + + function Mmodal = createModalpreconditioner(obj,LHS) + s.LHS = LHS; + s.nBasis = 8; + s.type = 'MODAL'; + M = Preconditioner.create(s); + Mmodal = @(r) M.apply(r); + end + + +% function plotSolution(obj,x,mesh,row,col,iter,flag) +% if nargin <7 +% flag =0; +% end +% % xFull = bc.reducedToFullVector(x); +% if size(x,2)==1 +% s.fValues = reshape(x,2,[])'; +% else +% s.fValues = x; +% end +% % +% +% s.mesh = mesh; +% s.fValues(:,end+1) = 0; +% s.ndimf = 2; +% s.order = 'P1'; +% xF = LagrangianFunction(s); +% % xF.plot(); +% if flag == 0 +% xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 1 +% xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 2 +% xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 3 +% xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 4 +% xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% end +% fclose('all'); +% end + + + + end + + methods (Static, Access = public) + + + function J = computeTotalEnergy(x,A,b) + J = 0.5*x'*A(x)-b'*x; + end + + + function plotSolution(x,mesh,row,col,iter,bcApplier,flag) + if ~isempty(bcApplier) + x = bcApplier.reducedToFullVectorDirichlet(x); + end + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end + % + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = 'P1'; + xF = LagrangianFunction(s); + % xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + end + +end diff --git a/AlbertTFG files/CoarseTesting_Albert.m b/AlbertTFG files/CoarseTesting_Albert.m new file mode 100644 index 0000000000..370c905354 --- /dev/null +++ b/AlbertTFG files/CoarseTesting_Albert.m @@ -0,0 +1,638 @@ +classdef CoarseTesting_Albert < handle + + properties (Access = public) + + end + properties (Access = private) + nSubdomains + rSubdomains + mSubdomains + ic + icr + lg + bs + + meshDomain + cellMeshes + boundaryConditions + bcApplier + LHS + RHS + r + centroids + + fileNameCorase + tolSameNode + + end + + + methods (Access = public) + + function obj = CoarseTesting_Albert() + close all + obj.init() + + mR = obj.createReferenceMesh(); + bS = mR.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR,discMesh] = obj.createMeshDomain(mR); + obj.meshDomain = mD; + obj.cellMeshes = mSb; + obj.ic = iC; + obj.icr = iCR; + obj.lg = lG; + obj.bs; + + [bC,dir] = obj.createBoundaryConditions(obj.meshDomain); + obj.boundaryConditions = bC; + obj.createBCapplier() + + [LHS,RHS,LHSf] = obj.createElasticProblem(); + obj.LHS = LHSf; + % LHS = 0.5*(LHS+LHS'); + + LHSf = @(x) LHS*x; + RHSf = RHS; + Usol = LHS\RHS; + Ufull = obj.bcApplier.reducedToFullVectorDirichlet(Usol); + %obj.plotSolution(Ufull,obj.meshDomain,1,1,0,obj.bcApplier,0) + + % Meifem = obj.createEIFEMPreconditioner(mR,dir,iC,lG,bS,iCR,discMesh); + Milu = obj.createILUpreconditioner(LHS); + Mcoarse = obj.createCoarsePreconditioner(mR,dir,iC,lG,bS,iCR,discMesh); + Mid = @(r) r; + + MiluCG = @(r,iter) Preconditioner.InexactCG(r,LHSf,Milu,RHSf); + + tol = 1e-8; + tic + x0 = zeros(size(RHSf)); + + Mmult = @(r) Preconditioner.multiplePrec(r,Milu,Mcoarse,Milu,LHSf,RHSf,obj.meshDomain,obj.bcApplier); + tic + % tau = @(r,A) 1; + [uPCG,residualPCG,errPCG,errAnormPCG] = PCG.solve(LHSf,RHSf,x0,Mmult,tol,Usol,obj.meshDomain,obj.bcApplier); + % [uCG,residualPCG,errPCG,errAnormPCG] = RichardsonSolver.solve(LHSf,RHSf,x0,Mmult,tol,tau,Usol); + toc + + xFull = obj.bcApplier.reducedToFullVectorDirichlet(uPCG); + s.mesh = obj.meshDomain; + s.ndimf = obj.meshDomain.ndim + s.order = 'P1'; + s.fValues = reshape(xFull,2,[])'; + uFun = LagrangianFunction(s); + + obj.computeSubdomainCentroid(); + CoarsePlotSolution(uFun, obj.meshDomain, obj.bcApplier,'085 085 085', obj.r, obj.centroids); + + figure + plot(residualPCG,'linewidth',2) + hold on + plot(residualCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend({'CG + ILU-EIFEM-ILU','CG'},'FontSize',12) + xlabel('Iteration') + ylabel('Residual') + + figure + plot(errPCG,'linewidth',2) + hold on + plot(errCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('||error||_{L2}') + + figure + plot(errAnormPCG,'linewidth',2) + hold on + plot(errAnormCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('Energy norm') + + end + + end + + methods (Access = private) + + function init(obj) + % obj.nSubdomains = [2 1]; %nx ny + %obj.fileNameCorase = ["UL_r0_1-20x20.mat", "UL_r0_15-20x20.mat", "UL_r0_2-20x20.mat", "UL_r0_25-20x20.mat", "UL_r0_3-20x20.mat", "UL_r0_35-20x20.mat", "UL_r0_45-20x20.mat", "UL_r0_5-20x20.mat", "UL_r0_55-20x20.mat", "UL_r0_6-20x20.mat", "UL_r0_65-20x20.mat", "UL_r0_7-20x20.mat", "UL_r0_75-20x20.mat", "UL_r0_8-20x20.mat", "UL_r0_85-20x20.mat"]; % + %obj.fileNameCorase = ["UL_r0_1-20x20.mat", "UL_r0_1-20x20.mat", "UL_r0_1-20x20.mat"]; + obj.fileNameCorase = ["UL_r0_85-20x20.mat", "UL_r0_85-20x20.mat", "UL_r0_85-20x20.mat"]; + %obj.fileNameCorase = ["UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat","UL_r0_85-20x20.mat"]; + %obj.fileNameCorase = ["UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_85-20x20.mat"]; + %obj.fileNameCorase = ["UL_r0_1-20x20.mat","UL_r0_1-20x20.mat","UL_r0_85-20x20.mat"] + %obj.rSubdomains = [0.1, 0.1, 0.1, 0.1]; + obj.nSubdomains = size(obj.fileNameCorase'); + obj.mSubdomains = []; + obj.tolSameNode = 1e-10; + obj.r = obj.loadRadius(); + + + + end + + function r = loadRadius(obj) + r = zeros(size(obj.nSubdomains)); + for i = 1:obj.nSubdomains(1,2) + for j = 1:obj.nSubdomains(1,1) + Data = load(obj.fileNameCorase(i,j)); + r(i,j) = Data.R; + end + + end + + end + + + function [mD,mSb,iC,lG,iCR,discMesh] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR,discMesh] = m.create(); + end + + + function mS = createReferenceMesh(obj) + mS = obj.createStructuredMesh(); + % mS = obj.createMeshFromGid(); + % mS = obj.createEIFEMreferenceMesh(); + end + + + function mS = createMeshFromGid(obj) + filename = 'lattice_ex1'; + a.fileName = filename; + femD = FemDataContainer(a); + mS = femD.mesh; + end + + function mS = createStructuredMesh(obj) + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + mS = Mesh.create(s); + + end + + function computeSubdomainCentroid(obj) + for i = 1:obj.nSubdomains(1,2) + for j = 1:obj.nSubdomains(1,1) + x0=mean(obj.cellMeshes{i,j}.coord(:,1)); + y0=mean(obj.cellMeshes{i,j}.coord(:,2)); + obj.centroids = cat(1,obj.centroids, [x0,y0]); + end + + end + + + + end + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = 0.1; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + + function mS = createEIFEMreferenceMesh(obj) + filename = obj.fileNameCorase; + load(filename); + s.coord = EIFEoper.MESH.COOR; + isMin = s.coord==min(s.coord); + isMax = s.coord==max(s.coord); + + s.connec = EIFEoper.MESH.CN; + mS = Mesh.create(s); + end + + function mCoarse = createCoarseMesh(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.createReferenceCoarseMesh(mR); + s.tolSameNode = obj.tolSameNode; + mRVECoarse = MeshCreatorFromRVE(s); + [mCoarse,~,~] = mRVECoarse.create(); + end + + + + function cMesh = createReferenceCoarseMesh(obj,mR) + xmax = max(mR.coord(:,1)); + xmin = min(mR.coord(:,1)); + ymax = max(mR.coord(:,2)); + ymin = min(mR.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; + % coord(1,1) = xmax; + % coord(1,2) = ymin; + % coord(2,1) = xmax; + % coord(2,2) = ymax; + % coord(3,1) = xmin; + % coord(3,2) = ymax; + % coord(4,1) = xmin; + % coord(4,2) = ymin; + connec = [1 2 3 4]; + % connec = [2 3 4 1]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function createBCapplier(obj) + s.mesh = obj.meshDomain; + s.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + + function material = createMaterial(obj) + + material = cell(size(obj.fileNameCorase)); + + for i = 1:obj.nSubdomains(1,2) + for j = 1:obj.nSubdomains(1,1) + [young,poisson] = obj.computeElasticProperties(obj.cellMeshes{i,j}, obj.r(i,j) ); + + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = obj.cellMeshes{i,j}.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material{i,j} = tensor; + + end + end + + + end + + + function material = createMaterialBasic(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh, radius) + E1 = 1; + E2 = E1/1000; + nu = 1/3; + x0=mean(mesh.coord(:,1)); + y0=mean(mesh.coord(:,2)); +% young = ConstantFunction.create(E,mesh); +% poisson = ConstantFunction.create(nu,mesh); + f = @(x) (sqrt((x(1,:,:)-x0).^2+(x(2,:,:)-y0).^2)=radius)*E1 ; +% x(2,:,:).*0 ]; + young = AnalyticalFunction.create(f,1,mesh); + poisson = ConstantFunction.create(nu,mesh); + + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + minx = min(obj.meshDomain.coord(:,1)); + maxx = max(obj.meshDomain.coord(:,1)); + miny = min(obj.meshDomain.coord(:,2)); + maxy = max(obj.meshDomain.coord(:,2)); + tolBound = obj.tolSameNode; + isLeft = @(coor) (abs(coor(:,1) - minx) < tolBound); + isRight = @(coor) (abs(coor(:,1) - maxx) < tolBound); + isBottom = @(coor) (abs(coor(:,2) - miny) < tolBound); + isTop = @(coor) (abs(coor(:,2) - maxy) < tolBound); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor);%| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + +% PL.domain = @(coor) isTop(coor); +% PL.direction = [2]; +% PL.value = [-0.1]; + PL.domain = @(coor) isRight(coor); + PL.direction = [2]; + PL.value = [1]; %Set displacement intensity ------------------------------------------------------------ + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = [dirichletFun, dir]; + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.setFValues(fvalues); + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + + function [LHSr,RHSr,lhs] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.cellMeshes{1,1},obj.cellMeshes{1,1}.ndim,'P1'); + uBasic = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(); + %materialBasic = obj.createMaterialBasic(obj.meshDomain); + [lhs,LHSr] = obj.computeStiffnessMatrix(u,material); + %[lhsBasic,~] = obj.computeStiffnessMatrixBasic(uBasic,materialBasic); + RHSr = obj.computeForces(lhs,uBasic); + end + + + function [LHS,LHSr] = computeStiffnessMatrix(obj,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.quadratureOrder = 2; + s.test = dispFun; + s.trial = dispFun; + % LHScell = cell(size(obj.rSubdomains)); + % LHScellGlobal = LHScell; + LHSvect = []; + + for i = 1:obj.nSubdomains(1,2) + for j = 1:obj.nSubdomains(1,1) + s.mesh = obj.cellMeshes{i,j}; + s.material = mat{i,j}; + + lhs = LHSIntegrator.create(s); + % LHScell{i,j} = full(lhs.compute()); + LHSvect = cat(3, LHSvect, full(lhs.compute()) ); + + end + end + + p.nSubdomains = obj.nSubdomains; + p.interfaceConnec = obj.ic; + p.interfaceConnecReshaped = obj.icr; + p.locGlobConnec = obj.lg; + p.nBoundaryNodes = obj.bs; + p.nReferenceNodes = obj.cellMeshes{1,1}.nnodes; + p.nNodes = obj.meshDomain.nnodes; + p.nDimf = obj.meshDomain.ndim; + + + + dddm = DomainDecompositionDofManager(p); + LHS = dddm.local2globalMatrix(LHSvect); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + + end + + + function [LHS,LHSr] = computeStiffnessMatrixBasic(obj,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = obj.meshDomain; + s.test = dispFun; + s.trial = dispFun; + s.material = mat; + s.quadratureOrder = 2; + lhs = LHSIntegrator.create(s); + LHS = lhs.compute(); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + end + + + function RHS = computeForces(obj,stiffness,u) + s.type = 'Elastic'; + s.scale = 'MACRO'; + s.dim.ndofs = u.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.meshDomain; + RHSint = RHSIntegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + R = RHSint.computeReactions(stiffness); + RHS = rhs+R; + RHS = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + end + + function Meifem = createEIFEMPreconditioner(obj,mR,dir,iC,lG,bS,iCR,dMesh) + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + EIFEMfilename = obj.fileNameCorase; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + filename = EIFEMfilename; + s.RVE = CoarseTrainedRVE(filename); + s.mesh = obj.createCoarseMesh(mR); + s.DirCond = dir; + s.nSubdomains = obj.nSubdomains; + eifem = EIFEM(s); + + + ss.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + ss.EIFEMsolver = eifem; + ss.bcApplier = obj.bcApplier; + ss.dMesh = dMesh; + ss.type = 'EIFEM'; + eP = Preconditioner.create(ss); + Meifem = @(r,uk) eP.apply(r,uk); + end + + function Mcoarse = createCoarsePreconditioner(obj,mR,dir,iC,lG,bS,iCR,dMesh) + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + + RVE = cell(size(obj.nSubdomains)); + + for i = 1:obj.nSubdomains(1,2) + for j = 1:obj.nSubdomains(1,1) + filename = obj.fileNameCorase(i,j); + RVE{i,j} = CoarseTrainedRVE(filename); %%Passar vector de filenames + end + end + + + s.RVE = RVE; + s.mesh = obj.createCoarseMesh(obj.cellMeshes{1,1}); + s.DirCond = dir; + s.nSubdomains = obj.nSubdomains; + coarseSolver = Coarse(s); + + + ss.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + ss.Coarsesolver = coarseSolver; + ss.bcApplier = obj.bcApplier; + ss.dMesh = dMesh; + ss.type = 'Coarse'; + eP = Preconditioner.create(ss); + Mcoarse = @(r) eP.apply(r); + end + + function Mdn = createDirichletNeumannPreconditioner(obj,mR,dir,iC,lG,bS,lhs,mSb,iCR) + s.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + s.DirCond = dir; + s.bcApplier = obj.bcApplier; + s.LHS = lhs; + s.subdomainMesh = mSb; + s.meshDomain = obj.meshDomain; + s.type = 'DirichletNeumann'; + M = Preconditioner.create(s); + Mdn = @(r) M.apply(r); + end + + function d = createDomainDecompositionDofManager(obj,iC,lG,bS,mR,iCR) + s.nSubdomains = obj.nSubdomains; + s.interfaceConnec = iC; + s.interfaceConnecReshaped = iCR; + s.locGlobConnec = lG; + s.nBoundaryNodes = bS{1}.mesh.nnodes; + s.nReferenceNodes = mR.nnodes; + s.nNodes = obj.meshDomain.nnodes; + s.nDimf = obj.meshDomain.ndim; + d = DomainDecompositionDofManager(s); + end + + function Milu = createILUpreconditioner(obj,LHS) + s.LHS = sparse(LHS); + s.type = 'ILU'; + M = Preconditioner.create(s); + Milu = @(r) M.apply(r); + end + + function MgaussSeidel = createGaussSeidelpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'GaussSeidel'; + M = Preconditioner.create(s); + MgaussSeidel = @(r) M.apply(r); + end + + function Mjacobi = createJacobipreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'Jacobi'; + M = Preconditioner.create(s); + Mjacobi = @(r) M.apply(r); + end + + function Mmodal = createModalpreconditioner(obj,LHS) + s.LHS = LHS; + s.nBasis = 8; + s.type = 'MODAL'; + M = Preconditioner.create(s); + Mmodal = @(r) M.apply(r); + end + + +% function plotSolution(obj,x,mesh,row,col,iter,flag) +% if nargin <7 +% flag =0; +% end +% % xFull = bc.reducedToFullVector(x); +% if size(x,2)==1 +% s.fValues = reshape(x,2,[])'; +% else +% s.fValues = x; +% end +% % +% +% s.mesh = mesh; +% s.fValues(:,end+1) = 0; +% s.ndimf = 2; +% s.order = 'P1'; +% xF = LagrangianFunction(s); +% % xF.plot(); +% if flag == 0 +% xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 1 +% xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 2 +% xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 3 +% xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 4 +% xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% end +% fclose('all'); +% end + + + + end + + methods (Static, Access = public) + + + function J = computeTotalEnergy(x,A,b) + J = 0.5*x'*A(x)-b'*x; + end + + + function plotSolution(x,mesh,row,col,iter,bcApplier,flag) + if ~isempty(bcApplier) + x = bcApplier.reducedToFullVectorDirichlet(x); + end + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end + % + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = 'P1'; + xF = LagrangianFunction(s); + % xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + end + +end diff --git a/AlbertTFG files/DOFsComputer_Albert.m b/AlbertTFG files/DOFsComputer_Albert.m new file mode 100644 index 0000000000..6ff2550cb8 --- /dev/null +++ b/AlbertTFG files/DOFsComputer_Albert.m @@ -0,0 +1,349 @@ +classdef DOFsComputer < handle + + properties (Access = public) + end + + properties (Access = private) + dofs + ndofs + ndimf + mesh + order + coord + interp + continuityType + end + + methods (Access = public) + + function obj = DOFsComputer(cParams) + obj.init(cParams); + end + + + function computeDofs(obj) + obj.computeDofsPriv(); + obj.obtainDofsForVectorField(); + end + + + function computeCoord(obj) + if isempty(obj.dofs) + obj.computeDofs(); + end + + if isa(obj.mesh,'Mesh') + obj.computeCoordPriv(obj.dofs); + end + end + + + function ndofs = getNumberDofs(obj) + ndofs = obj.ndofs; + end + + + function dofs = getDofs(obj) + dofs = obj.dofs; + end + + + function coord = getCoord(obj) + coord = obj.coord; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.ndimf = cParams.ndimf; + obj.mesh = cParams.mesh; + obj.order = obj.convertOrder(cParams.order); + + if isequal(cParams.order,'P1D') + obj.continuityType = 'Disc'; + else + obj.continuityType = 'Cont'; + end + + if any(contains(fieldnames(cParams),'interpolation')) + obj.interp = cParams.interpolation; + end + end + + + function computeDofsPriv(obj) + dofsVertices = obj.computeDofsVertices(); + + dofsEdges = obj.computeDofsEdges(); + ndofsEdges = max(max(dofsEdges)); + + if ~strcmp(obj.mesh.type,'LINE') + dofsFaces = obj.computeDofsFaces(ndofsEdges); + ndofsFaces = max(max(dofsFaces)); + + dofsElements = obj.computeDofsElements(ndofsFaces); + else + dofsFaces = []; + dofsElements = []; + end + + obj.dofs = [dofsVertices,dofsEdges,dofsFaces,dofsElements]; + end + + + function computeCoordPriv(obj,dofs) + switch obj.continuityType + case 'Cont' + ndofsE = size(dofs,2); + if obj.order~=1 + coor = zeros(obj.ndofs/obj.ndimf,obj.mesh.ndim); + sAF = obj.computefHandlePosition(); + sAF.mesh = obj.mesh; + func = AnalyticalFunction(sAF); + c = func.evaluate(obj.interp.pos_nodes'); + c = reshape(c,obj.interp.nnode,obj.mesh.ndim,obj.mesh.nelem); + c = permute(c,[3,1,2]); + c = reshape(c,[],obj.mesh.ndim); + newDofs = (dofs(:,1:obj.ndimf:ndofsE)-1)/obj.ndimf+1; + newDofs = reshape(newDofs,[],1); + coor(newDofs,:) = c; + obj.coord = coor; + else + coor = zeros(obj.ndofs,obj.mesh.ndim); + for idim = 1:obj.mesh.ndim + nodes = unique(obj.mesh.connec); + coorDofs = repmat(obj.mesh.coord(nodes,idim)',obj.ndimf,1); + dofs = obj.computeNodesToDofs(nodes); + coor(dofs,idim) = coorDofs(:); + end + obj.coord = coor; + end + case 'Disc' + coordC = obj.mesh.coord; + connec = obj.mesh.connec; + dofsC = reshape(connec',1,[]); + coorD = zeros(obj.ndofs,obj.mesh.ndim); + for idim = 1:obj.mesh.ndim + coorI = repmat(coordC(dofsC,idim),1,obj.ndimf)'; + coorD(1:obj.ndofs,idim) = reshape(coorI,[],1); + end + obj.coord = coorD; + end + + end + + function dofs = computeNodesToDofs(obj,nodes) + for iDimf = 1:obj.ndimf + dofs(iDimf,:) =(nodes-1)*obj.ndimf+iDimf; + end + dofs = dofs(:); + end + + + function dofsVertices = computeDofsVertices(obj) + switch obj.continuityType + case 'Cont' + if obj.order == 0 + dofsVertices = (1:obj.mesh.nelem)'; + else + m = obj.mesh; + dofsVertices = m.connec; + end + case 'Disc' + nDofs = obj.mesh.nnodeElem*obj.mesh.nelem; + nodes = 1:nDofs; + dofsVertices = reshape(nodes,obj.mesh.nnodeElem,obj.mesh.nelem)'; + end + end + + + function result = vectorUnion(~, v, n, fl) + + result = v + (0:n-1); + result(fl,:) = flip(result(fl,:),2); + end + + + function dofsEdges = computeDofsEdges(obj) + if obj.order <= 1 + dofsEdges = []; + else + m = obj.mesh; + m.computeEdges(); + edges = m.edges.edgesInElem; + ndofEdge = obj.order-1; + ndofsEdgeElem = obj.mesh.edges.nEdgeByElem; + + dofsEdges = zeros(obj.mesh.nelem,ndofsEdgeElem*ndofEdge); + locPointEdge = squeeze(obj.mesh.edges.localNodeByEdgeByElem(:,:,1)); + locPointEdgeRef = obj.computeLocPointEdgeRef(); + + for iEdge = 1:obj.mesh.edges.nEdgeByElem + ind = (iEdge-1)*ndofEdge+1:iEdge*ndofEdge; + fl = locPointEdge(:,iEdge)~=locPointEdgeRef(iEdge); + v = edges(:,iEdge)*ndofEdge-(ndofEdge-1); + dofsEdges(:,ind) = obj.vectorUnion(v, length(ind), fl); + end + + dofsEdges = dofsEdges + m.nnodes; + end + end + + + function dofsFaces = computeDofsFaces(obj,ndofsEdges) + m = obj.mesh; + polOrder = obj.order; + if polOrder <= 1 + dofsFaces = []; + else + m.computeFaces(); + faces = m.faces.facesInElem; + ndofFace = obj.computeNdofsFaces(polOrder); + ndofsFaceElem = ndofFace*obj.mesh.faces.nFaceByElem; + + dofsFaces = zeros(obj.mesh.nelem,ndofsFaceElem); + for iElem = 1:obj.mesh.nelem + for iFace = 1:obj.mesh.faces.nFaceByElem + ind = (iFace-1)*ndofFace+1:iFace*ndofFace; + dofsFaces(iElem,ind) = faces(iElem,iFace)*ndofFace-(ndofFace-1):faces(iElem,iFace)*ndofFace; + end + end + + dofsFaces = dofsFaces + ndofsEdges; + end + end + + function ndofsFaces = computeNdofsFaces(obj,polOrder) + switch obj.mesh.type + case {'TRIANGLE','TETRAHEDRA'} + d = 3; + case {'QUAD','HEXAHEDRA'} + d = 2; + end + + ord = polOrder - d; + ndofsFaces = 0; + if ord == 0 + ndofsFaces = ndofsFaces + 1; + elseif ord > 0 + ndofsFaces = ndofsFaces + obj.mesh.faces.nNodeByFace + obj.mesh.faces.nEdgeByFace*(ord-1); + ndofsFaces = ndofsFaces + obj.computeNdofsFaces(ord-d); + end + end + + + function dofsElements = computeDofsElements(obj,ndofsFaces) + m = obj.mesh; + polOrder = obj.order; + isNot3D = strcmp(m.type,'TRIANGLE') || strcmp(m.type,'LINE') || strcmp(m.type,'QUAD'); + if polOrder <= 1 || isNot3D + dofsElements = []; + else + ndofElement = obj.computeNdofsElements(polOrder); + dofsElements = zeros(obj.mesh.nelem,ndofElement); + for iElem = 1:obj.mesh.nelem + dofsElements(iElem,:) = (iElem-1)*ndofElement+1:iElem*ndofElement; + end + + dofsElements = dofsElements + ndofsFaces; + end + end + + function ndofsElements = computeNdofsElements(obj,polOrder) + switch obj.mesh.type + case 'TETRAHEDRA' + d = 4; + case 'HEXAHEDRA' + d = 2; + end + + ord = polOrder - d; + ndofsElements = 0; + if ord == 0 + ndofsElements = ndofsElements + 1; + elseif ord > 0 + r.coord = obj.mesh.coord(obj.mesh.connec(1,:),:); + r.connec = 1:size(r.coord,1); + s.mesh = Mesh.create(r); + s.order = ord; + s.ndimf = obj.ndimf; + c = DOFsComputer(s); + c.computeDofs(); + ndofsElements = ndofsElements + c.getNumberDofs(); + end + end + + + function obtainDofsForVectorField(obj) + dofsDim = obj.dofs; + nDimf = obj.ndimf; + nNode = size(dofsDim, 2); + nDofsE = nNode*nDimf; + dofsElem = zeros(nDofsE,size(dofsDim,1)); + for iNode = 1:nNode + for iUnkn = 1:nDimf + idofElem = nDimf*(iNode - 1) + iUnkn; + globalNode = dofsDim(:,iNode); + idofGlobal = nDimf*(globalNode - 1) + iUnkn; + dofsElem(idofElem,:) = idofGlobal; + end + end + obj.dofs = dofsElem'; + obj.ndofs = max(max(obj.dofs)); + end + + + function ord = convertOrder(~,order) + if ischar(order) + switch order + case 'P0' + ord = 0; + case {'P1','P1D'} + ord = 1; + case 'P2' + ord = 2; + case 'P3' + ord = 3; + end + else + ord = order; + end + end + + + function loc = computeLocPointEdgeRef(obj) + type = obj.mesh.type; + switch type + case 'LINE' + loc = [1 2]; + case 'TRIANGLE' + loc = [1 2 3]; + case 'QUAD' + loc = [1 2 3 4]; + case 'TETRAHEDRA' + loc = [1 1 1 2 2 3]; + case 'HEXAHEDRA' + loc = [1 4 1 2 2 3 3 4 5 8 6 7]; + end + end + + function fh = computefHandlePosition(obj) + ndim = obj.mesh.ndim; + switch ndim + case 1 + fh.fHandle = @(x) x(1,:,:); + fh.ndimf = 1; + case 2 + fh.fHandle = @(x) [x(1,:,:),x(2,:,:)]; + fh.ndimf = 2; + case 3 + fh.fHandle = @(x) [x(1,:,:),x(2,:,:),x(3,:,:)]; + fh.ndimf = 3; + end + end + + end + +end diff --git a/AlbertTFG files/InterfaceCoupling_Albert.m b/AlbertTFG files/InterfaceCoupling_Albert.m new file mode 100644 index 0000000000..d18e9cad18 --- /dev/null +++ b/AlbertTFG files/InterfaceCoupling_Albert.m @@ -0,0 +1,137 @@ +classdef InterfaceCoupling_Albert < handle + + properties (Access = public) + interfaceConnec + interfaceConnecReshaped + end + + properties (Access = private) + meshReference + nSubdomains + interfaceMeshSubDomain + ninterfaces + tolSameNode + end + + properties (Access = private) + coordBdGl + GlNodeBd + end + + methods (Access = public) + + function obj = InterfaceCoupling_Albert(cParams) + obj.init(cParams) + + end + + function compute(obj) + obj.coordNodeBoundary(); + obj.computeCouplingConnec(); + obj.reshapeConecPerInterface(); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.meshReference = cParams.meshReference; + obj.nSubdomains = cParams.nSubdomains; + obj.interfaceMeshSubDomain = cParams.interfaceMeshSubDomain; + obj.ninterfaces = cParams.ninterfaces; + obj.tolSameNode = cParams.tolSameNode; + end + + function coordNodeBoundary(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + nnodes = obj.meshReference.nnodes; + interfaceMesh = obj.interfaceMeshSubDomain(); + ndim = interfaceMesh{1,1}{1,1}.mesh.ndim; + ninterface = obj.ninterfaces; + coordBdGl = zeros(1,ndim); + GlNodeBd = zeros(1,1); + for jDom = 1:nX + for iDom = 1:nY + for iline=1:ninterface + bdcood = interfaceMesh{jDom,iDom}{iline,1}.mesh.coord; + coordBdGl = [coordBdGl;bdcood]; + %although it says global is in subdomain + %conecctivity + conecInter = interfaceMesh{jDom,iDom}{iline,1}.globalConnec; + nodeIntSub = reshape(unique(conecInter),[],1); + nodeIntGl = nodeIntSub + nnodes*(nX*(jDom-1)+iDom-1); + GlNodeBd = [GlNodeBd; nodeIntGl]; + end + end + end + [GlNodeBd,ind] = unique(GlNodeBd); + coordBdGl = coordBdGl(ind,:); + obj.coordBdGl = coordBdGl(2:end,:); +% subDomNode = subDomNode(2:end,:); + obj.GlNodeBd = GlNodeBd(2:end,:); + end + + function computeCouplingConnec(obj) + ndim = obj.meshReference.ndim; + nBdNode = length(obj.GlNodeBd); + globalNode = obj.GlNodeBd; + coordBdGlAux = obj.coordBdGl; + imaster=1; + if ndim == 2 + coordAux = [coordBdGlAux zeros(nBdNode,1)]; + else + coordAux = coordBdGlAux; + end + for iBdNode = 1:nBdNode + NodeCoord = coordAux(iBdNode,:); + tol = obj.tolSameNode; + + + isSameNode = vecnorm(coordAux-NodeCoord,'Inf',2) - tol <= 0; + +% aux = (coordAux(:,1)==NodeCoord(1) & coordAux(:,2)==NodeCoord(2) & coordAux(:,3)==NodeCoord(3)); +% [~,ind] = ismember(NodeCoord,coordAux,'Rows'); + %ind = find(aux == 1); + if sum(isSameNode)>1 + sameNode = globalNode(isSameNode); + nsame = length(sameNode); + sameNodeOrdered(imaster,1:nsame) = sort(sameNode); + imaster=imaster+1; + end + end + obj.interfaceConnec=unique(sameNodeOrdered,'rows'); + end + + function reshapeConecPerInterface(obj) + globalConec = obj.interfaceConnec; + nRnodes = obj.meshReference.nnodes; + nnode = size(globalConec,1); + nint = obj.ninterfaces; + gbInt = 1; + inode = 1; + while inode < nnode + nodeId = globalConec(inode,1); + dom = ceil(nodeId/nRnodes); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + bdMesh = obj.interfaceMeshSubDomain{row,col}; + for iInt = 1:nint + isNode = bdMesh{iInt}.globalConnec == nodeId - nRnodes*(dom-1); + if sum(sum(isNode)) > 0 + nnodebd = bdMesh{iInt}.mesh.nnodes; + intConec{gbInt} = globalConec(inode:inode+nnodebd-1,:); + inode = inode + nnodebd; + gbInt = gbInt+1; + break + end + end + end + obj.interfaceConnecReshaped = intConec; + end + + + end + +end \ No newline at end of file diff --git a/AlbertTFG files/K.csv b/AlbertTFG files/K.csv new file mode 100644 index 0000000000..c16bcd8129 --- /dev/null +++ b/AlbertTFG files/K.csv @@ 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10 to pass the tutorial quickly +s.costParams.lambda = lambda; +s.costParams.costType = 'L2'; + +s.networkParams.HUtype = 'sigmoid'; +s.networkParams.OUtype = 'linear'; + +% Select the model's features +s.xFeatures = [1]; +s.yFeatures = [2:1:37]; +cHomogIdxs = [11, 12, 22, 33]; + +% Load data +%data = cHomogData(s); +data = Data(s); +s.data = data; + +% Train the model +opt = OptimizationProblemNN(s); +opt.solve(); +opt.plotCostFnc(); +MSETrain = immse(opt.computeOutputValues(data.Xtrain), data.Ytrain); + +%% Plot surface + +% Load dataset from specified path +filePath = fullfile('AlbertTFG files', s.fileName); +tempData = readmatrix(filePath); + + +real = tempData(:,2:end); +difference = zeros(size(real)); + +for i = 1:size(difference,1) + Y = opt.computeOutputValues(tempData(i,1)); + difference(i,:) = real(i, :)-Y; + +end + +rVector = tempData(:,1); +dataPoints = 1:1:size(difference,2); + +[x, y] = meshgrid(dataPoints, rVector'); + +zero = zeros(size(difference)) + +s = surf(x, y, abs(difference),'FaceAlpha',0.5) +s.EdgeColor = 'none'; +hold on +surf(x,y,zero) +xlabel("position in K matrix") +ylabel("radius") +zlabel("difference between real and predicted") + + +% Preallocate and evaluate y_data vector +%yData = cell2mat(arrayfun(@(i) opt.computeOutputValues(tempData(i, 1:max(s.xFeatures))), 1:size(tempData, 1), 'UniformOutput',false)'); + +% Y = opt.computeOutputValues([0.05]); +% dY = opt.computeGradient([0.05]); +% +% disp(Y) +% disp(dY) +% +% Y = opt.computeOutputValues([0.99]); +% dY = opt.computeGradient([0.99]); +% +% disp(Y) +% disp(dY) + +% % Determine grid size for reshaping data +% gridSize = floor(sqrt(size(tempData, 1))); + +% % Reshape data into grid format +% gridA = reshape(tempData(:, 1), [gridSize, gridSize]); +% gridB = reshape(tempData(:, 2), [gridSize, gridSize]); +% +% % Set up plot +% hfig = figure; +% tiledlayout(2, 2) +% +% for i = 1:length(s.yFeatures) +% +% gridC = reshape(tempData(:, s.yFeatures(i)), [gridSize, gridSize]); +% gridY = reshape(yData(:, i), [gridSize, gridSize]); +% +% % Plot 'Ground Truth' surface +% nexttile +% surf(gridA, gridB, gridC, 'FaceColor', 'blue', 'EdgeColor', 'none', 'DisplayName', 'Ground Truth'); +% hold on; +% +% % Plot 'Predicted' surface with transparency +% surf(gridA, gridB, gridY, 'FaceColor', [1, 0.5, 0], 'EdgeColor', 'none', 'DisplayName', 'Predicted'); +% alpha(0.7); +% view(125,20) +% +% % Add legend and axis labels +% legend('Location', 'best'); +% xlabel('Sx'); +% ylabel('Sy'); +% +% % Display title for the specific tensor component +% title(['Component ', num2str(cHomogIdxs(i)),' of Constitutive Tensor']); +% +% end +% +% % Adjust figure size and position +% hfig.Position = [100 100 1000 600]; +% +% %% Compute error +% +% Ytest_error = opt.computeOutputValues(data.Xtest) - data.Ytest; +% L2test_error = zeros(1, size(Ytest_error, 2)); +% for i = 1:size(Ytest_error, 2) +% L2test_error(i) = norm(Ytest_error(:, i)); +% end +% +% disp(norm(L2test_error)) \ No newline at end of file diff --git a/AlbertTFG files/LevelSetInclusion.m b/AlbertTFG files/LevelSetInclusion.m new file mode 100644 index 0000000000..210a34d15a --- /dev/null +++ b/AlbertTFG files/LevelSetInclusion.m @@ -0,0 +1,292 @@ +classdef LevelSetInclusion < handle + + properties (Access = public) + stiffness + strain + stress + end + + properties (Access = private) + physicalProblem + bc + boundaryConditions + problemSolver + forces + uFun + strainFun + end + + properties (Access = protected) + mesh + material + displacementFun + end + + + methods (Access = public) + + function obj = LevelSetInclusion() + obj.init() + obj.createMesh(); + + %% New ugly chunk of code warning + [u, L] = obj.doElasticProblemHere(); + + z.mesh = obj.mesh; + z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; + z.order = 'P1'; + uFeFun = LagrangianFunction(z); + + %obj.physicalProblem.solve(); + + + %% + + end + + end + + methods (Access = private) + + function init(~) + close all; + clc; + end + + function createMesh(obj) + bgMesh = obj.createReferenceMesh(); + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + obj.mesh = uMesh.createInnerMesh(); + end + + function mesh = createReferenceMesh(~) + %UnitMesh better + x1 = linspace(0,1,50); + x2 = linspace(0,1,50); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + mesh = Mesh.create(s); + end + + function levelSet = createLevelSetFunction(~,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0.5; + sLS.yCoorCenter = 0.5; + sLS.radius = 0.2; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function s = createElasticProblem(obj) + s.mesh = obj.mesh; + s.scale = 'MACRO'; + obj.createMaterial(); + s.material = obj.material; + s.dim = '2D'; + s.boundaryConditions = obj.createBoundaryConditions(); + s.interpolationType = 'LINEAR'; + s.solverType = 'MONOLITHIC'; + s.solverMode = 'DISP'; + s.solverCase = 'DIRECT'; + % fem = ElasticProblem(s); + % obj.physicalProblem = fem; + end + + function createMaterial(obj) + [young,poisson] = obj.computeElasticProperties(obj.mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = obj.mesh.ndim; + s.young = young; + s.poisson = poisson; + obj.material = Material.create(s); + + end + + function [young,poisson] = computeElasticProperties(~,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function bc = createBoundaryConditions(obj) + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + + corner1 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMin)<= tol; + corner2 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMin)<= tol; + corner3 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMax)<= tol; + corner4 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMax)<= tol; + + % isLeft = @(coor) abs(coor(:,1)-xMin) <= tol; + % isRight = @(coor) abs(coor(:,1)-xMax) <= tol; +% isForce = @(coor) (abs(coor(:,1))==xMax & abs(coor(:,2))>=0.4*yMax & abs(coor(:,2))<=0.6*yMax); + + sDir{1}.domain = @(coor) corner1(coor); + sDir{1}.direction = [2]; + sDir{1}.value = 0; + + sDir{5}.domain = @(coor) corner1(coor); + sDir{5}.direction = [1]; + sDir{5}.value = 1; + + sDir{2}.domain = @(coor) corner2(coor); + sDir{2}.direction = [1,2]; + sDir{2}.value = 0; + + sDir{3}.domain = @(coor) corner3(coor); + sDir{3}.direction = [1,2]; + sDir{3}.value = 0; + + sDir{4}.domain = @(coor) corner4(coor); + sDir{4}.direction = [1,2]; + sDir{4}.value = 0; + +% sPL{1}.domain = @(coor) isForce(coor); +% sPL{1}.direction = 2; +% sPL{1}.value = -1; + sPL = {}; + + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = cat(2, dirichletFun, dir); + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = cat(2, pointloadFun, pl); + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + + function [u, L] = doElasticProblemHere(obj) + cParams = obj.createElasticProblem(); + obj.createDisplacementFunHere(); + obj.createBCApplyerHere(cParams); + obj.createSolverHere(cParams) + obj.computeStiffnessMatrixHere(); + obj.computeForcesHere(cParams); + [u, L] = obj.computeDisplacementHere(); + % obj.computeStrainHere(); +% obj.computeStressHere(); + end + + function createDisplacementFunHere(obj) + obj.displacementFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1'); + end + + function createBCApplyerHere(obj, cParams) + s.mesh = obj.mesh; + s.boundaryConditions = cParams.boundaryConditions; + obj.bc = BCApplier(s); + end + + function createSolverHere(obj, cParams) + sS.type = cParams.solverCase; + solver = Solver.create(sS); + p.solverType = cParams.solverType; + p.solverMode = cParams.solverMode; + p.solver = solver; + + p.boundaryConditions = cParams.boundaryConditions; + p.BCApplier = obj.bc; + obj.problemSolver = ProblemSolver(p); + end + + function computeStiffnessMatrixHere(obj) + ndimf = obj.displacementFun.ndimf; + m.type = 'ElasticStiffnessMatrix'; + m.mesh = obj.mesh; + m.test = LagrangianFunction.create(obj.mesh,ndimf, 'P1'); + m.trial = obj.displacementFun; + m.material = obj.material; + + m.quadratureOrder = 2; + lhs = LHSIntegrator.create(m); + obj.stiffness = lhs.compute(); + end + + function computeForcesHere(obj, cParams) + n.type = 'Elastic'; + n.scale = 'MACRO'; + n.dim = obj.getFunDimsHere(); + n.BC = cParams.boundaryConditions; + n.mesh = obj.mesh; + n.material = obj.material; + n.globalConnec = obj.mesh.connec; + + RHSint = RHSIntegrator.create(n); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + if strcmp(cParams.solverType,'REDUCED') + R = RHSint.computeReactions(obj.stiffness); + obj.forces = rhs+R; + else + obj.forces = rhs; + end + + end + + function dim = getFunDimsHere(obj) + d.ndimf = obj.displacementFun.ndimf; + d.nnodes = size(obj.displacementFun.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function [u, L] = computeDisplacementHere(obj) + o.stiffness = obj.stiffness; + o.forces = obj.forces; + [u,L] = obj.problemSolver.solve(o); + z.mesh = obj.mesh; + z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; + z.order = 'P1'; + obj.uFun = LagrangianFunction(z); + uSplit = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; +% obj.displacementFun.fValues = uSplit; + obj.displacementFun.setFValues(uSplit); + end + + function computeStrainHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + obj.strainFun = SymGrad(obj.displacementFun); +% strFun = strFun.obtainVoigtFormat(); + obj.strain = obj.strainFun.evaluate(xV); + end + + function computeStressHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + stressFun = DDP(obj.material, obj.strainFun); + stressFun.ndimf = obj.strainFun.ndimf; + obj.stress = stressFun.evaluate(xV); + + end + + end +end \ No newline at end of file diff --git a/AlbertTFG files/LevelSetInclusionAuto.m b/AlbertTFG files/LevelSetInclusionAuto.m new file mode 100644 index 0000000000..a7d1a088e6 --- /dev/null +++ b/AlbertTFG files/LevelSetInclusionAuto.m @@ -0,0 +1,311 @@ +classdef LevelSetInclusionAuto < handle + + properties (Access = public) + stiffness + strain + stress + end + + properties (Access = private) + radius + nodeDirection + physicalProblem + bc + boundaryConditions + problemSolver + forces + uFun + strainFun + end + + properties (Access = protected) + mesh + material + displacementFun + end + + + methods (Access = public) + + function [obj, u, L] = LevelSetInclusionAuto(r, i) + obj.init(r, i) + obj.createMesh(); + + %% New ugly chunk of code warning + [u, L] = obj.doElasticProblemHere(); + + z.mesh = obj.mesh; + z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; + z.order = 'P1'; + uFeFun = LagrangianFunction(z); + + %obj.physicalProblem.solve(); + + + %% + + end + + end + + methods (Access = private) + + function init(obj, r, i) + % close all; + % clc; + obj.radius = r; + obj.nodeDirection = i; + end + + function createMesh(obj) + bgMesh = obj.createReferenceMesh(); + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + obj.mesh = uMesh.createInnerMesh(); + end + + function mesh = createReferenceMesh(~) + %UnitMesh better + x1 = linspace(0,1,50); + x2 = linspace(0,1,50); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + mesh = Mesh.create(s); + end + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0.5; + sLS.yCoorCenter = 0.5; + sLS.radius = obj.radius; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function s = createElasticProblem(obj) + s.mesh = obj.mesh; + s.scale = 'MACRO'; + obj.createMaterial(); + s.material = obj.material; + s.dim = '2D'; + s.boundaryConditions = obj.createBoundaryConditions(); + s.interpolationType = 'LINEAR'; + s.solverType = 'MONOLITHIC'; + s.solverMode = 'DISP'; + s.solverCase = 'DIRECT'; + % fem = ElasticProblem(s); + % obj.physicalProblem = fem; + end + + function createMaterial(obj) + [young,poisson] = obj.computeElasticProperties(obj.mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = obj.mesh.ndim; + s.young = young; + s.poisson = poisson; + obj.material = Material.create(s); + + end + + function [young,poisson] = computeElasticProperties(~,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function bc = createBoundaryConditions(obj) + + v = zeros(8,1); + v(obj.nodeDirection) = 1; + nRes = [1 1 2 2 3 3 4 4]*v; + assignMatrix = [2 1 0 0 0 0 0 0 + 0 0 2 1 0 0 0 0 + 0 0 0 0 2 1 0 0 + 0 0 0 0 0 0 2 1 + 1 2 1 2 1 2 1 2]; + + vSimp = assignMatrix*v; + dirs = cell(5,1); + [dirs{:,1}] = deal([1, 2]); + [dirs{nRes}] = deal(vSimp(nRes)); + [dirs{end}] = deal(vSimp(end)); + + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + + corner1 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMin)<= tol; + corner2 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMin)<= tol; + corner3 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMax)<= tol; + corner4 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMax)<= tol; + + cornerVec = {corner1; corner2; corner3; corner4}; + + + sDir{1}.domain = @(coor) cornerVec{1}(coor); + sDir{1}.direction = cell2mat(dirs(1)); + sDir{1}.value = 0; + + + sDir{2}.domain = @(coor) cornerVec{2}(coor); + sDir{2}.direction = cell2mat(dirs(2)); + sDir{2}.value = 0; + + sDir{3}.domain = @(coor) cornerVec{3}(coor); + sDir{3}.direction = cell2mat(dirs(3)); + sDir{3}.value = 0; + + sDir{4}.domain = @(coor) cornerVec{4}(coor); + sDir{4}.direction = cell2mat(dirs(4)); + sDir{4}.value = 0; + + sDir{5}.domain = @(coor) cornerVec{nRes}(coor); + sDir{5}.direction = cell2mat(dirs(end)); + sDir{5}.value = 1; + +% sPL{1}.domain = @(coor) isForce(coor); +% sPL{1}.direction = 2; +% sPL{1}.value = -1; + sPL = {}; + + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = cat(2, dirichletFun, dir); + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = cat(2, pointloadFun, pl); + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + + function [u, L] = doElasticProblemHere(obj) + cParams = obj.createElasticProblem(); + obj.createDisplacementFunHere(); + obj.createBCApplyerHere(cParams); + obj.createSolverHere(cParams) + obj.computeStiffnessMatrixHere(); + obj.computeForcesHere(cParams); + [u, L] = obj.computeDisplacementHere(); + obj.computeStrainHere(); + obj.computeStressHere(); + end + + function createDisplacementFunHere(obj) + obj.displacementFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1'); + end + + function createBCApplyerHere(obj, cParams) + s.mesh = obj.mesh; + s.boundaryConditions = cParams.boundaryConditions; + obj.bc = BCApplier(s); + end + + function createSolverHere(obj, cParams) + sS.type = cParams.solverCase; + solver = Solver.create(sS); + p.solverType = cParams.solverType; + p.solverMode = cParams.solverMode; + p.solver = solver; + + p.boundaryConditions = cParams.boundaryConditions; + p.BCApplier = obj.bc; + obj.problemSolver = ProblemSolver(p); + end + + function computeStiffnessMatrixHere(obj) + ndimf = obj.displacementFun.ndimf; + m.type = 'ElasticStiffnessMatrix'; + m.mesh = obj.mesh; + m.test = LagrangianFunction.create(obj.mesh,ndimf, 'P1'); + m.trial = obj.displacementFun; + m.material = obj.material; + + m.quadratureOrder = 2; + lhs = LHSintegrator.create(m); + obj.stiffness = lhs.compute(); + end + + function computeForcesHere(obj, cParams) + n.type = 'Elastic'; + n.scale = 'MACRO'; + n.dim = obj.getFunDimsHere(); + n.BC = cParams.boundaryConditions; + n.mesh = obj.mesh; + n.material = obj.material; + n.globalConnec = obj.mesh.connec; + + RHSint = RHSintegrator.create(n); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + if strcmp(cParams.solverType,'REDUCED') + R = RHSint.computeReactions(obj.stiffness); + obj.forces = rhs+R; + else + obj.forces = rhs; + end + + end + + function dim = getFunDimsHere(obj) + d.ndimf = obj.displacementFun.ndimf; + d.nnodes = size(obj.displacementFun.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function [u, L] = computeDisplacementHere(obj) + o.stiffness = obj.stiffness; + o.forces = obj.forces; + [u,L] = obj.problemSolver.solve(o); + z.mesh = obj.mesh; + z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; + z.order = 'P1'; + obj.uFun = LagrangianFunction(z); + uSplit = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; + obj.displacementFun.fValues = uSplit; + end + + function computeStrainHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + obj.strainFun = SymGrad(obj.displacementFun); +% strFun = strFun.obtainVoigtFormat(); + obj.strain = obj.strainFun.evaluate(xV); + end + + function computeStressHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + stressFun = DDP(obj.material, obj.strainFun); + stressFun.ndimf = obj.strainFun.ndimf; + obj.stress = stressFun.evaluate(xV); + + end + + end +end \ No newline at end of file diff --git a/AlbertTFG files/LevelSetInclusionAuto_Ausetic.m b/AlbertTFG files/LevelSetInclusionAuto_Ausetic.m new file mode 100644 index 0000000000..68d8847587 --- /dev/null +++ b/AlbertTFG files/LevelSetInclusionAuto_Ausetic.m @@ -0,0 +1,732 @@ +classdef LevelSetInclusionAuto_Ausetic < handle + + properties (Access = public) + stiffness + strain + stress + dLambda + end + + properties (Access = private) + radius + nodeDirection + physicalProblem + bc + boundaryConditions + problemSolver + forces + uFun + strainFun + RmeshFilename + + end + + properties (Access = protected) + mesh + material + displacementFun + boundaryMesh + boundaryMeshJoined + localGlobalConnecBd + end + + + methods (Access = public) + + function [obj, u, L, mesh] = LevelSetInclusionAuto_Ausetic() + obj.init(); + obj.createMesh(); + + %% New ugly chunk of code warning + [u, L] = obj.doElasticProblemHere(); + mesh = obj.mesh; + + % z.mesh = obj.mesh; + % z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; + % z.order = 'P1'; + % uFeFun = LagrangianFunction(z); + + %obj.physicalProblem.solve(); + + + %% + + end + + end + + methods (Access = private) + + function init(obj) + % close all; + % clc; + obj.RmeshFilename = "DEF_Q4auxL_1.mat"; + end + + function createMesh(obj) + % bgMesh = obj.createReferenceMesh(); + % lvSet = obj.createLevelSetFunction(bgMesh); + % uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + % obj.mesh = uMesh.createInnerMesh(); + % obj.mesh = bgMesh; + obj.mesh = obj.loadAuseticMesh(); + + obj.boundaryMesh = obj.mesh.createBoundaryMesh(); + [obj.boundaryMeshJoined, obj.localGlobalConnecBd] = obj.mesh.createSingleBoundaryMesh(); + end + + function mesh = loadAuseticMesh(obj) + Data = load(obj.RmeshFilename); + s.coord = Data.EIFEoper.MESH.COOR; + s.connec = Data.EIFEoper.MESH.CN; + + mesh = Mesh.create(s); + + end + + function mesh = createReferenceMesh(~) + + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + mesh = Mesh.create(s); + end + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = obj.radius; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function s = createElasticProblem(obj) + s.mesh = obj.mesh; + s.scale = 'MACRO'; + obj.createMaterial(); + s.material = obj.material; + s.dim = '2D'; + s.boundaryConditions = obj.createBoundaryConditions(); + s.interpolationType = 'LINEAR'; + s.solverType = 'MONOLITHIC'; + s.solverMode = 'DISP'; + s.solverCase = 'DIRECT'; + % fem = ElasticProblem(s); + % obj.physicalProblem = fem; + end + + function createMaterial(obj) + [young,poisson] = obj.computeElasticProperties(obj.mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = obj.mesh.ndim; + s.young = young; + s.poisson = poisson; + obj.material = Material.create(s); + + end + + function [young,poisson] = computeElasticProperties(~,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function bc = createBoundaryConditions(obj) + + v = zeros(8,1); + v(1) = 1; + nRes = [1 1 2 2 3 3 4 4]*v; + assignMatrix = [2 1 0 0 0 0 0 0 + 0 0 2 1 0 0 0 0 + 0 0 0 0 2 1 0 0 + 0 0 0 0 0 0 2 1 + 1 2 1 2 1 2 1 2]; + + vSimp = assignMatrix*v; + dirs = cell(5,1); + [dirs{:,1}] = deal([1, 2]); + [dirs{nRes}] = deal(vSimp(nRes)); + [dirs{end}] = deal(vSimp(end)); + + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + + corner1 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMin)<= tol; + corner2 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMin)<= tol; + corner3 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMax)<= tol; + corner4 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMax)<= tol; + + cornerVec = {corner1; corner2; corner3; corner4}; + + isForce = @(coor) (abs(coor(:,1) - xMin) < 1e-10); + + + sDir{1}.domain = @(coor) cornerVec{1}(coor); + sDir{1}.direction = cell2mat(dirs(1)); + sDir{1}.value = 0; + + + sDir{2}.domain = @(coor) cornerVec{2}(coor); + sDir{2}.direction = cell2mat(dirs(2)); + sDir{2}.value = 0; + + sDir{3}.domain = @(coor) cornerVec{3}(coor); + sDir{3}.direction = cell2mat(dirs(3)); + sDir{3}.value = 0; + + sDir{4}.domain = @(coor) cornerVec{4}(coor); + sDir{4}.direction = cell2mat(dirs(4)); + sDir{4}.value = 0; + + sDir{5}.domain = @(coor) cornerVec{nRes}(coor); + sDir{5}.direction = cell2mat(dirs(end)); + sDir{5}.value = 1; + + % sPL{1}.domain = @(coor) isForce(coor); + % sPL{1}.direction = 2; + % sPL{1}.value = 0; + sPL = {}; + + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = cat(2, dirichletFun, dir); + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = cat(2, pointloadFun, pl); + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + +% function bc = createBoundaryConditions(obj) +% Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); +% Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 - x(1,:,:)+0.5).*(Ly/2 - x(2,:,:)+0.5); +% f2 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 + x(1,:,:)+0.5).*(Ly/2 - x(2,:,:)+0.5); +% f3 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 + x(1,:,:)+0.5).*(Ly/2 + x(2,:,:)+0.5); +% f4 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 - x(1,:,:)+0.5).*(Ly/2 + x(2,:,:)+0.5); +% ndimf = 1; +% +% N11 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{1}.mesh); +% N13 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N23 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N22 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{2}.mesh); +% N23 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N22 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{2}.mesh); +% +% coord = [obj.boundaryMesh{1}.mesh.coord] +% +% +% end + + function [u, L] = doElasticProblemHere(obj) + s = obj.createElasticProblem(); + obj.createDisplacementFunHere(); + obj.createBCApplyerHere(s); + obj.createSolverHere(s) + obj.computeStiffnessMatrixHere(); + obj.computeForcesHere(s); + c = obj.computeCmatP1(); + rdir = obj.RHSdir(); + [u, L] = obj.computeDisplacementHere(c, rdir); + + if isa(obj.dLambda, "LagrangianFunction") + l2g_dof = ((obj.localGlobalConnecBd*obj.displacementFun.ndimf)' - ((obj.displacementFun.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + uB = u(l2g_dof, :); + L = uB'*L; + end + % obj.plotSolution(u,L); + %obj.computeStrainHere(); + %obj.computeStressHere(); + end + + function createDisplacementFunHere(obj) + obj.displacementFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1'); + end + + function createBCApplyerHere(obj, cParams) + s.mesh = obj.mesh; + s.boundaryConditions = cParams.boundaryConditions; + obj.bc = BCApplier(s); + end + + function createSolverHere(obj, cParams) + sS.type = cParams.solverCase; + solver = Solver.create(sS); + p.solverType = cParams.solverType; + p.solverMode = cParams.solverMode; + p.solver = solver; + + p.boundaryConditions = cParams.boundaryConditions; + p.BCApplier = obj.bc; + obj.problemSolver = ProblemSolver(p); + end + + function computeStiffnessMatrixHere(obj) + ndimf = obj.displacementFun.ndimf; + m.type = 'ElasticStiffnessMatrix'; + m.mesh = obj.mesh; + m.test = LagrangianFunction.create(obj.mesh,ndimf, 'P1'); + m.trial = obj.displacementFun; + m.material = obj.material; + + m.quadratureOrder = 2; + lhs = LHSIntegrator.create(m); + obj.stiffness = lhs.compute(); + end + + function computeForcesHere(obj, cParams) + n.type = 'Elastic'; + n.scale = 'MACRO'; + n.dim = obj.getFunDimsHere(); + n.BC = cParams.boundaryConditions; + n.mesh = obj.mesh; + n.material = obj.material; + n.globalConnec = obj.mesh.connec; + + RHSint = RHSIntegrator.create(n); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + if strcmp(cParams.solverType,'REDUCED') + R = RHSint.computeReactions(obj.stiffness); + obj.forces = rhs+R; + else + obj.forces = rhs; + end + + end + + function Cg = computeCmatP1(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + + % lhs = LHSintegrator_ShapeFunction_fun(s); + lhs = LHSintegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + obj.dLambda = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + Cg = lhs.compute(obj.dLambda,test); + + for i = 1:size(Cg,1) + ci = Cg(i,:); + maxRow = max(ci); + if maxRow > 0 + ci(ci == maxRow) = 1; + ci(ci < maxRow) = 0; + Cg(i,:) = ci; + end + + end + end + + function Cg = computeCmatP2(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + + % lhs = LHSintegrator_ShapeFunction_fun(s); + lhs = LHSIntegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + obj.dLambda = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + Cg = lhs.compute(obj.dLambda,test); + end + + function Cg = computeCmat(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + s.mesh = obj.boundaryMeshJoined; + + lhs = LHSIntegrator_ShapeFunction_fun(s); + % lhs = LHSintegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; +% f2 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% f3 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f1 = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); + + %% Project to P1 +% obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + Ce = lhs.compute(obj.dLambda{i},test); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, obj.dLambda{i}.ndimf)]; + end + + end + + function Cg = computeCmatEdgeCorner(obj,data) + s.quadType = 2; + s.mesh = obj.boundaryMeshJoined; + lhs = LHSIntegrator_ShapeFunction_fun(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; +% f2 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% f3 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f1 = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); + + %% Project to P1 +% obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + Ce = lhs.compute(obj.dLambda{i},test); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, obj.dLambda{i}.ndimf)]; + end + cornerDof = data.boundaryConditions.dirichlet_dofs; + Cg(cornerDof,:) = 0; + Cg2 = zeros(size(Cg,1),size(cornerDof,1)); + for i=1:length(cornerDof) + Cg2(cornerDof(i),i)=1; + end + Cg = [Cg,Cg2]; + end + + function Cg = computeCmatRB(obj,data) + s.quadType = 2; + s.mesh = obj.boundaryMeshJoined; + lhs = LHSIntegrator_ShapeFunction_fun(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + minx = min(obj.mesh.coord(:,1)); + miny = min(obj.mesh.coord(:,2)); + maxx = max(obj.mesh.coord(:,1)); + maxy = max(obj.mesh.coord(:,2)); + x0 = (maxx+minx)/2; + y0 = (maxy+miny)/2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); + theta = 1*pi/180; + cond = [minx, maxx, miny, maxy]; + nrb=3; + k=1; + dof = [1,1,2,2]; + for i=1:length(obj.boundaryMesh) + x0 = (max(obj.boundaryMesh{i}.mesh.coord(:,1))+ min(obj.boundaryMesh{i}.mesh.coord(:,1)))/2; + y0 = (max(obj.boundaryMesh{i}.mesh.coord(:,2))+ min(obj.boundaryMesh{i}.mesh.coord(:,2)))/2; + f{k} = @(x) [(x(dof(i),:,:)==cond(i)).*(x(1,:,:)./x(1,:,:)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0);... + x(2,:,:).*0 ]; + f{k+1} = @(x) [x(dof(i),:,:).*0 ;... + (x(dof(i),:,:)==cond(i)).*(x(1,:,:)./x(1,:,:)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; + f{k+2} = @(x) [(x(dof(i),:,:)==cond(i)).*((x(1,:,:)-x0).*cos(theta) - (x(2,:,:)-y0).*sin(theta)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ;... + (x(dof(i),:,:)==cond(i)).*((x(1,:,:)-x0).*sin(theta) + (x(2,:,:)-y0).*cos(theta))*-1 + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; +% f{k+2} = @(x) [(x(dof(i),:,:)==cond(i)).*((x(2,:,:)-y0)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ;... +% (x(dof(i),:,:)==cond(i)).*(-(x(1,:,:)-x0)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; + k=k+3; + end +% f1 = @(x) [(x(2,:,:)==miny).*(x(1,:,:)./x(1,:,:)) + (x(2,:,:)~=miny).*(x(1,:,:)*0);... +% x(2,:,:).*0 ]; +% f2 = @(x) [x(2,:,:).*0 ;... +% (x(2,:,:)==miny).*(x(1,:,:)./x(1,:,:)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ]; +% f3 = @(x) [(x(2,:,:)==miny).*((x(1,:,:)-x0).*cos(theta) - (x(2,:,:)-(-1)).*sin(theta)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ;... +% (x(2,:,:)==miny).*((x(1,:,:)-x0).*sin(theta) + (x(2,:,:)-(-1)).*cos(theta)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ]; +% % f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... +% % 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% % f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... +% % 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; +% f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); +% dLambda = dLambda.project('P1'); +% obj.dLambda{i}.plot + Ce = lhs.compute(obj.dLambda{i},test); + Ce = sum(Ce,2); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, 1)]; + end +% cornerDof = data.boundaryConditions.dirichlet_dofs; +% Cg(cornerDof,:) = 0; +% Cg2 = zeros(size(Cg,1),size(cornerDof,1)); +% for i=1:length(cornerDof) +% Cg2(cornerDof(i),i)=1; +% end +% Cg = [Cg,Cg2]; + end + + + + function dim = getFunDimsHere(obj) + d.ndimf = obj.displacementFun.ndimf; + d.nnodes = size(obj.displacementFun.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + +% function [u, L] = computeDisplacementHere(obj) +% o.stiffness = obj.stiffness; +% o.forces = obj.forces; +% [u,L] = obj.problemSolver.solve(o); +% z.mesh = obj.mesh; +% z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; +% z.order = 'P1'; +% obj.uFun = LagrangianFunction(z); +% uSplit = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; +% obj.displacementFun.fValues = uSplit; +% end + + function [u, L] = computeDisplacementHere(obj,c, rdir) + K = obj.stiffness; + nC = size(c,2); + Z = zeros(nC); + LHS = [K, c; c' Z]; + % ud = eye(nC); +% % ud(7) = 1; +% ud(1) = 1; + forces = zeros(obj.displacementFun.nDofs, size(rdir, 2)); + + RHS = [forces; rdir]; + sol = LHS\RHS; + u = sol(1:obj.displacementFun.nDofs,:); + L = -sol(obj.displacementFun.nDofs+1:end,:); +% obj.displacementFun.fValues = u; +% EIFEMtesting.plotSolution(u,obj.mesh,1,1,0,0) + end + + function plotSolution(obj,u,L) +% obj.displacementFun.fValues = u; +% EIFEMtesting.plotSolution(u,obj.mesh,1,1,0,0) + L = reshape(L,2,[])'; + nbasis = size(obj.dLambda,2); + for i = 1:nbasis + lambda{i} = obj.dLambda{i}.*L(i,:)'; + lambdaP1 = lambda{i}.project('P1'); + EIFEMtesting.plotSolution(lambdaP1.fValues,obj.boundaryMeshJoined,2,1,i,0) + end + end + + function computeStrainHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + obj.strainFun = SymGrad(obj.displacementFun); +% strFun = strFun.obtainVoigtFormat(); + obj.strain = obj.strainFun.evaluate(xV); + end + + function computeStressHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + stressFun = DDP(obj.material, obj.strainFun); + stressFun.ndimf = obj.strainFun.ndimf; + obj.stress = stressFun.evaluate(xV); + + end + + + function rDir = RHSdir(obj) + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + s.mesh = obj.boundaryMeshJoined; + s.quadType = 2; + rhs = RHSIntegratorShapeFunction(s); + + f1x = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 0*x(2,:,:) ]; + f2x = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 0*x(2,:,:) ]; + f3x = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 0*x(2,:,:) ]; + f4x = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 0*x(2,:,:) ]; + + f1y = @(x) [0*x(1,:,:);... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2y = @(x) [0*x(1,:,:);... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3y = @(x) [0*x(1,:,:);... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4y = @(x) [0*x(1,:,:);... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + + + f = {f1x f1y f2x f2y f3x f3y f4x f4y}; % + nfun = size(f,2); + rDir = []; + + Ud = obj.AnalyticalDirCond(); + for i=1:nfun + % Ud{i} = AnalyticalFunction.create(f{i},obj.mesh.ndim,obj.boundaryMeshJoined); + + % %% Project to P1 + % obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + rDire = rhs.compute(Ud{i},test); +% [iLoc,jLoc,vals] = find(Ce); +% +% % l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% % l2g_dof = l2g_dof(:); +% % jGlob = l2g_dof(jLoc); +% % Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; +% +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% iGlob = l2g_dof(iLoc); + rDir = [rDir rDire]; + end + + + + + end + + function rDir = RHSweak(obj, c) + rDir = eye(size(c,2)); + + end + + + function uD = AnalyticalDirCond(obj) + xmax = max(obj.mesh.coord(:,1)); + ymax = max(obj.mesh.coord(:,2)); + xmin = min(obj.mesh.coord(:,1)); + ymin = min(obj.mesh.coord(:,2)); + a = (-xmin+xmax)/2; + b = (-ymin+ymax)/2; + x0 = xmin+a; + y0 = ymin+b; + +% f1x = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... +% 0*x(2,:,:) ]; +% f2x = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... +% 0*x(2,:,:) ]; +% f3x = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... +% 0*x(2,:,:) ]; +% f4x = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 0*x(2,:,:) ]; +% +% f1y = @(x) [0*x(1,:,:);... +% 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; +% f2y = @(x) [0*x(1,:,:);... +% 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% f3y = @(x) [0*x(1,:,:);... +% 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4y = @(x) [0*x(1,:,:);... +% 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + + f1x = @(x) [1/(4)*(1-(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f2x = @(x) [1/(4)*(1+(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f3x = @(x) [1/(4)*(1+(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f4x = @(x) [1/(4)*(1-(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + + f1y = @(x) [0*x(1,:,:);... + 1/(4)*(1-(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b) ]; + f2y = @(x) [0*x(1,:,:);... + 1/(4)*(1+(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b) ]; + f3y = @(x) [0*x(1,:,:);... + 1/(4)*(1+(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b) ]; + f4y = @(x) [0*x(1,:,:);... + 1/(4)*(1-(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b)]; + + f = {f1x f1y f2x f2y f3x f3y f4x f4y}; % + nfun = size(f,2); + for i=1:nfun + uD{i} = AnalyticalFunction.create(f{i},obj.mesh.ndim,obj.boundaryMeshJoined); + end + end + + end +end diff --git a/AlbertTFG files/LevelSetInclusionAuto_raul.m b/AlbertTFG files/LevelSetInclusionAuto_raul.m new file mode 100644 index 0000000000..c727147585 --- /dev/null +++ b/AlbertTFG files/LevelSetInclusionAuto_raul.m @@ -0,0 +1,664 @@ +classdef LevelSetInclusionAuto_raul < handle + + properties (Access = public) + stiffness + strain + stress + dLambda + bcApplier + end + + properties (Access = private) + radius + nodeDirection + physicalProblem + + boundaryConditions + problemSolver + forces + uFun + strainFun + + end + + properties (Access = protected) + mesh + material + displacementFun + boundaryMesh + boundaryMeshJoined + localGlobalConnecBd + end + + + methods (Access = public) + + function [obj, u, L, mesh] = LevelSetInclusionAuto_raul(r, i) + obj.init(r, i) + obj.createMesh(); + + %% New ugly chunk of code warning + [u, L] = obj.doElasticProblemHere(); + mesh = obj.mesh; + + z.mesh = obj.mesh; + z.fValues = reshape(u(:,1),[obj.mesh.ndim,obj.mesh.nnodes])'; + z.order = 'P1'; + uFeFun = LagrangianFunction(z); + + %obj.physicalProblem.solve(); + + + %% + + end + + end + + methods (Access = private) + + function init(obj, r, i) + % close all; + % clc; + obj.radius = r; + obj.nodeDirection = i; + end + + function createMesh(obj) + bgMesh = obj.createReferenceMesh(); + % lvSet = obj.createLevelSetFunction(bgMesh); + % uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + % obj.mesh = uMesh.createInnerMesh(); + obj.mesh = bgMesh; + % + obj.boundaryMesh = obj.mesh.createBoundaryMesh(); + [obj.boundaryMeshJoined, obj.localGlobalConnecBd] = obj.mesh.createSingleBoundaryMesh(); + end + + function mesh = createReferenceMesh(~) + + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + mesh = Mesh.create(s); + end + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = obj.radius; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function s = createElasticProblem(obj) + s.mesh = obj.mesh; + s.scale = 'MACRO'; + obj.createMaterial(); + s.material = obj.material; + s.dim = '2D'; + s.boundaryConditions = obj.createBoundaryConditions(); + s.interpolationType = 'LINEAR'; + s.solverType = 'MONOLITHIC'; + s.solverMode = 'DISP'; + s.solverCase = 'DIRECT'; + % fem = ElasticProblem(s); + % obj.physicalProblem = fem; + end + + function createMaterial(obj) + [young,poisson] = obj.computeElasticProperties(obj.mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = obj.mesh.ndim; + s.young = young; + s.poisson = poisson; + obj.material = Material.create(s); + + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E1 = 1; + E2 = E1/1000; + nu = 1/3; + x0=0; + y0=0; +% young = ConstantFunction.create(E,mesh); +% poisson = ConstantFunction.create(nu,mesh); + f = @(x) (sqrt((x(1,:,:)-x0).^2+(x(2,:,:)-y0).^2)=obj.radius)*E1 ; +% x(2,:,:).*0 ]; + young = AnalyticalFunction.create(f,1,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function bc = createBoundaryConditions(obj) + + v = zeros(8,1); + v(obj.nodeDirection) = 1; + nRes = [1 1 2 2 3 3 4 4]*v; + assignMatrix = [2 1 0 0 0 0 0 0 + 0 0 2 1 0 0 0 0 + 0 0 0 0 2 1 0 0 + 0 0 0 0 0 0 2 1 + 1 2 1 2 1 2 1 2]; + + vSimp = assignMatrix*v; + dirs = cell(5,1); + [dirs{:,1}] = deal([1, 2]); + [dirs{nRes}] = deal(vSimp(nRes)); + [dirs{end}] = deal(vSimp(end)); + + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + + corner1 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMin)<= tol; + corner2 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMin)<= tol; + corner3 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMax)<= tol; + corner4 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMax)<= tol; + + cornerVec = {corner1; corner2; corner3; corner4}; + + isForce = @(coor) (abs(coor(:,1) - xMin) < 1e-10); + + + sDir{1}.domain = @(coor) cornerVec{1}(coor); + sDir{1}.direction = cell2mat(dirs(1)); + sDir{1}.value = 0; + + + sDir{2}.domain = @(coor) cornerVec{2}(coor); + sDir{2}.direction = cell2mat(dirs(2)); + sDir{2}.value = 0; + + sDir{3}.domain = @(coor) cornerVec{3}(coor); + sDir{3}.direction = cell2mat(dirs(3)); + sDir{3}.value = 0; + + sDir{4}.domain = @(coor) cornerVec{4}(coor); + sDir{4}.direction = cell2mat(dirs(4)); + sDir{4}.value = 0; + + sDir{5}.domain = @(coor) cornerVec{nRes}(coor); + sDir{5}.direction = cell2mat(dirs(end)); + sDir{5}.value = 1; + + % sPL{1}.domain = @(coor) isForce(coor); + % sPL{1}.direction = 2; + % sPL{1}.value = 0; + sPL = {}; + + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = cat(2, dirichletFun, dir); + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = cat(2, pointloadFun, pl); + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + +% function bc = createBoundaryConditions(obj) +% Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); +% Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 - x(1,:,:)+0.5).*(Ly/2 - x(2,:,:)+0.5); +% f2 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 + x(1,:,:)+0.5).*(Ly/2 - x(2,:,:)+0.5); +% f3 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 + x(1,:,:)+0.5).*(Ly/2 + x(2,:,:)+0.5); +% f4 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 - x(1,:,:)+0.5).*(Ly/2 + x(2,:,:)+0.5); +% ndimf = 1; +% +% N11 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{1}.mesh); +% N13 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N23 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N22 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{2}.mesh); +% N23 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N22 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{2}.mesh); +% +% coord = [obj.boundaryMesh{1}.mesh.coord] +% +% +% end + + function [u, L] = doElasticProblemHere(obj) + s = obj.createElasticProblem(); + obj.createDisplacementFunHere(); + obj.createBCApplyerHere(s); + obj.createSolverHere(s) + obj.computeStiffnessMatrixHere(); + obj.computeForcesHere(s); + c = obj.computeCmatP1(); + rdir = obj.RHSdir(); + [u, L] = obj.computeDisplacementHere(c, rdir); + + if isa(obj.dLambda, "LagrangianFunction") + l2g_dof = ((obj.localGlobalConnecBd*obj.displacementFun.ndimf)' - ((obj.displacementFun.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + uB = u(l2g_dof, :); + L = uB'*L; + end + % obj.plotSolution(u,L); + %obj.computeStrainHere(); + %obj.computeStressHere(); + end + + function createDisplacementFunHere(obj) + obj.displacementFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1'); + end + + function createBCApplyerHere(obj, cParams) + s.mesh = obj.mesh; + s.boundaryConditions = cParams.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + function createSolverHere(obj, cParams) + sS.type = cParams.solverCase; + solver = Solver.create(sS); + p.solverType = cParams.solverType; + p.solverMode = cParams.solverMode; + p.solver = solver; + + p.boundaryConditions = cParams.boundaryConditions; + p.BCApplier = obj.bcApplier; + obj.problemSolver = ProblemSolver(p); + end + + function computeStiffnessMatrixHere(obj) + ndimf = obj.displacementFun.ndimf; + m.type = 'ElasticStiffnessMatrix'; + m.mesh = obj.mesh; + m.test = LagrangianFunction.create(obj.mesh,ndimf, 'P1'); + m.trial = obj.displacementFun; + m.material = obj.material; + + m.quadratureOrder = 2; + lhs = LHSIntegrator.create(m); + obj.stiffness = lhs.compute(); + end + + function computeForcesHere(obj, cParams) + n.type = 'Elastic'; + n.scale = 'MACRO'; + n.dim = obj.getFunDimsHere(); + n.BC = cParams.boundaryConditions; + n.mesh = obj.mesh; + n.material = obj.material; + n.globalConnec = obj.mesh.connec; + + RHSint = RHSIntegrator.create(n); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + if strcmp(cParams.solverType,'REDUCED') + R = RHSint.computeReactions(obj.stiffness); + obj.forces = rhs+R; + else + obj.forces = rhs; + end + + end + + function Cg = computeCmatP1(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + + % lhs = LHSintegrator_ShapeFunction_fun(s); + lhs = LHSintegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + obj.dLambda = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + Cg = lhs.compute(obj.dLambda,test); + end + + function Cg = computeCmatP2(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + + % lhs = LHSintegrator_ShapeFunction_fun(s); + lhs = LHSintegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + obj.dLambda = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + Cg = lhs.compute(obj.dLambda,test); + end + + function Cg = computeCmat(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + s.mesh = obj.boundaryMeshJoined; + + lhs = LHSintegrator_ShapeFunction_fun(s); + % lhs = LHSintegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; +% f2 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% f3 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f1 = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); + + %% Project to P1 +% obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + Ce = lhs.compute(obj.dLambda{i},test); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, obj.dLambda{i}.ndimf)]; + end + + end + + function Cg = computeCmatEdgeCorner(obj,data) + s.quadType = 2; + s.mesh = obj.boundaryMeshJoined; + lhs = LHSintegrator_ShapeFunction_fun(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; +% f2 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% f3 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f1 = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); + + %% Project to P1 +% obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + Ce = lhs.compute(obj.dLambda{i},test); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, obj.dLambda{i}.ndimf)]; + end + cornerDof = data.boundaryConditions.dirichlet_dofs; + Cg(cornerDof,:) = 0; + Cg2 = zeros(size(Cg,1),size(cornerDof,1)); + for i=1:length(cornerDof) + Cg2(cornerDof(i),i)=1; + end + Cg = [Cg,Cg2]; + end + + function Cg = computeCmatRB(obj,data) + s.quadType = 2; + s.mesh = obj.boundaryMeshJoined; + lhs = LHSintegrator_ShapeFunction_fun(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + minx = min(obj.mesh.coord(:,1)); + miny = min(obj.mesh.coord(:,2)); + maxx = max(obj.mesh.coord(:,1)); + maxy = max(obj.mesh.coord(:,2)); + x0 = (maxx+minx)/2; + y0 = (maxy+miny)/2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); + theta = 1*pi/180; + cond = [minx, maxx, miny, maxy]; + nrb=3; + k=1; + dof = [1,1,2,2]; + for i=1:length(obj.boundaryMesh) + x0 = (max(obj.boundaryMesh{i}.mesh.coord(:,1))+ min(obj.boundaryMesh{i}.mesh.coord(:,1)))/2; + y0 = (max(obj.boundaryMesh{i}.mesh.coord(:,2))+ min(obj.boundaryMesh{i}.mesh.coord(:,2)))/2; + f{k} = @(x) [(x(dof(i),:,:)==cond(i)).*(x(1,:,:)./x(1,:,:)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0);... + x(2,:,:).*0 ]; + f{k+1} = @(x) [x(dof(i),:,:).*0 ;... + (x(dof(i),:,:)==cond(i)).*(x(1,:,:)./x(1,:,:)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; + f{k+2} = @(x) [(x(dof(i),:,:)==cond(i)).*((x(1,:,:)-x0).*cos(theta) - (x(2,:,:)-y0).*sin(theta)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ;... + (x(dof(i),:,:)==cond(i)).*((x(1,:,:)-x0).*sin(theta) + (x(2,:,:)-y0).*cos(theta))*-1 + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; +% f{k+2} = @(x) [(x(dof(i),:,:)==cond(i)).*((x(2,:,:)-y0)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ;... +% (x(dof(i),:,:)==cond(i)).*(-(x(1,:,:)-x0)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; + k=k+3; + end +% f1 = @(x) [(x(2,:,:)==miny).*(x(1,:,:)./x(1,:,:)) + (x(2,:,:)~=miny).*(x(1,:,:)*0);... +% x(2,:,:).*0 ]; +% f2 = @(x) [x(2,:,:).*0 ;... +% (x(2,:,:)==miny).*(x(1,:,:)./x(1,:,:)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ]; +% f3 = @(x) [(x(2,:,:)==miny).*((x(1,:,:)-x0).*cos(theta) - (x(2,:,:)-(-1)).*sin(theta)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ;... +% (x(2,:,:)==miny).*((x(1,:,:)-x0).*sin(theta) + (x(2,:,:)-(-1)).*cos(theta)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ]; +% % f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... +% % 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% % f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... +% % 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; +% f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); +% dLambda = dLambda.project('P1'); +% obj.dLambda{i}.plot + Ce = lhs.compute(obj.dLambda{i},test); + Ce = sum(Ce,2); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, 1)]; + end +% cornerDof = data.boundaryConditions.dirichlet_dofs; +% Cg(cornerDof,:) = 0; +% Cg2 = zeros(size(Cg,1),size(cornerDof,1)); +% for i=1:length(cornerDof) +% Cg2(cornerDof(i),i)=1; +% end +% Cg = [Cg,Cg2]; + end + + + + function dim = getFunDimsHere(obj) + d.ndimf = obj.displacementFun.ndimf; + d.nnodes = size(obj.displacementFun.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + +% function [u, L] = computeDisplacementHere(obj) +% o.stiffness = obj.stiffness; +% o.forces = obj.forces; +% [u,L] = obj.problemSolver.solve(o); +% z.mesh = obj.mesh; +% z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; +% z.order = 'P1'; +% obj.uFun = LagrangianFunction(z); +% uSplit = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; +% obj.displacementFun.fValues = uSplit; +% end + + function [u, L] = computeDisplacementHere(obj,c, rdir) + K = obj.stiffness; + nC = size(c,2); + Z = zeros(nC); + LHS = [K, c; c' Z]; + % ud = eye(nC); +% % ud(7) = 1; +% ud(1) = 1; + forces = zeros(obj.displacementFun.nDofs, size(rdir, 2)); + + RHS = [forces; rdir]; + sol = LHS\RHS; + u = sol(1:obj.displacementFun.nDofs,:); + L = -sol(obj.displacementFun.nDofs+1:end,:); +% obj.displacementFun.fValues = u; +% EIFEMtesting.plotSolution(u,obj.mesh,1,1,0,0) + end + + function plotSolution(obj,u,L) +% obj.displacementFun.fValues = u; +% EIFEMtesting.plotSolution(u,obj.mesh,1,1,0,0) + L = reshape(L,2,[])'; + nbasis = size(obj.dLambda,2); + for i = 1:nbasis + lambda{i} = obj.dLambda{i}.*L(i,:)'; + lambdaP1 = lambda{i}.project('P1'); + EIFEMtesting.plotSolution(lambdaP1.fValues,obj.boundaryMeshJoined,2,1,i,0) + end + end + + function computeStrainHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + obj.strainFun = SymGrad(obj.displacementFun); +% strFun = strFun.obtainVoigtFormat(); + obj.strain = obj.strainFun.evaluate(xV); + end + + function computeStressHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + stressFun = DDP(obj.material, obj.strainFun); + stressFun.ndimf = obj.strainFun.ndimf; + obj.stress = stressFun.evaluate(xV); + + end + + + function rDir = RHSdir(obj) + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + s.mesh = obj.boundaryMeshJoined; + s.quadType = 2; + rhs = RHSIntegratorShapeFunction(s); + + f1x = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 0*x(2,:,:) ]; + f2x = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 0*x(2,:,:) ]; + f3x = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 0*x(2,:,:) ]; + f4x = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 0*x(2,:,:) ]; + + f1y = @(x) [0*x(1,:,:);... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2y = @(x) [0*x(1,:,:);... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3y = @(x) [0*x(1,:,:);... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4y = @(x) [0*x(1,:,:);... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + + + f = {f1x f1y f2x f2y f3x f3y f4x f4y}; % + nfun = size(f,2); + rDir = []; + for i=1:nfun + Ud{i} = AnalyticalFunction.create(f{i},obj.mesh.ndim,obj.boundaryMeshJoined); + + % %% Project to P1 + % obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + rDire = rhs.compute(Ud{i},test); +% [iLoc,jLoc,vals] = find(Ce); +% +% % l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% % l2g_dof = l2g_dof(:); +% % jGlob = l2g_dof(jLoc); +% % Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; +% +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% iGlob = l2g_dof(iLoc); + rDir = [rDir rDire]; + end + + + + + end + + function rDir = RHSweak(obj, c) + rDir = eye(size(c,2)); + + end + + end +end diff --git a/AlbertTFG files/LevelSetInclusionAuto_raulHole.m b/AlbertTFG files/LevelSetInclusionAuto_raulHole.m new file mode 100644 index 0000000000..4b7594a1c4 --- /dev/null +++ b/AlbertTFG files/LevelSetInclusionAuto_raulHole.m @@ -0,0 +1,647 @@ +classdef LevelSetInclusionAuto_raulHole < handle + + properties (Access = public) + stiffness + strain + stress + dLambda + end + + properties (Access = private) + radius + nodeDirection + physicalProblem + bc + boundaryConditions + problemSolver + forces + uFun + strainFun + + end + + properties (Access = protected) + mesh + material + displacementFun + boundaryMesh + boundaryMeshJoined + localGlobalConnecBd + end + + + methods (Access = public) + + function [obj, u, L, mesh] = LevelSetInclusionAuto_raulHole(r, i) + obj.init(r, i) + obj.createMesh(); + + %% New ugly chunk of code warning + [u, L] = obj.doElasticProblemHere(); + mesh = obj.mesh; + + % z.mesh = obj.mesh; + % z.fValues = reshape(u,[obj.mesh.ndim,obj.mesh.nnodes])'; + % z.order = 'P1'; + % uFeFun = LagrangianFunction(z); + + %obj.physicalProblem.solve(); + + + %% + + end + + end + + methods (Access = private) + + function init(obj, r, i) + % close all; + % clc; + obj.radius = r; + obj.nodeDirection = i; + end + + function createMesh(obj) + bgMesh = obj.createReferenceMesh(); + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + obj.mesh = uMesh.createInnerMesh(); + % obj.mesh = bgMesh; + + obj.boundaryMesh = obj.mesh.createBoundaryMesh(); + [obj.boundaryMeshJoined, obj.localGlobalConnecBd] = obj.mesh.createSingleBoundaryMesh(); + end + + function mesh = createReferenceMesh(~) + + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + mesh = Mesh.create(s); + end + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = obj.radius; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function s = createElasticProblem(obj) + s.mesh = obj.mesh; + s.scale = 'MACRO'; + obj.createMaterial(); + s.material = obj.material; + s.dim = '2D'; + s.boundaryConditions = obj.createBoundaryConditions(); + s.interpolationType = 'LINEAR'; + s.solverType = 'MONOLITHIC'; + s.solverMode = 'DISP'; + s.solverCase = 'DIRECT'; + % fem = ElasticProblem(s); + % obj.physicalProblem = fem; + end + + function createMaterial(obj) + [young,poisson] = obj.computeElasticProperties(obj.mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = obj.mesh.ndim; + s.young = young; + s.poisson = poisson; + obj.material = Material.create(s); + + end + + function [young,poisson] = computeElasticProperties(~,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function bc = createBoundaryConditions(obj) + + v = zeros(8,1); + v(obj.nodeDirection) = 1; + nRes = [1 1 2 2 3 3 4 4]*v; + assignMatrix = [2 1 0 0 0 0 0 0 + 0 0 2 1 0 0 0 0 + 0 0 0 0 2 1 0 0 + 0 0 0 0 0 0 2 1 + 1 2 1 2 1 2 1 2]; + + vSimp = assignMatrix*v; + dirs = cell(5,1); + [dirs{:,1}] = deal([1, 2]); + [dirs{nRes}] = deal(vSimp(nRes)); + [dirs{end}] = deal(vSimp(end)); + + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + + corner1 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMin)<= tol; + corner2 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMin)<= tol; + corner3 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMax)<= tol; + corner4 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMax)<= tol; + + cornerVec = {corner1; corner2; corner3; corner4}; + + isForce = @(coor) (abs(coor(:,1) - xMin) < 1e-10); + + + sDir{1}.domain = @(coor) cornerVec{1}(coor); + sDir{1}.direction = cell2mat(dirs(1)); + sDir{1}.value = 0; + + + sDir{2}.domain = @(coor) cornerVec{2}(coor); + sDir{2}.direction = cell2mat(dirs(2)); + sDir{2}.value = 0; + + sDir{3}.domain = @(coor) cornerVec{3}(coor); + sDir{3}.direction = cell2mat(dirs(3)); + sDir{3}.value = 0; + + sDir{4}.domain = @(coor) cornerVec{4}(coor); + sDir{4}.direction = cell2mat(dirs(4)); + sDir{4}.value = 0; + + sDir{5}.domain = @(coor) cornerVec{nRes}(coor); + sDir{5}.direction = cell2mat(dirs(end)); + sDir{5}.value = 1; + + % sPL{1}.domain = @(coor) isForce(coor); + % sPL{1}.direction = 2; + % sPL{1}.value = 0; + sPL = {}; + + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = cat(2, dirichletFun, dir); + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = cat(2, pointloadFun, pl); + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + +% function bc = createBoundaryConditions(obj) +% Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); +% Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 - x(1,:,:)+0.5).*(Ly/2 - x(2,:,:)+0.5); +% f2 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 + x(1,:,:)+0.5).*(Ly/2 - x(2,:,:)+0.5); +% f3 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 + x(1,:,:)+0.5).*(Ly/2 + x(2,:,:)+0.5); +% f4 = @(x) 1/(4*Lx/2*Ly/2)*(Lx/2 - x(1,:,:)+0.5).*(Ly/2 + x(2,:,:)+0.5); +% ndimf = 1; +% +% N11 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{1}.mesh); +% N13 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N23 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N22 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{2}.mesh); +% N23 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{3}.mesh); +% N22 = AnalyticalFunction.create(f1,ndimf,obj.boundaryMesh{2}.mesh); +% +% coord = [obj.boundaryMesh{1}.mesh.coord] +% +% +% end + + function [u, L] = doElasticProblemHere(obj) + s = obj.createElasticProblem(); + obj.createDisplacementFunHere(); + obj.createBCApplyerHere(s); + obj.createSolverHere(s) + obj.computeStiffnessMatrixHere(); + obj.computeForcesHere(s); + c = obj.computeCmatP1(); + rdir = obj.RHSdir(); + [u, L] = obj.computeDisplacementHere(c, rdir); + + if isa(obj.dLambda, "LagrangianFunction") + l2g_dof = ((obj.localGlobalConnecBd*obj.displacementFun.ndimf)' - ((obj.displacementFun.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + uB = u(l2g_dof, :); + L = uB'*L; + end + % obj.plotSolution(u,L); + %obj.computeStrainHere(); + %obj.computeStressHere(); + end + + function createDisplacementFunHere(obj) + obj.displacementFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim, 'P1'); + end + + function createBCApplyerHere(obj, cParams) + s.mesh = obj.mesh; + s.boundaryConditions = cParams.boundaryConditions; + obj.bc = BCApplier(s); + end + + function createSolverHere(obj, cParams) + sS.type = cParams.solverCase; + solver = Solver.create(sS); + p.solverType = cParams.solverType; + p.solverMode = cParams.solverMode; + p.solver = solver; + + p.boundaryConditions = cParams.boundaryConditions; + p.BCApplier = obj.bc; + obj.problemSolver = ProblemSolver(p); + end + + function computeStiffnessMatrixHere(obj) + ndimf = obj.displacementFun.ndimf; + m.type = 'ElasticStiffnessMatrix'; + m.mesh = obj.mesh; + m.test = LagrangianFunction.create(obj.mesh,ndimf, 'P1'); + m.trial = obj.displacementFun; + m.material = obj.material; + + m.quadratureOrder = 2; + lhs = LHSIntegrator.create(m); + obj.stiffness = lhs.compute(); + end + + function computeForcesHere(obj, cParams) + n.type = 'Elastic'; + n.scale = 'MACRO'; + n.dim = obj.getFunDimsHere(); + n.BC = cParams.boundaryConditions; + n.mesh = obj.mesh; + n.material = obj.material; + n.globalConnec = obj.mesh.connec; + + RHSint = RHSIntegrator.create(n); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + if strcmp(cParams.solverType,'REDUCED') + R = RHSint.computeReactions(obj.stiffness); + obj.forces = rhs+R; + else + obj.forces = rhs; + end + + end + + function Cg = computeCmatP1(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + + % lhs = LHSintegrator_ShapeFunction_fun(s); + lhs = LHSintegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + obj.dLambda = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + Cg = lhs.compute(obj.dLambda,test); + end + + function Cg = computeCmatP2(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + + % lhs = LHSintegrator_ShapeFunction_fun(s); + lhs = LHSintegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + obj.dLambda = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + Cg = lhs.compute(obj.dLambda,test); + end + + function Cg = computeCmat(obj) + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.mesh.nnodes; + s.mesh = obj.boundaryMeshJoined; + + + + lhs = LHSintegrator_ShapeFunction_fun(s); + % lhs = LHSintegrator_MassBoundary_albert(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; +% f2 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% f3 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f1 = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); + + %% Project to P1 + obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + Ce = lhs.compute(obj.dLambda{i},test); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, obj.dLambda{i}.ndimf)]; + end + + end + + function Cg = computeCmatEdgeCorner(obj,data) + s.quadType = 2; + s.mesh = obj.boundaryMeshJoined; + lhs = LHSintegrator_ShapeFunction_fun(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); +% f1 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; +% f2 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% f3 = @(x) [1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4*Lx/2*Ly/2)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f1 = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); + + %% Project to P1 +% obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + Ce = lhs.compute(obj.dLambda{i},test); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, obj.dLambda{i}.ndimf)]; + end + cornerDof = data.boundaryConditions.dirichlet_dofs; + Cg(cornerDof,:) = 0; + Cg2 = zeros(size(Cg,1),size(cornerDof,1)); + for i=1:length(cornerDof) + Cg2(cornerDof(i),i)=1; + end + Cg = [Cg,Cg2]; + end + + function Cg = computeCmatRB(obj,data) + s.quadType = 2; + s.mesh = obj.boundaryMeshJoined; + lhs = LHSintegrator_ShapeFunction_fun(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); % !! + ndimf = 2; + minx = min(obj.mesh.coord(:,1)); + miny = min(obj.mesh.coord(:,2)); + maxx = max(obj.mesh.coord(:,1)); + maxy = max(obj.mesh.coord(:,2)); + x0 = (maxx+minx)/2; + y0 = (maxy+miny)/2; + Lx = max(obj.mesh.coord(:,1)) - min(obj.mesh.coord(:,1)); + Ly = max(obj.mesh.coord(:,2)) - min(obj.mesh.coord(:,2)); + theta = 1*pi/180; + cond = [minx, maxx, miny, maxy]; + nrb=3; + k=1; + dof = [1,1,2,2]; + for i=1:length(obj.boundaryMesh) + x0 = (max(obj.boundaryMesh{i}.mesh.coord(:,1))+ min(obj.boundaryMesh{i}.mesh.coord(:,1)))/2; + y0 = (max(obj.boundaryMesh{i}.mesh.coord(:,2))+ min(obj.boundaryMesh{i}.mesh.coord(:,2)))/2; + f{k} = @(x) [(x(dof(i),:,:)==cond(i)).*(x(1,:,:)./x(1,:,:)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0);... + x(2,:,:).*0 ]; + f{k+1} = @(x) [x(dof(i),:,:).*0 ;... + (x(dof(i),:,:)==cond(i)).*(x(1,:,:)./x(1,:,:)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; + f{k+2} = @(x) [(x(dof(i),:,:)==cond(i)).*((x(1,:,:)-x0).*cos(theta) - (x(2,:,:)-y0).*sin(theta)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ;... + (x(dof(i),:,:)==cond(i)).*((x(1,:,:)-x0).*sin(theta) + (x(2,:,:)-y0).*cos(theta))*-1 + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; +% f{k+2} = @(x) [(x(dof(i),:,:)==cond(i)).*((x(2,:,:)-y0)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ;... +% (x(dof(i),:,:)==cond(i)).*(-(x(1,:,:)-x0)) + (x(dof(i),:,:)~=cond(i)).*(x(1,:,:)*0) ]; + k=k+3; + end +% f1 = @(x) [(x(2,:,:)==miny).*(x(1,:,:)./x(1,:,:)) + (x(2,:,:)~=miny).*(x(1,:,:)*0);... +% x(2,:,:).*0 ]; +% f2 = @(x) [x(2,:,:).*0 ;... +% (x(2,:,:)==miny).*(x(1,:,:)./x(1,:,:)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ]; +% f3 = @(x) [(x(2,:,:)==miny).*((x(1,:,:)-x0).*cos(theta) - (x(2,:,:)-(-1)).*sin(theta)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ;... +% (x(2,:,:)==miny).*((x(1,:,:)-x0).*sin(theta) + (x(2,:,:)-(-1)).*cos(theta)) + (x(2,:,:)~=miny).*(x(1,:,:)*0) ]; +% % f2 = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... +% % 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% % f3 = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... +% % 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4 = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; +% f = {f1 f2 f3 f4}; % + nfun = size(f,2); + Cg = []; + for i=1:nfun + obj.dLambda{i} = AnalyticalFunction.create(f{i},ndimf,obj.boundaryMeshJoined); +% dLambda = dLambda.project('P1'); +% obj.dLambda{i}.plot + Ce = lhs.compute(obj.dLambda{i},test); + Ce = sum(Ce,2); + [iLoc,jLoc,vals] = find(Ce); + +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% jGlob = l2g_dof(jLoc); +% Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; + + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + iGlob = l2g_dof(iLoc); + Cg = [Cg sparse(iGlob,jLoc,vals, obj.displacementFun.nDofs, 1)]; + end +% cornerDof = data.boundaryConditions.dirichlet_dofs; +% Cg(cornerDof,:) = 0; +% Cg2 = zeros(size(Cg,1),size(cornerDof,1)); +% for i=1:length(cornerDof) +% Cg2(cornerDof(i),i)=1; +% end +% Cg = [Cg,Cg2]; + end + + + + function dim = getFunDimsHere(obj) + d.ndimf = obj.displacementFun.ndimf; + d.nnodes = size(obj.displacementFun.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + + function [u, L] = computeDisplacementHere(obj,c, rdir) + K = obj.stiffness; + nC = size(c,2); + Z = zeros(nC); + LHS = [K, c; c' Z]; + % ud = eye(nC); +% % ud(7) = 1; +% ud(1) = 1; + forces = zeros(obj.displacementFun.nDofs, size(rdir, 2)); + + RHS = [forces; rdir]; + sol = LHS\RHS; + u = sol(1:obj.displacementFun.nDofs,:); + L = -sol(obj.displacementFun.nDofs+1:end,:); +% obj.displacementFun.fValues = u; +% EIFEMtesting.plotSolution(u,obj.mesh,1,1,0,0) + end + + function plotSolution(obj,u,L) +% obj.displacementFun.fValues = u; +% EIFEMtesting.plotSolution(u,obj.mesh,1,1,0,0) + L = reshape(L,2,[])'; + nbasis = size(obj.dLambda,2); + for i = 1:nbasis + lambda{i} = obj.dLambda{i}.*L(i,:)'; + lambdaP1 = lambda{i}.project('P1'); + EIFEMtesting.plotSolution(lambdaP1.fValues,obj.boundaryMeshJoined,2,1,i,0) + end + end + + function computeStrainHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + obj.strainFun = SymGrad(obj.displacementFun); +% strFun = strFun.obtainVoigtFormat(); + obj.strain = obj.strainFun.evaluate(xV); + end + + function computeStressHere(obj) + quad = Quadrature.create(obj.mesh, 2); + xV = quad.posgp; + stressFun = DDP(obj.material, obj.strainFun); + stressFun.ndimf = obj.strainFun.ndimf; + obj.stress = stressFun.evaluate(xV); + + end + + + function rDir = RHSdir(obj) + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.mesh.ndim, 'P1'); + s.mesh = obj.boundaryMeshJoined; + s.quadType = 2; + rhs = RHSIntegratorShapeFunction(s); + + f1x = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... + 0*x(2,:,:) ]; + f2x = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... + 0*x(2,:,:) ]; + f3x = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... + 0*x(2,:,:) ]; + f4x = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... + 0*x(2,:,:) ]; + + f1y = @(x) [0*x(1,:,:);... + 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; + f2y = @(x) [0*x(1,:,:);... + 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; + f3y = @(x) [0*x(1,:,:);... + 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; + f4y = @(x) [0*x(1,:,:);... + 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + + + f = {f1x f1y f2x f2y f3x f3y f4x f4y}; % + nfun = size(f,2); + rDir = []; + for i=1:nfun + Ud{i} = AnalyticalFunction.create(f{i},obj.mesh.ndim,obj.boundaryMeshJoined); + + % %% Project to P1 + % obj.dLambda{i} = obj.dLambda{i}.project('P1'); + + rDire = rhs.compute(Ud{i},test); +% [iLoc,jLoc,vals] = find(Ce); +% +% % l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% % l2g_dof = l2g_dof(:); +% % jGlob = l2g_dof(jLoc); +% % Cg = [Cg sparse(iLoc,jGlob,vals, obj.displacementFun.nDofs, dLambda.nDofs)]; +% +% l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; +% l2g_dof = l2g_dof(:); +% iGlob = l2g_dof(iLoc); + rDir = [rDir rDire]; + end + + + + + end + + function rDir = RHSweak(obj, c) + rDir = eye(size(c,2)); + + end + + end + +end diff --git a/AlbertTFG files/MeshCreatorFromRVE_Albert.m b/AlbertTFG files/MeshCreatorFromRVE_Albert.m new file mode 100644 index 0000000000..5e2527e1db --- /dev/null +++ b/AlbertTFG files/MeshCreatorFromRVE_Albert.m @@ -0,0 +1,168 @@ +classdef MeshCreatorFromRVE_Albert < handle + + properties (Access = public) + + end + + properties (Access = private) + nSubdomains + rSubdomains + meshReference + interfaceMeshReference + ninterfaces + tolSameNode + end + + properties (Access = private) + meshSubDomain + interfaceMeshSubDomain + meshDomain + interfaceConnec + localGlobalConnec + interfaceConnecReshaped + domainMeshDisc + end + + methods (Access = public) + + function obj = MeshCreatorFromRVE_Albert(cParams) + obj.init(cParams) + end + + function [mD,mSD,interfaceConnec,bdSB,localGlobalConnec,interfaceConnecReshaped,dMesh] = create(obj) + obj.createSubDomainMeshes(); + obj.createInterfaceSubDomainMeshes(); + obj.createDomainMesh(); + mD = obj.meshDomain; + mSD = obj.meshSubDomain; + interfaceConnec = obj.interfaceConnec; + interfaceConnecReshaped = obj.interfaceConnecReshaped; + bdSB = obj.interfaceMeshSubDomain; + localGlobalConnec = obj.localGlobalConnec; + dMesh = obj.domainMeshDisc; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.nSubdomains = cParams.nsubdomains; %nx ny + obj.rSubdomains = cParams.rsubdomains; + obj.meshReference = cParams.meshReference; + obj.tolSameNode = cParams.tolSameNode; + + iMR = []; + nin = []; + + for i = 1:size(obj.nSubdomains,2) + imr = obj.meshReference(i).createBoundaryMesh(); + nin = cat(1, nin, length(imr) ); + iMR = cat(1, iMR, imr); + end + + obj.interfaceMeshReference = iMR; + obj.ninterfaces = nin; + + end + + function createSubDomainMeshes(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + %figure(2) + for jDom = 1:nY + for iDom = 1:nX + coordIJ = obj.computeSubdomainCoords(jDom,iDom); + mIJ = obj.createSubdomainMesh(coordIJ,jDom,iDom); + %mIJ.plot(); + mD{jDom,iDom} = mIJ; + % hold on + end + end + obj.meshSubDomain = mD; + end + + function concatenateMeshes(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + coord = []; + connec = []; + for jDom = 1:nX + for iDom = 1:nY + m = obj.meshSubDomain{jDom,iDom}; + coord = [coord;m.coord]; + connec = [connec;m.connec]; + end + end + s.coord = coord; + s.connec = connec; + mAll = Mesh.create(s); + + end + + function L = computeReferenceMeshLength(obj,jDom,iDom) + coord = obj.meshReference(jDom,iDom).coord; + Lx = max(coord(:,1))-min(coord(:,1)); + Ly = max(coord(:,2))-min(coord(:,2)); + L = [Lx Ly]; + end + + function coord = computeSubdomainCoords(obj,jDom,iDom) + coord0 = obj.meshReference(jDom, iDom).coord; + L = obj.computeReferenceMeshLength(jDom,iDom); + Lx = L(1); + Ly = L(2); + coord(:,1) = coord0(:,1)+Lx*(iDom-1); + coord(:,2) = coord0(:,2)+Ly*(jDom-1); + end + + function m = createSubdomainMesh(obj,coord,jDom,iDom) + connec0 = obj.meshReference(jDom,iDom).connec; + s.coord = coord; + s.connec = connec0; + m = Mesh.create(s); + end + + function createInterfaceSubDomainMeshes(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + + for jDom = 1:nX + for iDom = 1:nY + bIJ = obj.meshSubDomain{iDom,jDom}.createBoundaryMesh(); + bD{jDom,iDom} = bIJ; + % hold on + % for iline=1:length(bIJ) + % bIJ{iline}.mesh.plot(); + % end + end + end + obj.interfaceMeshSubDomain = bD; + end + + function createDomainMesh(obj) + s.nSubdomains = obj.nSubdomains; + s.meshReference = obj.meshReference; + s.interfaceMeshSubDomain = obj.interfaceMeshSubDomain; + s.ninterfaces = obj.ninterfaces; + s.meshSubDomain = obj.meshSubDomain; + + s.tolSameNode = obj.tolSameNode; + coupling = InterfaceCoupling_Albert(s); + coupling.compute(); + obj.interfaceConnec = coupling.interfaceConnec; + + obj.interfaceConnecReshaped = coupling.interfaceConnecReshaped; + + s.interfaceConnec = coupling.interfaceConnec; + s.tolSameNode = obj.tolSameNode; + + DMesh = DomainMeshComputer(s); + DMesh.compute(); + obj.meshDomain = DMesh.domainMesh; + obj.localGlobalConnec = DMesh.localGlobalConnec; + obj.domainMeshDisc = DMesh.domainMeshDisc; + end + end + +end \ No newline at end of file diff --git a/AlbertTFG files/k_long.csv b/AlbertTFG files/k_long.csv new file mode 100644 index 0000000000..021b57b2ec --- /dev/null +++ b/AlbertTFG files/k_long.csv @@ -0,0 +1,91 @@ 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1:size(r,2) + U = []; + L = []; + Object = {}; + auxl = []; + + % [~, u, l, mesh] = LevelSetInclusionAuto_raulHole(r(j),1); + % string = strrep("UL_r"+r(j), ".", "_")+"-20x20-Hole"+".mat"; + + [~, u, l, mesh] = LevelSetInclusionAuto_raul(r(j),1); + string = strrep("UL_r"+num2str(r(j), '%.4f'), ".", "_")+"-20x20"+".mat"; + % + % [~, u, l, mesh] = LevelSetInclusionAuto_Ausetic(); + % string = "UL-Ausetic.mat"; + + for i = 1:8 + auxl = cat(2, auxl, l(i, i:end)); + end + disp(r(j)) + s = cat(2, r(j), auxl); + S = cat(1, S, s); + + U = cat(2, U, u); + L = cat(2, L, l); + R = r(j); + + + + save(string, "U", "L", "mesh","R"); + %save(string, "U", "L", "mesh"); + +end +writematrix(S, 'k.csv') \ No newline at end of file diff --git a/AlbertTFG files/levelSetTesting.m b/AlbertTFG files/levelSetTesting.m new file mode 100644 index 0000000000..241b370415 --- /dev/null +++ b/AlbertTFG files/levelSetTesting.m @@ -0,0 +1,357 @@ +classdef levelSetTesting < handle + %UNTITLED Summary of this class goes here + % Detailed explanation goes here + + properties + nSubdomains + fileNameEIFEM + tolSameNode + meshDomain + boundaryConditions + bcApplier + LHS + mesh + Kel + U + end + + methods + function obj = levelSetTesting() + clc; close all; + obj.init(); + + mR = obj.createReferenceMesh(); + [mD,mSb,iC,lG,iCR, discMesh] = obj.createMeshDomain(mR); + mRcoarse = obj.createReferenceCoarseMesh(mR); + u = obj.createCoarseElasticProblem(mRcoarse); + u = u(:); + CoarsePlotSolution(u, discMesh, [], "r0_1 Fine test") + %EIFEMtesting.plotSolution(u, discMesh, 20, 1, 0, [], 0) + + + end + + function init(obj) + obj.nSubdomains = [2 1]; %nx ny + obj.fileNameEIFEM = "UL_r0_1-20x20"; + obj.tolSameNode = 1e-14; + data = load(obj.fileNameEIFEM); + obj.Kel = data.L; + obj.U = data.U; + end + + function mS = createReferenceMesh(obj) + mS = obj.createStructuredMesh(); + end + + function mS = createStructuredMesh(obj) + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + bgMesh = Mesh.create(s); + + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + mS = uMesh.createInnerMesh(); + end + + function levelSet = createLevelSetFunction(~,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = 0.1; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function [mD,mSb,iC,lG,iCR, discMesh] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR, discMesh] = m.create(); + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = cat(2,dirichletFun, dir); + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.fValues = fvalues; + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + minx = min(obj.meshDomain.coord(:,1)); + maxx = max(obj.meshDomain.coord(:,1)); + %miny = min(obj.meshDomain.coord(:,2)); + maxy = max(obj.meshDomain.coord(:,2)); + tolBound = 1e-8; + isLeft = @(coor) (abs(coor(:,1) - minx) < tolBound); + isRight = @(coor) (abs(coor(:,1) - maxx) < tolBound); + %isBottom = @(coor) (abs(coor(:,2) - miny) < tolBound); + isTop = @(coor) (abs(coor(:,2) - maxy) < tolBound); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor)| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + + PL.domain = @(coor) isTop(coor); + PL.direction = 2; + PL.value = -0.1; + % PL.domain = @(coor) isRight(coor); + % PL.direction = [1]; + % PL.value = [0.1]; + end + + function createBCapplier(obj) + s.mesh = obj.meshDomain; + s.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + function [LHSr,RHSr,lhs] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs,LHSr] = obj.computeStiffnessMatrix(); + RHSr = obj.computeForces(lhs,u); + end + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(~,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function [LHS,LHSr] = computeStiffnessMatrix(obj, dispFun) + + K = repmat(obj.Kel,[1,1, obj.mesh.nelem]); + + trial = dispFun; + test = trial; + s.fun = dispFun; + assembler = AssemblerFun(s); + LHS = assembler.assemble(K, test, trial); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + end + + function RHS = computeForces(obj,stiffness,u) + s.type = 'Elastic'; + s.scale = 'MACRO'; + s.dim.ndofs = u.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.mesh; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + R = RHSint.computeReactions(stiffness); + RHS = rhs+R; + RHS = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + end + + + function cMesh = createReferenceCoarseMesh(~,mR) + xmax = max(mR.coord(:,1)); + xmin = min(mR.coord(:,1)); + ymax = max(mR.coord(:,2)); + ymin = min(mR.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; + + % xmax = max(mR.coord(:,1)); + % xmin = min(mR.coord(:,1)); + % ymax = max(mR.coord(:,2)); + % ymin = min(mR.coord(:,2)); + % coord(1,1) = xmin; + % coord(1,2) = (ymin+ymax)/2; + % coord(2,1) = (xmax+xmin)/2; + % coord(2,2) = ymin; + % coord(3,1) = xmax; + % coord(3,2) = (ymin+ymax)/2; + % coord(4,1) = (xmax+xmin)/2; + % coord(4,2) = ymax; + % + connec = [1 2 3 4]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function [u] = createCoarseElasticProblem(obj, mRcoarse) + bS = mRcoarse.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR, discMesh] = obj.createMeshDomain(mRcoarse); + obj.mesh = mD; + + + dispFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim,'P1'); + obj.boundaryConditions = createCoarseBoundaryConditions(obj); + obj.createBCapplier(); + [LHS,LHSr] = obj.computeStiffnessMatrix(dispFun); + + + + RHS = obj.computeForces(LHS, dispFun) + + uRed = LHSr\RHS; + uCoarse = obj.bcApplier.reducedToFullVectorDirichlet(uRed); + CoarsePlotSolution(uCoarse, mD, [], "r0_1 Coarse test") + %EIFEMtesting.plotSolution(uCoarse, mD, 1, 2, 0, [], 0) + + + u = obj.reconstructSolution(uCoarse, dispFun); + + % for i = 1:obj.nSubdomains(1) + % EIFEMtesting.plotSolution(u(:,i), mSb{i}, 1, i, 0, [], 0) + % + % + % end + + + + end + + function [lhs,RHSr,LHSr] = coarseElasticProblem(obj) + + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs, LHSr] = obj.computeStiffnessMatrix(obj.meshDomain,u,material); + RHSr = obj.computeForces(lhs,u); + + end + + function u = reconstructSolution(obj, uCoarse, dispFun) + nElem = obj.mesh.nelem; + dofConec = dispFun.getDofConnec(); + for ielem = 1:nElem + uCelem = uCoarse(dofConec(ielem,:)); + u(:,ielem) = obj.U*uCelem; + end + + end + + function bc = createCoarseBoundaryConditions(obj) + + % v = zeros(8,1); + % v(obj.nodeDirection) = 1; + % nRes = [1 1 2 2 3 3 4 4]*v; + % assignMatrix = [2 1 0 0 0 0 0 0 + % 0 0 2 1 0 0 0 0 + % 0 0 0 0 2 1 0 0 + % 0 0 0 0 0 0 2 1 + % 1 2 1 2 1 2 1 2]; + % + % vSimp = assignMatrix*v; + % dirs = cell(5,1); + % [dirs{:,1}] = deal([1, 2]); + % [dirs{nRes}] = deal(vSimp(nRes)); + % [dirs{end}] = deal(vSimp(end)); + + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + + left = @(coor) abs(coor(:,1)-xMin) <= tol; + right = @(coor) abs(coor(:,1)-xMax) <= tol; + % corner3 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMax)<= tol; + % corner4 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMax)<= tol; + + sDir{1}.domain = @(coor) left(coor); + sDir{1}.direction = [1,2]; + sDir{1}.value = 0; + % sDir{1}.ndim = 3; + + % sDir{2}.domain = @(coor) corner2(coor); + % sDir{2}.direction = [1,2]; + % sDir{2}.value = 0; + % + % sDir{3}.domain = @(coor) corner3(coor); + % sDir{3}.direction = [1,2]; + % sDir{3}.value = 0; + % + % sDir{4}.domain = @(coor) corner4(coor); + % sDir{4}.direction = [1,2]; + % sDir{4}.value = 0; + + % sDir{5}.domain = @(coor) corner1(coor); + % sDir{5}.direction = 1; + % sDir{5}.value = 1; + + + % isForce = @(coor) (abs(coor(:,1) - xMin) < 1e-10); + + + sPL{1}.domain = @(coor) right(coor); + sPL{1}.direction = 2; + sPL{1}.value = 1; + %sPL{1}.ndim = 3; + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = cat(2, dirichletFun, dir); + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = cat(2, pointloadFun, pl); + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + + end +end diff --git a/AlbertTFG files/levelSetTestingAusetic.m b/AlbertTFG files/levelSetTestingAusetic.m new file mode 100644 index 0000000000..7e9ff10c42 --- /dev/null +++ b/AlbertTFG files/levelSetTestingAusetic.m @@ -0,0 +1,369 @@ +classdef levelSetTestingAusetic < handle + %UNTITLED Summary of this class goes here + % Detailed explanation goes here + + properties + nSubdomains + fileNameEIFEM + tolSameNode + meshDomain + boundaryConditions + bcApplier + LHS + mesh + Kel + U + RmeshFilename + end + + methods + function obj = levelSetTestingAusetic() + clc; close all; + obj.init(); + + mR = obj.createReferenceMesh(); + [mD,mSb,iC,lG,iCR, discMesh] = obj.createMeshDomain(mR); + mRcoarse = obj.createReferenceCoarseMesh(mR); + u = obj.createCoarseElasticProblem(mRcoarse); + u = u(:); + + %CoarsePlotSolution(u, discMesh, [], "Ausetic Fine test") + %EIFEMtesting.plotSolution(u, discMesh, 20, 1, 0, [], 0) + + + end + + function init(obj) + obj.nSubdomains = [4 1]; %nx ny + obj.fileNameEIFEM = "UL-Ausetic"; + obj.RmeshFilename = "DEF_Q4auxL_1.mat"; + obj.tolSameNode = 1e-14; + data = load(obj.fileNameEIFEM); + obj.Kel = data.L; + obj.U = data.U; + end + + function mS = createReferenceMesh(obj) + mS = obj.loadAuseticMesh(); + end + + function mesh = loadAuseticMesh(obj) + Data = load(obj.RmeshFilename); + s.coord = Data.EIFEoper.MESH.COOR; + s.connec = Data.EIFEoper.MESH.CN; + + mesh = Mesh.create(s); + + end + + function mS = createStructuredMesh(obj) + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + bgMesh = Mesh.create(s); + + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + mS = uMesh.createInnerMesh(); + end + + function levelSet = createLevelSetFunction(~,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = 0.1; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function [mD,mSb,iC,lG,iCR, discMesh] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR, discMesh] = m.create(); + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = cat(2,dirichletFun, dir); + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.fValues = fvalues; + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + minx = min(obj.meshDomain.coord(:,1)); + maxx = max(obj.meshDomain.coord(:,1)); + %miny = min(obj.meshDomain.coord(:,2)); + maxy = max(obj.meshDomain.coord(:,2)); + tolBound = 1e-8; + isLeft = @(coor) (abs(coor(:,1) - minx) < tolBound); + isRight = @(coor) (abs(coor(:,1) - maxx) < tolBound); + %isBottom = @(coor) (abs(coor(:,2) - miny) < tolBound); + isTop = @(coor) (abs(coor(:,2) - maxy) < tolBound); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor)| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + + PL.domain = @(coor) isTop(coor); + PL.direction = 2; + PL.value = -0.1; + % PL.domain = @(coor) isRight(coor); + % PL.direction = [1]; + % PL.value = [0.1]; + end + + function createBCapplier(obj) + s.mesh = obj.meshDomain; + s.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + function [LHSr,RHSr,lhs] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs,LHSr] = obj.computeStiffnessMatrix(); + RHSr = obj.computeForces(lhs,u); + end + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(~,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function [LHS,LHSr] = computeStiffnessMatrix(obj, dispFun) + + K = repmat(obj.Kel,[1,1, obj.mesh.nelem]); + + trial = dispFun; + test = trial; + s.fun = dispFun; + assembler = AssemblerFun(s); + LHS = assembler.assemble(K, test, trial); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + end + + function RHS = computeForces(obj,stiffness,u) + s.type = 'Elastic'; + s.scale = 'MACRO'; + s.dim.ndofs = u.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.mesh; + RHSint = RHSIntegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + R = RHSint.computeReactions(stiffness); + RHS = rhs+R; + RHS = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + end + + + function cMesh = createReferenceCoarseMesh(~,mR) + xmax = max(mR.coord(:,1)); + xmin = min(mR.coord(:,1)); + ymax = max(mR.coord(:,2)); + ymin = min(mR.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; + + % xmax = max(mR.coord(:,1)); + % xmin = min(mR.coord(:,1)); + % ymax = max(mR.coord(:,2)); + % ymin = min(mR.coord(:,2)); + % coord(1,1) = xmin; + % coord(1,2) = (ymin+ymax)/2; + % coord(2,1) = (xmax+xmin)/2; + % coord(2,2) = ymin; + % coord(3,1) = xmax; + % coord(3,2) = (ymin+ymax)/2; + % coord(4,1) = (xmax+xmin)/2; + % coord(4,2) = ymax; + % + connec = [1 2 3 4]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function [u] = createCoarseElasticProblem(obj, mRcoarse) + bS = mRcoarse.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR, discMesh] = obj.createMeshDomain(mRcoarse); + obj.mesh = mD; + + + dispFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim,'P1'); + obj.boundaryConditions = createCoarseBoundaryConditions(obj); + obj.createBCapplier(); + [LHS,LHSr] = obj.computeStiffnessMatrix(dispFun); + + + + RHS = obj.computeForces(LHS, dispFun); + + uRed = LHSr\RHS; + uCoarse = obj.bcApplier.reducedToFullVectorDirichlet(uRed); + %CoarsePlotSolution(uCoarse, mD, [], "Ausetic Coarse test") + %EIFEMtesting.plotSolution(uCoarse, mD, 1, 2, 0, [], 0) + + + u = obj.reconstructSolution(uCoarse, dispFun); + + % for i = 1:obj.nSubdomains(1) + % EIFEMtesting.plotSolution(u(:,i), mSb{i}, 1, i, 0, [], 0) + % + % + % end + + + + end + + function [lhs,RHSr,LHSr] = coarseElasticProblem(obj) + + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs, LHSr] = obj.computeStiffnessMatrix(obj.meshDomain,u,material); + RHSr = obj.computeForces(lhs,u); + + end + + function u = reconstructSolution(obj, uCoarse, dispFun) + nElem = obj.mesh.nelem; + dofConec = dispFun.getDofConnec(); + for ielem = 1:nElem + uCelem = uCoarse(dofConec(ielem,:)); + u(:,ielem) = obj.U*uCelem; + end + + end + + function bc = createCoarseBoundaryConditions(obj) + + % v = zeros(8,1); + % v(obj.nodeDirection) = 1; + % nRes = [1 1 2 2 3 3 4 4]*v; + % assignMatrix = [2 1 0 0 0 0 0 0 + % 0 0 2 1 0 0 0 0 + % 0 0 0 0 2 1 0 0 + % 0 0 0 0 0 0 2 1 + % 1 2 1 2 1 2 1 2]; + % + % vSimp = assignMatrix*v; + % dirs = cell(5,1); + % [dirs{:,1}] = deal([1, 2]); + % [dirs{nRes}] = deal(vSimp(nRes)); + % [dirs{end}] = deal(vSimp(end)); + + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + + left = @(coor) abs(coor(:,1)-xMin) <= tol; + right = @(coor) abs(coor(:,1)-xMax) <= tol; + % corner3 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMax)<= tol; + % corner4 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMax)<= tol; + + sDir{1}.domain = @(coor) left(coor); + sDir{1}.direction = [1,2]; + sDir{1}.value = 0; + % sDir{1}.ndim = 3; + + % sDir{2}.domain = @(coor) corner2(coor); + % sDir{2}.direction = [1,2]; + % sDir{2}.value = 0; + % + % sDir{3}.domain = @(coor) corner3(coor); + % sDir{3}.direction = [1,2]; + % sDir{3}.value = 0; + % + % sDir{4}.domain = @(coor) corner4(coor); + % sDir{4}.direction = [1,2]; + % sDir{4}.value = 0; + + % sDir{5}.domain = @(coor) corner1(coor); + % sDir{5}.direction = 1; + % sDir{5}.value = 1; + + + % isForce = @(coor) (abs(coor(:,1) - xMin) < 1e-10); + + + sPL{1}.domain = @(coor) right(coor); + sPL{1}.direction = 2; + sPL{1}.value = 1; + %sPL{1}.ndim = 3; + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = cat(2, dirichletFun, dir); + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = cat(2, pointloadFun, pl); + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + + end +end diff --git a/AlbertTFG files/levelSetTesting_Albert.m b/AlbertTFG files/levelSetTesting_Albert.m new file mode 100644 index 0000000000..21fe2d70d7 --- /dev/null +++ b/AlbertTFG files/levelSetTesting_Albert.m @@ -0,0 +1,355 @@ +classdef levelSetTesting_Albert < handle + %UNTITLED Summary of this class goes here + % Detailed explanation goes here + + properties + nSubdomains + rSubdomains + mSubdomains + fileNameEIFEM + tolSameNode + meshDomain + boundaryConditions + bcApplier + LHS + mesh + Kel + U + end + + methods + function obj = levelSetTesting_Albert() + clc; close all; + obj.init(); + + mR = obj.createReferenceMesh(); + [mD,mSb,iC,lG,iCR, discMesh] = obj.createMeshDomain(mR); + mRcoarse = obj.createReferenceCoarseMesh(mR); + u = obj.createCoarseElasticProblem(mRcoarse); + u = u(:); + CoarsePlotSolution(u, discMesh, [], "r0_1 Fine test") + %EIFEMtesting.plotSolution(u, discMesh, 20, 1, 0, [], 0) + + + end + + function init(obj) + obj.nSubdomains = [2 1]; %nx ny + obj.rSubdomains = [0.3 0.1]; + obj.mSubdomains = []; + obj.tolSameNode = 1e-14; + obj.loadFilenames; + end + + function loadFilenames(obj) + obj.Kel = {}; + obj.U = {}; + + stringNames = ["UL_r0_3-20x20", "UL_r0_1-20x20"]; + for i = 1:size(obj.nSubdomains,2) + data = load(stringNames(1,i)); + obj.Kel = cat(1, obj.Kel, {data.L}); + obj.U = cat(1, obj.U, {data.U}); + + end + end + + function mS = createReferenceMesh(obj) + mS = obj.createStructuredMesh(); + end + + function mS = createStructuredMesh(obj) + %UnitMesh better + x1 = linspace(-1,1,20); + x2 = linspace(-1,1,20); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + bgMesh = Mesh.create(s); + mS = bgMesh; + + % for i = 1:size(obj.nSubdomains,2) + % lvSet = obj.createLevelSetFunction(bgMesh, i); + % uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + % ms = uMesh.createInnerMesh(); + % mS = cat(2, mS, ms); + % end + + + end + + function levelSet = createLevelSetFunction(obj,bgMesh, i) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = obj.rSubdomains(1, i); + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function [mD,mSb,iC,lG,iCR, discMesh] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.rsubdomains = obj.rSubdomains; + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + %m = MeshCreatorFromRVE_Albert(s); + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR, discMesh] = m.create(); + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = cat(2,dirichletFun, dir); + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.fValues = fvalues; + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + minx = min(obj.meshDomain.coord(:,1)); + maxx = max(obj.meshDomain.coord(:,1)); + %miny = min(obj.meshDomain.coord(:,2)); + maxy = max(obj.meshDomain.coord(:,2)); + tolBound = 1e-8; + isLeft = @(coor) (abs(coor(:,1) - minx) < tolBound); + isRight = @(coor) (abs(coor(:,1) - maxx) < tolBound); + %isBottom = @(coor) (abs(coor(:,2) - miny) < tolBound); + isTop = @(coor) (abs(coor(:,2) - maxy) < tolBound); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor)| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + + PL.domain = @(coor) isTop(coor); + PL.direction = 2; + PL.value = -0.1; + % PL.domain = @(coor) isRight(coor); + % PL.direction = [1]; + % PL.value = [0.1]; + end + + function createBCapplier(obj) + s.mesh = obj.meshDomain; + s.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + + function [LHS,LHSr] = computeStiffnessMatrix(obj, dispFun) + + K = repmat(obj.Kel,[1,1, obj.mesh.nelem]); + + trial = dispFun; + test = trial; + s.fun = dispFun; + assembler = AssemblerFun(s); + LHS = assembler.assemble(K, test, trial); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + end + + function RHS = computeForces(obj,stiffness,u) + s.type = 'Elastic'; + s.scale = 'MACRO'; + s.dim.ndofs = u.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.mesh; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + R = RHSint.computeReactions(stiffness); + RHS = rhs+R; + RHS = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + end + + + function cMesh = createReferenceCoarseMesh(~,mR) + xmax = max(mR.coord(:,1)); + xmin = min(mR.coord(:,1)); + ymax = max(mR.coord(:,2)); + ymin = min(mR.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; + + % xmax = max(mR.coord(:,1)); + % xmin = min(mR.coord(:,1)); + % ymax = max(mR.coord(:,2)); + % ymin = min(mR.coord(:,2)); + % coord(1,1) = xmin; + % coord(1,2) = (ymin+ymax)/2; + % coord(2,1) = (xmax+xmin)/2; + % coord(2,2) = ymin; + % coord(3,1) = xmax; + % coord(3,2) = (ymin+ymax)/2; + % coord(4,1) = (xmax+xmin)/2; + % coord(4,2) = ymax; + % + connec = [1 2 3 4]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function [u] = createCoarseElasticProblem(obj, mRcoarse) + bS = mRcoarse.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR, discMesh] = obj.createMeshDomain(mRcoarse); + obj.mesh = mD; + + + dispFun = LagrangianFunction.create(obj.mesh, obj.mesh.ndim,'P1'); + obj.boundaryConditions = createCoarseBoundaryConditions(obj); + obj.createBCapplier(); + [LHS,LHSr] = obj.computeStiffnessMatrix(dispFun); + + + + RHS = obj.computeForces(LHS, dispFun) + + uRed = LHSr\RHS; + uCoarse = obj.bcApplier.reducedToFullVectorDirichlet(uRed); + CoarsePlotSolution(uCoarse, mD, [], "r0_1 Coarse test") + %EIFEMtesting.plotSolution(uCoarse, mD, 1, 2, 0, [], 0) + + + u = obj.reconstructSolution(uCoarse, dispFun); + + % for i = 1:obj.nSubdomains(1) + % EIFEMtesting.plotSolution(u(:,i), mSb{i}, 1, i, 0, [], 0) + % + % + % end + + + + end + + function [lhs,RHSr,LHSr] = coarseElasticProblem(obj) + + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs, LHSr] = obj.computeStiffnessMatrix(obj.meshDomain,u,material); + RHSr = obj.computeForces(lhs,u); + + end + + function u = reconstructSolution(obj, uCoarse, dispFun) + nElem = obj.mesh.nelem; + dofConec = dispFun.getDofConnec(); + for ielem = 1:nElem + uCelem = uCoarse(dofConec(ielem,:)); + u(:,ielem) = obj.U*uCelem; + end + + end + + function bc = createCoarseBoundaryConditions(obj) + + % v = zeros(8,1); + % v(obj.nodeDirection) = 1; + % nRes = [1 1 2 2 3 3 4 4]*v; + % assignMatrix = [2 1 0 0 0 0 0 0 + % 0 0 2 1 0 0 0 0 + % 0 0 0 0 2 1 0 0 + % 0 0 0 0 0 0 2 1 + % 1 2 1 2 1 2 1 2]; + % + % vSimp = assignMatrix*v; + % dirs = cell(5,1); + % [dirs{:,1}] = deal([1, 2]); + % [dirs{nRes}] = deal(vSimp(nRes)); + % [dirs{end}] = deal(vSimp(end)); + + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + + left = @(coor) abs(coor(:,1)-xMin) <= tol; + right = @(coor) abs(coor(:,1)-xMax) <= tol; + % corner3 = @(coor) abs(coor(:,1)-xMax) <= tol & abs(coor(:,2)-yMax)<= tol; + % corner4 = @(coor) abs(coor(:,1)-xMin) <= tol & abs(coor(:,2)-yMax)<= tol; + + sDir{1}.domain = @(coor) left(coor); + sDir{1}.direction = [1,2]; + sDir{1}.value = 0; + % sDir{1}.ndim = 3; + + % sDir{2}.domain = @(coor) corner2(coor); + % sDir{2}.direction = [1,2]; + % sDir{2}.value = 0; + % + % sDir{3}.domain = @(coor) corner3(coor); + % sDir{3}.direction = [1,2]; + % sDir{3}.value = 0; + % + % sDir{4}.domain = @(coor) corner4(coor); + % sDir{4}.direction = [1,2]; + % sDir{4}.value = 0; + + % sDir{5}.domain = @(coor) corner1(coor); + % sDir{5}.direction = 1; + % sDir{5}.value = 1; + + + % isForce = @(coor) (abs(coor(:,1) - xMin) < 1e-10); + + + sPL{1}.domain = @(coor) right(coor); + sPL{1}.direction = 2; + sPL{1}.value = 1; + %sPL{1}.ndim = 3; + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = cat(2, dirichletFun, dir); + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = cat(2, pointloadFun, pl); + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + + end +end diff --git a/AlbertTFG files/mat files/Full/Old/UL_r0_1-20x20.mat b/AlbertTFG files/mat files/Full/Old/UL_r0_1-20x20.mat new file mode 100644 index 0000000000..646c775d27 Binary files /dev/null and b/AlbertTFG files/mat files/Full/Old/UL_r0_1-20x20.mat differ diff --git a/AlbertTFG files/mat files/Full/Old/UL_r0_2-20x20.mat b/AlbertTFG files/mat files/Full/Old/UL_r0_2-20x20.mat new file mode 100644 index 0000000000..f4c981036f Binary files /dev/null and b/AlbertTFG files/mat 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a/AlbertTFG files/oldCoarsePlotSolution.m b/AlbertTFG files/oldCoarsePlotSolution.m new file mode 100644 index 0000000000..1cc9761a8c --- /dev/null +++ b/AlbertTFG files/oldCoarsePlotSolution.m @@ -0,0 +1,241 @@ +classdef CoarsePlotSolution < handle + %UNTITLED Summary of this class goes here + % Detailed explanation goes here + + properties + mesh + u + originalBCApplier + outputFileName + r + centroids + end + + methods + function obj = CoarsePlotSolution(u, mesh, bcApplier,outputFileName, r, centroids) + + if isempty(r) + obj.plot(u, mesh, bcApplier,outputFileName); + else + obj.init(u, mesh, bcApplier,outputFileName,r, centroids); + obj.makeHole(bcApplier,outputFileName); + + end + end + + % function makeHole(~, x, mesh, bcApplier,outputFileName,r,holeCoords) + % x = obj.createXHole(x, mesh, r, holeCoords); + % mesh = createHole(mesh, r, holeCoords); + % obj.plot(x, mesh, bcApplier,outputFileName); + % + % end + + + + end + + methods (Access = private) %%% treure Static + + function makeHole(obj, bcApplier,outputFileName) + + %uH = obj.createUHole(); + meshH = obj.createHole(); + obj.plot(uH, meshH, bcApplier, outputFileName); + + end + + function init(obj, u, mesh, bcApplier,outputFileName,r,centroids) + obj.mesh = mesh; + obj.u = u; + obj.originalBCApplier = bcApplier; + obj.outputFileName = outputFileName; + obj.r = r; + obj.centroids = centroids; + + end + + function U = createUHole(obj) + U = obj.u; + + for i = obj.mesh.nnodes:-1:1 + if sqrt( (obj.mesh.coord(i,1) )^2 + (obj.mesh.coord(i,2))^2 ) <= obj.r + U(2*i-1:2*i) = []; + end + + end + + end + + function meshH = createHole(obj) + % mR = obj.createReferenceMesh(); + + + % Initialize the sum as the zero function + + u = obj.u; + mesh = obj.mesh; + lsCircleInclusion = []; + + % Loop through each handle and build the sum + for i = 1:length(obj.r) + radius = obj.r(i); + + x0 = obj.centroids(i,1); + y0 = obj.centroids(i,2); + + gPar.type = 'Circle'; + gPar.radius = radius; + gPar.xCoorCenter = x0; + gPar.yCoorCenter = y0; + + g = GeometricalFunction(gPar); + + phiFun = g.computeLevelSetFunction(obj.mesh); + lsCircle = phiFun.fValues; + lsCircleInclusion = cat(1, lsCircleInclusion, -lsCircle); + clear("g", "gPar"); + end + + + sUm.backgroundMesh = mesh; + sUm.boundaryMesh = mesh.createBoundaryMesh; + uMesh = UnfittedMesh(sUm); + uMesh.compute(lsCircleInclusion); + + uMeshFun = uMesh.obtainFunctionAtUnfittedMesh(u); + + + + % f_prev = f_sum; + f = @(x) (x(1,:,:)-x0).^2+(x(2,:,:)-y0).^2-radius^2; + s.fHandle = f; + s.ndimf = 1; + s.mesh = mesh; + aFun = AnalyticalFunction(s); + ls = aFun.project('P1'); + + lsCircle = ls.fValues; + lsCircleInclusion = -lsCircle; + + sUm.backgroundMesh = obj.mesh; + sUm.boundaryMesh = obj.mesh.createBoundaryMesh; + uMesh = UnfittedMesh(sUm); + uMesh.compute(lsCircleInclusion); + + u = uMeshFun.innerMeshFunction; + mesh = uMesh.innerMesh; + %f = @(x) (sqrt((x(1,:,:)-x0).^2+(x(2,:,:)-y0).^2)=radius) ; % Save previous sum to avoid recursion + % f_sum = @(x) f_prev(x) + f(x); % Add new handle + + + s.fHandle = f_sum; + s.ndimf = 1; + s.mesh = obj.mesh; + aFun = AnalyticalFunction(s); + ls = aFun.project('P1'); + + for i = 1:size(obj.r,2) + gPar.radius = obj.r(i); + gPar.xCoorCenter = obj.centroids(i,1); + gPar.yCoorCenter = obj.centroids(i,2); + g = GeometricalFunction(gPar); + end + lvSet = obj.createLevelSetFunction(mR); + uMesh = obj.computeUnfittedMesh(mR,lvSet); + meshH = uMesh.createInnerMesh(); + + + end + + function newMesh = createReferenceMesh(obj) + xmin = -1; + xmax = 1; + ymin = -1; + ymax = 1; + + n1 = numel(find(obj.mesh.coord(:,1)==xmin)); + n2 = n1;%numel(find(obj.mesh.coord(:,2)==ymin)); + + + %UnitMesh better + x1 = linspace(xmin,xmax,n1); + x2 = linspace(ymin,ymax,n2); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + newMesh = Mesh.create(s); + end + + function levelSet = createLevelSetFunction(obj,mR) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0; + sLS.yCoorCenter = 0; + sLS.radius = obj.r; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(mR); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(obj, mR,levelSet) + sUm.backgroundMesh = mR; + sUm.boundaryMesh = mR.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function plot(~, x, mesh, bcApplier,outputFileName) + row = 0; + col = 0; + iter = 0; + flag = 0; + + if ~isempty(bcApplier) + x = bcApplier.reducedToFullVectorDirichlet(x); + end + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end + % + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = 'P1'; + xF = LagrangianFunction(s); + % xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + + fileName = ['domain',num2str(row),num2str(col),'_',num2str(iter)]; + + s = dir(pwd); + s = struct2table(s); + idx = startsWith(s.name, fileName); + s = s(idx,:); + oldFileName = s.name; + newFileName = replace(oldFileName, fileName, outputFileName); + fclose('all'); + movefile(oldFileName{1}, newFileName{1}) + + end + + + end +end \ No newline at end of file diff --git a/AlbertTFG files/paraview plot files/01 01 01 1st iter.vtu b/AlbertTFG files/paraview plot files/01 01 01 1st iter.vtu new file mode 100644 index 0000000000..4645829bcf --- /dev/null +++ b/AlbertTFG files/paraview plot files/01 01 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39993 39996 39999 40002 40005 40008 40011 40014 40017 40020 40023 40026 40029 40032 40035 40038 40041 40044 40047 40050 40053 40056 40059 40062 40065 40068 40071 40074 40077 40080 40083 40086 40089 40092 40095 40098 40101 40104 40107 40110 40113 40116 40119 40122 40125 40128 40131 40134 40137 40140 40143 40146 40149 40152 40155 40158 40161 40164 40167 40170 40173 40176 40179 40182 40185 40188 40191 40194 40197 40200 40203 40206 40209 40212 40215 40218 40221 40224 40227 40230 40233 40236 40239 40242 40245 40248 40251 40254 40257 40260 40263 40266 40269 40272 40275 40278 40281 40284 40287 40290 40293 40296 40299 40302 40305 40308 40311 40314 40317 40320 40323 40326 40329 40332 40335 40338 40341 40344 40347 40350 40353 40356 40359 40362 40365 40368 40371 40374 40377 40380 40383 40386 40389 40392 40395 40398 40401 40404 40407 40410 40413 40416 40419 40422 40425 40428 40431 40434 40437 40440 40443 40446 40449 40452 40455 40458 40461 40464 40467 40470 40473 40476 40479 40482 40485 40488 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39975 39978 39981 39984 39987 39990 39993 39996 39999 40002 40005 40008 40011 40014 40017 40020 40023 40026 40029 40032 40035 40038 40041 40044 40047 40050 40053 40056 40059 40062 40065 40068 40071 40074 40077 40080 40083 40086 40089 40092 40095 40098 40101 40104 40107 40110 40113 40116 40119 40122 40125 40128 40131 40134 40137 40140 40143 40146 40149 40152 40155 40158 40161 40164 40167 40170 40173 40176 40179 40182 40185 40188 40191 40194 40197 40200 40203 40206 40209 40212 40215 40218 40221 40224 40227 40230 40233 40236 40239 40242 40245 40248 40251 40254 40257 40260 40263 40266 40269 40272 40275 40278 40281 40284 40287 40290 40293 40296 40299 40302 40305 40308 40311 40314 40317 40320 40323 40326 40329 40332 40335 40338 40341 40344 40347 40350 40353 40356 40359 40362 40365 40368 40371 40374 40377 40380 40383 40386 40389 40392 40395 40398 40401 40404 40407 40410 40413 40416 40419 40422 40425 40428 40431 40434 40437 40440 40443 40446 40449 40452 40455 40458 40461 40464 40467 40470 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b/AlbertTFG files/testingLevelSet.m new file mode 100644 index 0000000000..aaefa93934 --- /dev/null +++ b/AlbertTFG files/testingLevelSet.m @@ -0,0 +1,508 @@ +classdef testingLevelSet < handle + + properties (Access = public) + + end + properties (Access = private) + meshDomain + boundaryConditions + bcApplier + LHS + RHS + fileNameEIFEM + tolSameNode + + end + + + properties (Access = private) + nSubdomains + end + + methods (Access = public) + + function obj = testingLevelSet() + close all + obj.init() + + mR = obj.createReferenceMesh(); + bS = mR.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR] = obj.createMeshDomain(mR); + obj.meshDomain = mD; + [bC,dir] = obj.createBoundaryConditions(obj.meshDomain); + obj.boundaryConditions = bC; + obj.createBCapplier() + + [LHS,RHS,LHSf] = obj.createElasticProblem(); + obj.LHS = LHSf; + % LHS = 0.5*(LHS+LHS'); + + LHSf = @(x) LHS*x; + RHSf = RHS; + Usol = LHS\RHS; + Ufull = obj.bcApplier.reducedToFullVectorDirichlet(Usol); + %obj.plotSolution(Ufull,obj.meshDomain,1,1,0,obj.bcApplier,0) + + + Mid = @(r) r; + Meifem = obj.createEIFEMPreconditioner(mR,dir,iC,lG,bS,iCR); + Milu = obj.createILUpreconditioner(LHS); + MgaussSeidel = obj.createGaussSeidelpreconditioner(LHS); + MJacobi = obj.createJacobipreconditioner(LHS); + Mmodal = obj.createModalpreconditioner(LHS); + % MdirNeu = obj.createDirichletNeumannPreconditioner(mR,dir,iC,lG,bS,obj.LHS,mSb); + + MiluCG = @(r,iter) Preconditioner.InexactCG(r,LHSf,Milu,RHSf); + + tol = 1e-8; + tic + x0 = zeros(size(RHSf)); +% [uCG,residualCG,errCG,errAnormCG] = PCG.solve(LHSf,RHSf,x0,Mid,tol,Usol,obj.meshDomain,obj.bcApplier); + toc + % [uCG,residualCG,errCG,errAnormCG] = RichardsonSolver.solve(LHSf,RHSf,x0,P,tol,0.1,Usol); + + tol = 1e-8; + + %Mmult = MdirNeu; + x0 = zeros(size(RHSf)); + r = RHSf - LHSf(x0); + Mmult = @(r) Preconditioner.multiplePrec(r,MiluCG,Meifem,MiluCG,LHSf,RHSf,obj.meshDomain,obj.bcApplier); + zmult = Mmult(r); + zfull = obj.bcApplier.reducedToFullVectorDirichlet(zmult); + %obj.plotSolution(zfull,obj.meshDomain,0,0,2,obj.bcApplier,0) + + zeifem = Meifem(r); + zfull = obj.bcApplier.reducedToFullVectorDirichlet(zeifem); + %obj.plotSolution(zfull,obj.meshDomain,0,0,1,obj.bcApplier,0) + % x0 = zmult; + tic + % tau = @(r,A) 1; + [uPCG,residualPCG,errPCG,errAnormPCG] = PCG.solve(LHSf,RHSf,x0,Mmult,tol,Usol,obj.meshDomain,obj.bcApplier); + % [uCG,residualPCG,errPCG,errAnormPCG] = RichardsonSolver.solve(LHSf,RHSf,x0,Mmult,tol,tau,Usol); + toc + + figure + plot(residualPCG,'linewidth',2) + hold on + plot(residualCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend({'CG + ILU-EIFEM-ILU','CG'},'FontSize',12) + xlabel('Iteration') + ylabel('Residual') + + figure + plot(errPCG,'linewidth',2) + hold on + plot(errCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('||error||_{L2}') + + figure + plot(errAnormPCG,'linewidth',2) + hold on + plot(errAnormCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('Energy norm') + + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [2 1]; %nx ny + %obj.fileNameEIFEM = 'DEF_Q4auxL_1.mat'; + obj.fileNameEIFEM = 'DEF_Q4porL_1.mat'; + obj.tolSameNode = 1e-14; + end + + function [mD,mSb,iC,lG,iCR] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR] = m.create(); + end + + + function mS = createReferenceMesh(obj) + mS = obj.createStructuredMesh(); + % mS = obj.createMeshFromGid(); + % mS = obj.createEIFEMreferenceMesh(); + end + + + function mS = createMeshFromGid(obj) + filename = 'lattice_ex1'; + a.fileName = filename; + femD = FemDataContainer(a); + mS = femD.mesh; + end + + function mS = createStructuredMesh(obj) + %UnitMesh better + x1 = linspace(0,1,50); + x2 = linspace(0,1,50); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + bgMesh = Mesh.create(s); + + + % bgMesh = obj.createReferenceMesh(); + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + mS = uMesh.createInnerMesh(); + + + + % % Generate coordinates + % x1 = linspace(0,1,2); + % x2 = linspace(0,1,2); + % % Create the grid + % [xv,yv] = meshgrid(x1,x2); + % % Triangulate the mesh to obtain coordinates and connectivities + % [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + % + % s.coord = coord(:,1:2); + % s.connec = F; + % mS = Mesh.create(s); + end + + + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0.5; + sLS.yCoorCenter = 0.5; + sLS.radius = 0.2; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + + function mS = createEIFEMreferenceMesh(obj) + filename = obj.fileNameEIFEM; + load(filename); + s.coord = EIFEoper.MESH.COOR; + isMin = s.coord==min(s.coord); + isMax = s.coord==max(s.coord); + + s.connec = EIFEoper.MESH.CN; + mS = Mesh.create(s); + end + + function mCoarse = createCoarseMesh(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.createReferenceCoarseMesh(mR); + s.tolSameNode = obj.tolSameNode; + mRVECoarse = MeshCreatorFromRVE(s); + [mCoarse,~,~] = mRVECoarse.create(); + end + + + + function cMesh = createReferenceCoarseMesh(obj,mR) + xmax = max(mR.coord(:,1)); + xmin = min(mR.coord(:,1)); + ymax = max(mR.coord(:,2)); + ymin = min(mR.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; + % coord(1,1) = xmax; + % coord(1,2) = ymin; + % coord(2,1) = xmax; + % coord(2,2) = ymax; + % coord(3,1) = xmin; + % coord(3,2) = ymax; + % coord(4,1) = xmin; + % coord(4,2) = ymin; + connec = [1 2 3 4]; + connec = [2 3 4 1]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function createBCapplier(obj) + s.mesh = obj.meshDomain; + s.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + minx = min(obj.meshDomain.coord(:,1)); + maxx = max(obj.meshDomain.coord(:,1)); + miny = min(obj.meshDomain.coord(:,2)); + maxy = max(obj.meshDomain.coord(:,2)); + tolBound = 1e-8; + isLeft = @(coor) (abs(coor(:,1) - minx) < tolBound); + isRight = @(coor) (abs(coor(:,1) - maxx) < tolBound); + isBottom = @(coor) (abs(coor(:,2) - miny) < tolBound); + isTop = @(coor) (abs(coor(:,2) - maxy) < tolBound); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor)| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + + PL.domain = @(coor) isTop(coor); + PL.direction = [2]; + PL.value = [-0.1]; + % PL.domain = @(coor) isRight(coor); + % PL.direction = [1]; + % PL.value = [0.1]; + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = [dirichletFun, dir]; + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.fValues = fvalues; + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + + function [LHSr,RHSr,lhs] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs,LHSr] = obj.computeStiffnessMatrix(obj.meshDomain,u,material); + RHSr = obj.computeForces(lhs,u); + end + + + function [LHS,LHSr] = computeStiffnessMatrix(obj,mesh,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.test = dispFun; + s.trial = dispFun; + s.material = mat; + s.quadratureOrder = 2; + lhs = LHSintegrator.create(s); + LHS = lhs.compute(); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + end + + function RHS = computeForces(obj,stiffness,u) + s.type = 'Elastic'; + s.scale = 'MACRO'; + s.dim.ndofs = u.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.meshDomain; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + R = RHSint.computeReactions(stiffness); + RHS = rhs+R; + RHS = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + end + + function Meifem = createEIFEMPreconditioner(obj,mR,dir,iC,lG,bS,iCR) + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + EIFEMfilename = obj.fileNameEIFEM; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + filename = EIFEMfilename; + s.RVE = TrainedRVE(filename); + s.mesh = obj.createCoarseMesh(mR); + s.DirCond = dir; + s.nSubdomains = obj.nSubdomains; + eifem = EIFEM(s); + + + ss.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + ss.EIFEMsolver = eifem; + ss.bcApplier = obj.bcApplier; + ss.type = 'EIFEM'; + eP = Preconditioner.create(ss); + Meifem = @(r) eP.apply(r); + end + + function Mdn = createDirichletNeumannPreconditioner(obj,mR,dir,iC,lG,bS,lhs,mSb,iCR) + s.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + s.DirCond = dir; + s.bcApplier = obj.bcApplier; + s.LHS = lhs; + s.subdomainMesh = mSb; + s.meshDomain = obj.meshDomain; + s.type = 'DirichletNeumann'; + M = Preconditioner.create(s); + Mdn = @(r) M.apply(r); + end + + function d = createDomainDecompositionDofManager(obj,iC,lG,bS,mR,iCR) + s.nSubdomains = obj.nSubdomains; + s.interfaceConnec = iC; + s.interfaceConnecReshaped = iCR; + s.locGlobConnec = lG; + s.nBoundaryNodes = bS{1}.mesh.nnodes; + s.nReferenceNodes = mR.nnodes; + s.nNodes = obj.meshDomain.nnodes; + s.nDimf = obj.meshDomain.ndim; + d = DomainDecompositionDofManager(s); + end + + function Milu = createILUpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'ILU'; + M = Preconditioner.create(s); + Milu = @(r) M.apply(r); + end + + function MgaussSeidel = createGaussSeidelpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'GaussSeidel'; + M = Preconditioner.create(s); + MgaussSeidel = @(r) M.apply(r); + end + + function Mjacobi = createJacobipreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'Jacobi'; + M = Preconditioner.create(s); + Mjacobi = @(r) M.apply(r); + end + + function Mmodal = createModalpreconditioner(obj,LHS) + s.LHS = LHS; + s.nBasis = 8; + s.type = 'MODAL'; + M = Preconditioner.create(s); + Mmodal = @(r) M.apply(r); + end + + +% function plotSolution(obj,x,mesh,row,col,iter,flag) +% if nargin <7 +% flag =0; +% end +% % xFull = bc.reducedToFullVector(x); +% if size(x,2)==1 +% s.fValues = reshape(x,2,[])'; +% else +% s.fValues = x; +% end +% % +% +% s.mesh = mesh; +% s.fValues(:,end+1) = 0; +% s.ndimf = 2; +% s.order = 'P1'; +% xF = LagrangianFunction(s); +% % xF.plot(); +% if flag == 0 +% xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 1 +% xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 2 +% xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 3 +% xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 4 +% xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% end +% fclose('all'); +% end + + + + end + + methods (Static, Access = public) + + + function J = computeTotalEnergy(x,A,b) + J = 0.5*x'*A(x)-b'*x; + end + + function plotSolution(x,mesh,row,col,iter,flag) + % x = bcApplier.reducedToFullVectorDirichlet(x); + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end + % + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = 'P1'; + xF = LagrangianFunction(s); + % xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + end + +end diff --git a/BNN2.m b/BNN2.m new file mode 100644 index 0000000000..7127755b48 --- /dev/null +++ b/BNN2.m @@ -0,0 +1,698 @@ +classdef BNN2 < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + meshDomain + boundaryConditions + material + meshReference + interfaceMeshReference + meshSubDomain + interfaceConnec + nSubdomains + ninterfaces + interfaceMeshSubDomain + globalMeshConnecSubDomain + interfaceMeshConnecSubDomain + subDomainContact + cornerNodes + subdomainBoundary + quad + interfaceDof + interfaceDom + dofInterfaceDomain + interiorDof + boundaryDof + hExt + + displacementFun + LHS + RHS + scale + theta + Fext + weight + interfaceNeumanDof + interfaceDirichletDof + end + + methods (Access = public) + + function obj = BNN2() + close all + obj.init(); + obj.createReferenceMesh(); + + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.meshReference; + m = MeshCreatorFromRVE(s); + [obj.meshDomain,obj.meshSubDomain,obj.interfaceConnec,obj.subdomainBoundary] = m.create(); + + + obj.createDisplacementFun(); + + [obj.interfaceDof,obj.interfaceDom] = obj.computeLocalInterfaceDof(); + obj.dofInterfaceDomain = obj.assingInterfaceDof2Domain(); + [obj.interiorDof,obj.boundaryDof] = obj.assingInteriorBoundaryDof(); +% obj.interiorDof = obj.assingInteriorDof(); + obj.computeSubdomainLHS(); + coarseSpace = obj.computeCoarseSpace(); + obj.plotfields(coarseSpace) + + obj.createSubdomainBoundaryConditions(); + obj.interfaceNeumanDof = obj.identifyNeumanInterfaceDof(); + obj.interfaceDirichletDof = obj.identifyDirichletInterfaceDof(); + + obj.NeumannNeumannSolver(); + + + % obj.solveDomainProblem(); + + + + end + + function solveDomainProblem(obj) + s.mesh = obj.meshDomain; + s.bc = obj.boundaryConditions; + s.material = obj.material; + s.type = 'ELASTIC'; + s.scale = 'MACRO'; + s.dim = '2D'; + s.solverTyp = 'ITERATIVE'; + s.iterativeSolverTyp = 'PCG'; + s.preconditionerType = 'EIFEM'; + s.tol = 1e-6; + + fem = FEM.create(s); + fem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [3 1]; %nx ny + obj.scale = 'MACRO'; + obj.weight = 0.5; + obj.theta = 0.1; + end + + function createReferenceMesh(obj) + % filename = 'lattice_ex1'; + % a.fileName = filename; + % femD = FemDataContainer(a); + % mS = femD.mesh; + % bS = mS.createBoundaryMesh(); + % Generate coordinates + x1 = linspace(0,1,5); + x2 = linspace(0,1,2); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + + s.coord = coord(:,1:2); + s.connec = F; + mS = Mesh(s); + bS = mS.createBoundaryMesh(); + + obj.meshReference = mS; + obj.interfaceMeshReference = bS; + obj.ninterfaces = length(bS); + end + + function createDomainMaterial(obj,i) + % ngaus = 1; + % m = obj.meshSubDomain{i}; + obj.material{i} = obj.createMaterial(i); + end + + function BC = createRawBoundaryConditionsDirichlet(obj,i) + + dirichletBc{1}.boundaryId=[1,2]; + dirichletBc{1}.dof{1}=[1,2]; + dirichletBc{1}.dof{2}=[1,2]; + dirichletBc{1}.value{1}=[0,0]; + dirichletBc{1}.value{2}=[0,0]; + + newmanBc{1}=[]; + % newmanBc{1}.boundaryId=4; + % newmanBc{1}.dof{1}=[2]; + % newmanBc{1}.value{1}=[-1]; + + dirichletBc{2}.boundaryId=[1,2]; + dirichletBc{2}.dof{1}=[1,2]; + dirichletBc{2}.dof{2}=[1,2]; + dirichletBc{2}.value{1}=[0,0]; + dirichletBc{2}.value{2}=[0,0]; + + newmanBc{2}=[]; + % newmanBc{2}.boundaryId=4; + % newmanBc{2}.dof{1}=[2]; + % newmanBc{2}.value{1}=[-1]; + + dirichletBc{3}.boundaryId=[1]; + dirichletBc{3}.dof{1}=[1,2]; + % dirichletBc{3}.dof{2}=[1,2]; + dirichletBc{3}.value{1}=[0,0]; + % dirichletBc{3}.value{2}=[0,0]; + + % newmanBc{2}=[]; + newmanBc{3}.boundaryId=2; + newmanBc{3}.dof{1}=[2]; + newmanBc{3}.value{1}=[-1]; + + bM = obj.meshSubDomain{i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{i},newmanBc{i}); + BC.dirichlet=dirichlet; + BC.pointload=pointload; + + end + + function BC = createRawBoundaryConditionsNeumann(obj,i) + + dirichletBc{1}.boundaryId=[1]; + dirichletBc{1}.dof{1}=[1,2]; + dirichletBc{1}.value{1}=[0,0]; + + % newmanBc{1}=[]; + newmanBc{1}.boundaryId=[2]; + % newmanBc{1}.dof{1}=[2]; + % newmanBc{1}.value{1}=[-1]; + newmanBc{1}.dof{1}=[1,2]; + newmanBc{1}.value{1}=[0,0]; + + dirichletBc{2}=[]; + + newmanBc{2}.boundaryId=[1,2]; + newmanBc{2}.dof{1}=[1,2]; + newmanBc{2}.value{1}=[0,0]; + newmanBc{2}.dof{2}=[1,2]; + newmanBc{2}.value{2}=[0,0]; + + dirichletBc{3}.boundaryId=[2]; + dirichletBc{3}.dof{1}=[1,2]; + % dirichletBc{3}.dof{2}=[1,2]; + dirichletBc{3}.value{1}=[0,0]; + % dirichletBc{3}.value{2}=[0,0]; + + newmanBc{3}.boundaryId=[1]; + % newmanBc{2}.dof{1}=[2]; + % newmanBc{2}.value{1}=[-1]; + newmanBc{3}.dof{1}=[1,2]; + newmanBc{3}.value{1}=[0,0]; + + + + bM = obj.meshSubDomain{i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{i},newmanBc{i}); + BC.dirichlet=dirichlet; + BC.pointload=pointload; + + end + + function [dirichlet,pointload] = createBc(obj,boundaryMesh,dirchletBc,newmanBc) + if ~isempty(dirchletBc) + dirichlet = obj.createBoundaryCondition(boundaryMesh,dirchletBc); + else + dirichlet=[]; + end + if ~isempty(newmanBc) + pointload = obj.createBoundaryCondition(boundaryMesh,newmanBc); + else + pointload=[]; + end + end + + function cond = createBoundaryCondition(obj,bM,condition) + nbound = length(condition.boundaryId); + cond = zeros(1,3); + for ibound=1:nbound + % ncond = length(condition.dof(nbound,:)); + ncond = length(condition.dof{ibound}); + nodeId= reshape(unique(bM{condition.boundaryId(ibound)}.globalConnec),[],1); + nbd = length(nodeId); + condition.value{ibound} = condition.value{ibound}/nbd; + for icond=1:ncond + bdcond= [nodeId, repmat(condition.dof{ibound}(icond),[nbd,1]), repmat(condition.value{ibound}(icond),[nbd,1])]; + cond=[cond;bdcond]; + end + end + cond = cond(2:end,:); + end + + function bc = createBoundaryConditions(obj,mesh,bcV,i) + dim = obj.getFunDims(obj.displacementFun{i}); + bcV.ndimf = dim.ndimf; + bcV.ndofs = dim.ndofs; + s.mesh = mesh; + s.scale = 'MACRO'; + s.bc = {bcV}; + s.ndofs = dim.ndofs; + bc = BoundaryConditions(s); + bc.compute(); + end + + function createSubdomainBoundaryConditions(obj) + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsDirichlet(idom); + obj.boundaryConditions.dirichletStep{idom} = obj.createBoundaryConditions(obj.meshSubDomain{idom},rawBC,idom); + end + + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsNeumann(idom); + obj.boundaryConditions.neumannStep{idom} = obj.createBoundaryConditions(obj.meshSubDomain{idom},rawBC,idom); + end + end + + + function material = createMaterial(obj,i) + I = ones(obj.meshSubDomain{i}.nelem,obj.quad{i}.ngaus); + s.ptype = 'ELASTIC'; + s.pdim = '2D'; + s.nelem = obj.meshSubDomain{i}.nelem; + s.mesh = obj.meshSubDomain{i}; + s.kappa = .9107*I; + s.mu = .3446*I; + mat = Material.create(s); + mat.compute(s); + material = mat; + end + + function createDisplacementFun(obj) + nx = obj.nSubdomains(1); + ny = obj.nSubdomains(2); + for i=1:ny + for j=1:nx + obj.displacementFun{i,j} = P1Function.create(obj.meshSubDomain{i,j}, obj.meshSubDomain{i,j}.ndim); + end + end + + end + + function dim = getFunDims(obj,disp) + d.ndimf = disp.ndimf; + d.nnodes = size(disp.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.meshDomain.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function computeStiffnessMatrix(obj,i) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = obj.meshSubDomain{i}; + s.fun = obj.displacementFun{i}; + s.material = obj.material{i}; + lhs = LHSintegrator.create(s); + obj.LHS{i} = lhs.compute(); + end + + function [Fext,RHS] = computeForces(obj,boundaryConditions,material,mesh,disp,LHS) + s.type = 'Elastic'; + s.scale = obj.scale; + s.dim = obj.getFunDims(disp); + s.BC = boundaryConditions; + s.mesh = mesh; + s.material = material; + % s.globalConnec = obj.displacementFun{i}.connec; + s.globalConnec = mesh.connec; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + Fext = rhs; + R = RHSint.computeReactions(LHS); + % obj.variables.fext = rhs + R; + RHS = rhs+R; + end + + function computeSubdomainLHS(obj) + for idom=1:obj.nSubdomains(1) + obj.quad{idom} = Quadrature.set(obj.meshSubDomain{idom}.type); + obj.quad{idom}.computeQuadrature('QUADRATIC'); + obj.createDomainMaterial(idom); + obj.computeStiffnessMatrix(idom); + end + end + + function coarseSpace = computeCoarseSpace(obj) + RBbasis = obj.computeRigidBodyBasis(); + RBbasis = obj.scaleInterfaceValues(RBbasis); + obj.hExt = obj.computeHarmonicExtension(); + coarseSpace = obj.computeCoarseSpaceBasis(RBbasis); + end + + function hExt = computeHarmonicExtension(obj) + for idom = 1:obj.nSubdomains(1) + bdDOF = obj.boundaryDof{idom}; + interiorDof = obj.interiorDof{idom}; + Kii = obj.LHS{idom}(interiorDof,interiorDof); + KiL = obj.LHS{idom}(interiorDof,bdDOF); + Kii = full(Kii); + KiL = full(KiL); + hExt{idom} = -(Kii\KiL); + end + end + + function RBbasis = computeRigidBodyBasis(obj) + ndom = obj.nSubdomains(1); + fvalues=[1 0 0;0 1 0; 0 0 1]; + nbasis = size(fvalues,2); + for idom = 1:ndom + ss.mesh=obj.meshSubDomain{idom}; + maxCord = max(ss.mesh.coord); + minCord = min(ss.mesh.coord); + ss.refPoint= (maxCord + minCord)*0.5; + for ibasis = 1:nbasis + ss.fvalues = fvalues(ibasis,:); + a=RigidBodyFunction(ss); + p1FUNC = a.project('P1'); + bValues = p1FUNC.fValues; + bValues = reshape(bValues',1,[])'; + RBbasis{idom}(:,ibasis)=bValues; + end + end + end + + function values = scaleInterfaceValues(obj,val) + values = val; + nint = size(obj.interfaceDof,3); + ndom = size(obj.interfaceDof,2); + w = [obj.weight,1- obj.weight]; + for iint=1:nint + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + dof = obj.interfaceDof(:,idom,iint); + nfields = size(values{dom},2); + for ifield = 1:nfields + values{dom}(dof,ifield) = values{dom}(dof,ifield)*w(idom); + end + end + end + end + + function cBasis = computeCoarseSpaceBasis(obj,basis) + for idom = 1:obj.nSubdomains(1) + epsilon = obj.hExt{idom}; + nbasis = size(basis{idom},2); + boundaryDof = obj.boundaryDof{idom}; + interiorDof = obj.interiorDof{idom}; + for ibasis = 1:nbasis + boundaryDisp = basis{idom}(boundaryDof,ibasis); + interiorDisp = epsilon*boundaryDisp; + cBasis{idom}(interiorDof,ibasis) = interiorDisp; + cBasis{idom}(boundaryDof,ibasis) = boundaryDisp; + end + end + end + + function [interfaceDof,interfaceDom] = computeLocalInterfaceDof(obj) + intConec = reshape(obj.interfaceConnec,obj.interfaceMeshReference{1}.mesh.nnodes,2,[]); + intConec = permute(intConec,[1 3 2]); + nint = size(intConec,3); + globaldof=0; + dim = obj.getFunDims(obj.displacementFun{1}); + for iint=1:nint + ndom = size(intConec,2); %length(intConec(1,:,iint)); + for idom = 1:ndom + dofaux=0; + nodesI = intConec(:,idom,iint); + dom = ceil(intConec(1,idom,iint)/obj.meshReference.nnodes); + globaldof = (dom-1)*dim.ndofs; + for iunkn=1:dim.ndimf + DOF = dim.ndimf*(nodesI - 1) + iunkn; + DOF = DOF-globaldof; + dofaux= [dofaux; DOF]; + end + interfaceDof(:,idom,iint) = dofaux(2:end); + interfaceDom(iint,idom) = dom; + % globaldof = globaldof + (iint*(idom-1)+iint)*dim.ndofs; + end + % interfaceDof(:,iint) = dofaux(2:end); + % globaldof = globaldof + dim.ndofs; + end + end + + function dofInterfaceDomain = assingInterfaceDof2Domain(obj) + nint = size(obj.interfaceDof,3); + ndom = size(obj.interfaceDof,2); + dofInterfaceDomain = cell(1,obj.nSubdomains(1)); + for iint=1:nint + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + dof = obj.interfaceDof(:,idom,iint); + if isempty(dofInterfaceDomain{dom}) + dofInterfaceDomain{dom} = dof; + else + dofInterfaceDomain{dom} = [dofInterfaceDomain{dom};dof]; + end + end + end + + end + + function [interiorDof,boundaryDOF] = assingInteriorBoundaryDof(obj) + for idom=1:obj.nSubdomains(1) + ndof = obj.displacementFun{idom}.nDofs; + ndimf = obj.displacementFun{idom}.ndimf; + boundaryDOF{idom} = obj.assignBoundaryDOF(obj.subdomainBoundary{idom},ndimf); + alldofs = [1:1:ndof]'; + interiorDof{idom} = setdiff(alldofs,boundaryDOF{idom}); + end + end + + function bdDof = assignBoundaryDOF(obj,subdomainBd,ndimf) + nbound = size(subdomainBd); + bdDof = 0; + for ibound = 1:nbound + nodes = reshape(unique(subdomainBd{ibound}.globalConnec),[],1); + for iunkn=1:ndimf + bdDof = [bdDof ;ndimf*(nodes - 1) + iunkn]; + end + end + bdDof = unique(bdDof(2:end)); + end + + function ind = identifyNeumanInterfaceDof(obj) + for idom=1:obj.nSubdomains(1) + bN = obj.boundaryConditions.neumannStep{idom}; + for idof = 1: length(obj.interfaceDof(:,idom)) + ind(idof,idom) = find(bN.neumann == obj.interfaceDof(idof,idom)); + end + end + end + + function ind = identifyDirichletInterfaceDof(obj) + for idom=1:obj.nSubdomains(1) + bD = obj.boundaryConditions.dirichletStep{idom}; + for idof = 1: length(obj.interfaceDof(:,idom)) + ind(idof,idom) = find(bD.dirichlet == obj.interfaceDof(idof,idom)); + end + end + end + + + function NeumannNeumannSolver(obj) + tol=1e-8; + e=1; + iter=1; + uInt = zeros(size(obj.interfaceDof,1),1); + while e(iter)>tol + + [uD,RHS] = obj.solveFEM(obj.boundaryConditions.dirichletStep); + R = obj.computeInterfaceResidual(uD,RHS); + obj.updateNeumanValues(R); + + [uN,~] = obj.solveFEM(obj.boundaryConditions.neumannStep); + uInt_new = obj.updateDirichletStepBC(uN); + + iter=iter+1; + e(iter) = norm(uInt_new-uInt); + uInt = uInt_new; + + % [uD,RHS] = obj.dirichletStep(); + + % for idom = 1:obj.nSubdomains(1) + % uplot = reshape(obj.displacementFun{idom}.fValues',1,[])'; + % uplot = obj.boundaryConditions.neumannStep{idom}.reducedToFullVector(uN{idom}); + % obj.plotSolution(uplot,obj.meshSubDomain{idom}, idom,iter) + % end + % iter=iter+1; + + % uN = obj.neumannStep(); + + + % for idom = 1:obj.nSubdomains(1) + % uplot = obj.boundaryConditions.neumannStep{idom}.reducedToFullVector(uN{idom}); + % uplot = uN{idom}; + % obj.plotSolution(uplot,obj.meshSubDomain{idom}, idom,iter) + % end + + % iter=iter+1; + % e(iter) = norm(uInt_new-uInt); + % uInt = uInt_new; + + % iter=iter+1; + % end + end + end + + function [uD,RHS] = dirichletStep(obj) + for idom = 1:obj.nSubdomains(1) + bD = obj.boundaryConditions.dirichletStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + disp = obj.displacementFun{idom}; + mat = obj.material{idom}; + [Fext,RHS{idom}] = obj.computeForces(bD,mat,mesh,disp,lhs); + Kred = bD.fullToReducedMatrix(obj.LHS{idom}); + Fred = bD.fullToReducedVector(RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bD.reducedToFullVector(u{idom}); + uD{idom} = reshape(u{idom},2,[])'; + end + end + + function u = neumannStep(obj) + for idom = 1:obj.nSubdomains(1) + bN = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + mat = obj.material{idom}; + disp = obj.displacementFun{idom}; + [obj.Fext,obj.RHS{idom}] = obj.computeForces(bN,mat,mesh,disp,lhs); + Kred = bN.fullToReducedMatrix(obj.LHS{idom}); + Fred = bN.fullToReducedVector(obj.RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bN.reducedToFullVector(u{idom}); + end + end + + function [u,RHS] = solveFEM(obj,bc) + for idom = 1:obj.nSubdomains(1) + % bc = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + mat = obj.material{idom}; + disp = obj.displacementFun{idom}; + bc_dom = bc{idom}; + [obj.Fext,RHS{idom}] = obj.computeForces(bc_dom,mat,mesh,disp,lhs); + Kred = bc_dom.fullToReducedMatrix(obj.LHS{idom}); + Fred = bc_dom.fullToReducedVector(RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bc_dom.reducedToFullVector(u{idom}); + u{idom} = reshape(u{idom},2,[])'; + end + end + + function R2 = computeInterfaceResidual(obj,u,RHS) + + w = [obj.weight,1-obj.weight]; + % w = [1,1]; + R=zeros(size(obj.interfaceDof,1),1); + R2=zeros(size(obj.interfaceDof,1),1); + for idom=1:obj.nSubdomains(1) + unodal = reshape(u{idom}',1,[])'; + interfaceDOF = obj.interfaceDof(:,idom); + R2 = R2 + w(idom)*(RHS{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal ... + + obj.LHS{idom}(interfaceDOF,interfaceDOF)*unodal(interfaceDOF)); + % R = R + w(idom)*(obj.Fext{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal); + % aaa = norm(R2-R); + end + end + + function updateNeumanValues(obj,R) + for idom=1:obj.nSubdomains(1) + ind = obj.interfaceNeumanDof(:,idom); + obj.boundaryConditions.neumannStep{idom}.neumann_values(ind) = R; + end + end + + + function uIntNew = updateDirichletStepBC(obj,u) + uInt = obj.computeInterfaceDisp(u); + uIntNew = obj.updateDirichletValues(uInt); + end + + function uInt = computeInterfaceDisp(obj,u) + w = [obj.weight,1- obj.weight]; + % w = [1,1]; + uInt=zeros(size(obj.interfaceDof,1),1); + for idom=1:obj.nSubdomains(1) + unodal = reshape(u{idom}',1,[])'; + interfaceDOF = obj.interfaceDof(:,idom); + uInt = uInt + w(idom)*unodal(interfaceDOF); + end + end + + function uIntNew = updateDirichletValues(obj,u) + for idom=1:obj.nSubdomains(1) + bD{idom} = obj.boundaryConditions.dirichletStep{idom}; + ind = obj.interfaceDirichletDof(:,idom); + bD{idom}.dirichlet_values(ind) = bD{idom}.dirichlet_values(ind) + obj.theta*u; + + end + obj.boundaryConditions.dirichletStep = bD; + uIntNew = bD{end}.dirichlet_values(obj.interfaceDirichletDof(:,end)); + end + + function plotSolution(obj,x,mesh,domain,iter) + % xFull = bc.reducedToFullVector(x); + s.fValues = reshape(x,2,[])'; + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + xF = P1Function(s); + % xF.plot(); + xF.print(['domain',num2str(domain),'_',num2str(iter)],'Paraview') + fclose('all'); + end + + function print(obj, filename, software,funNames,fun,mesh) + if nargin == 2; software = 'GiD'; end +% [fun, funNames] = obj.getFunsToPlot(); + a.mesh = mesh; + a.filename = filename; + a.fun = fun; + a.funNames = funNames; + + a.type = software; + pst = FunctionPrinter.create(a); + pst.print(); + end + + function [fun, funNames] = getFunsToPlot(obj) + fun = {obj.uFun, obj.strainFun, obj.stressFun}; + funNames = {'displacement', 'strain', 'stress'}; + end + + function plotfields(obj,basis) + software = 'Paraview'; + funNames = {'translationX', 'translationY', 'rotation'}; + for idom=1:obj.nSubdomains(1) + nbasis = size(basis{idom},2); + for ibasis = 1:nbasis + values = basis{idom}(:,ibasis); + s.fValues = reshape(values,2,[])'; + s.mesh = obj.meshSubDomain{idom}; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + fun{ibasis} = P1Function(s); + end +% a.fun=fun; + mesh=obj.meshSubDomain{idom}; + filename = ['domain',num2str(idom)]; + obj.print(filename,software,funNames,fun,mesh) + end + end + + end +end diff --git a/BalancingNeumannNeumann.m b/BalancingNeumannNeumann.m new file mode 100644 index 0000000000..14f1a777f3 --- /dev/null +++ b/BalancingNeumannNeumann.m @@ -0,0 +1,783 @@ +classdef BalancingNeumannNeumann < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + meshDomain + boundaryConditions + material + meshReference + interfaceMeshReference + meshSubDomain + interfaceConnec + nSubdomains + ninterfaces + interfaceMeshSubDomain + globalMeshConnecSubDomain + interfaceMeshConnecSubDomain + subDomainContact + cornerNodes + quad + interfaceDof + interfaceDom + dofInterfaceDomain + interiorDof + hExt + locGlobConnec + localGlobalDofConnec + coarseSpace + domainFun + domLHS + + displacementFun + LHS + RHS + scale + theta + Fext + weight + interfaceNeumanDof + interfaceDirichletDof + end + + methods (Access = public) + + function obj = BalancingNeumannNeumann() + close all + obj.init(); + obj.createReferenceMesh(); + + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.meshReference; + m = MeshCreatorFromRVE(s); + [obj.meshDomain,obj.meshSubDomain,obj.interfaceConnec,~,obj.locGlobConnec] = m.create(); + + obj.domainFun = P1Function.create(obj.meshDomain, obj.meshDomain.ndim); + obj.createSubdomainDisplacementFun(); + [obj.interfaceDof,obj.interfaceDom] = obj.computeLocalInterfaceDof(); + obj.dofInterfaceDomain = obj.assingInterfaceDof2Domain(); + obj.interiorDof = obj.assingInteriorDof(); + obj.computeSubdomainLHS(); + + obj.localGlobalDofConnec = obj.createlocalGlobalDofConnec(); + + obj.computeDomainLHS(); + + coarseSpace = obj.computeCoarseSpace(); + obj.plotfields(coarseSpace) + + + obj.createSubdomainBoundaryConditions(); + + obj.interfaceNeumanDof = obj.identifyNeumanInterfaceDof(); + obj.interfaceDirichletDof = obj.identifyDirichletInterfaceDof(); + + obj.NeumannNeumannSolver(); + + + % obj.solveDomainProblem(); + + + + end + + function solveDomainProblem(obj) + s.mesh = obj.meshDomain; + s.bc = obj.boundaryConditions; + s.material = obj.material; + s.type = 'ELASTIC'; + s.scale = 'MACRO'; + s.dim = '2D'; + s.solverTyp = 'ITERATIVE'; + s.iterativeSolverTyp = 'PCG'; + s.preconditionerType = 'EIFEM'; + s.tol = 1e-6; + + fem = FEM.create(s); + fem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [3 1]; %nx ny + obj.scale = 'MACRO'; + obj.weight = 0.5; + obj.theta = 0.1; + end + + function createReferenceMesh(obj) + % filename = 'lattice_ex1'; + % a.fileName = filename; + % femD = FemDataContainer(a); + % mS = femD.mesh; + % bS = mS.createBoundaryMesh(); + % Generate coordinates + x1 = linspace(0,1,2); + x2 = linspace(0,0.5,2); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + + s.coord = coord(:,1:2); + s.connec = F; + mS = Mesh(s); + bS = mS.createBoundaryMesh(); + + obj.meshReference = mS; + obj.interfaceMeshReference = bS; + obj.ninterfaces = length(bS); + end + + function createDomainMaterial(obj,i) + % ngaus = 1; + % m = obj.meshSubDomain{i}; + obj.material{i} = obj.createMaterial(i); + end + + function BC = createRawBoundaryConditionsDirichlet(obj,i) + + dirichletBc{1}.boundaryId=[1,2]; + dirichletBc{1}.dof{1}=[1,2]; + dirichletBc{1}.dof{2}=[1,2]; + dirichletBc{1}.value{1}=[0,0]; + dirichletBc{1}.value{2}=[0,0]; + + newmanBc{1}=[]; + % newmanBc{1}.boundaryId=4; + % newmanBc{1}.dof{1}=[2]; + % newmanBc{1}.value{1}=[-1]; + + dirichletBc{2}.boundaryId=[1,2]; + dirichletBc{2}.dof{1}=[1,2]; + dirichletBc{2}.dof{2}=[1,2]; + dirichletBc{2}.value{1}=[0,0]; + dirichletBc{2}.value{2}=[0,0]; + + newmanBc{2}=[]; + % newmanBc{2}.boundaryId=4; + % newmanBc{2}.dof{1}=[2]; + % newmanBc{2}.value{1}=[-1]; + + dirichletBc{3}.boundaryId=[1]; + dirichletBc{3}.dof{1}=[1,2]; + % dirichletBc{3}.dof{2}=[1,2]; + dirichletBc{3}.value{1}=[0,0]; + % dirichletBc{3}.value{2}=[0,0]; + + % newmanBc{2}=[]; + newmanBc{3}.boundaryId=2; + newmanBc{3}.dof{1}=[2]; + newmanBc{3}.value{1}=[-1]; + + bM = obj.meshSubDomain{i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{i},newmanBc{i}); + BC.dirichlet=dirichlet; + BC.pointload=pointload; + + end + + function BC = createRawBoundaryConditionsNeumann(obj,i) + + dirichletBc{1}.boundaryId=[1]; + dirichletBc{1}.dof{1}=[1,2]; + dirichletBc{1}.value{1}=[0,0]; + + % newmanBc{1}=[]; + newmanBc{1}.boundaryId=[2]; + % newmanBc{1}.dof{1}=[2]; + % newmanBc{1}.value{1}=[-1]; + newmanBc{1}.dof{1}=[1,2]; + newmanBc{1}.value{1}=[0,0]; + + dirichletBc{2}=[]; + + newmanBc{2}.boundaryId=[1,2]; + newmanBc{2}.dof{1}=[1,2]; + newmanBc{2}.value{1}=[0,0]; + newmanBc{2}.dof{2}=[1,2]; + newmanBc{2}.value{2}=[0,0]; + + dirichletBc{3}.boundaryId=[2]; + dirichletBc{3}.dof{1}=[1,2]; + % dirichletBc{3}.dof{2}=[1,2]; + dirichletBc{3}.value{1}=[0,0]; + % dirichletBc{3}.value{2}=[0,0]; + + newmanBc{3}.boundaryId=[1]; + % newmanBc{2}.dof{1}=[2]; + % newmanBc{2}.value{1}=[-1]; + newmanBc{3}.dof{1}=[1,2]; + newmanBc{3}.value{1}=[0,0]; + + + + bM = obj.meshSubDomain{i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{i},newmanBc{i}); + BC.dirichlet=dirichlet; + BC.pointload=pointload; + + end + + function [dirichlet,pointload] = createBc(obj,boundaryMesh,dirchletBc,newmanBc) + if ~isempty(dirchletBc) + dirichlet = obj.createBoundaryCondition(boundaryMesh,dirchletBc); + else + dirichlet=[]; + end + if ~isempty(newmanBc) + pointload = obj.createBoundaryCondition(boundaryMesh,newmanBc); + else + pointload=[]; + end + end + + function cond = createBoundaryCondition(obj,bM,condition) + nbound = length(condition.boundaryId); + cond = zeros(1,3); + for ibound=1:nbound + % ncond = length(condition.dof(nbound,:)); + ncond = length(condition.dof{ibound}); + nodeId= reshape(unique(bM{condition.boundaryId(ibound)}.globalConnec),[],1); + nbd = length(nodeId); + condition.value{ibound} = condition.value{ibound}/nbd; + for icond=1:ncond + bdcond= [nodeId, repmat(condition.dof{ibound}(icond),[nbd,1]), repmat(condition.value{ibound}(icond),[nbd,1])]; + cond=[cond;bdcond]; + end + end + cond = cond(2:end,:); + end + + function bc = createBoundaryConditions(obj,mesh,bcV,i) + dim = obj.getFunDims(obj.displacementFun{i}); + bcV.ndimf = dim.ndimf; + bcV.ndofs = dim.ndofs; + s.mesh = mesh; + s.scale = 'MACRO'; + s.bc = {bcV}; + s.ndofs = dim.ndofs; + bc = BoundaryConditions(s); + bc.compute(); + end + + function createSubdomainBoundaryConditions(obj) + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsDirichlet(idom); + obj.boundaryConditions.dirichletStep{idom} = obj.createBoundaryConditions(obj.meshSubDomain{idom},rawBC,idom); + end + + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsNeumann(idom); + obj.boundaryConditions.neumannStep{idom} = obj.createBoundaryConditions(obj.meshSubDomain{idom},rawBC,idom); + end + end + + + function material = createMaterial(obj,i) + I = ones(obj.meshSubDomain{i}.nelem,obj.quad{i}.ngaus); + s.ptype = 'ELASTIC'; + s.pdim = '2D'; + s.nelem = obj.meshSubDomain{i}.nelem; + s.mesh = obj.meshSubDomain{i}; + s.kappa = .9107*I; + s.mu = .3446*I; + mat = Material.create(s); + mat.compute(s); + material = mat; + end + + function createSubdomainDisplacementFun(obj) + nx = obj.nSubdomains(1); + ny = obj.nSubdomains(2); + for i=1:ny + for j=1:nx + obj.displacementFun{i,j} = P1Function.create(obj.meshSubDomain{i,j}, obj.meshSubDomain{i,j}.ndim); + end + end + + end + + function createDdomainDisplacementFun(obj) + obj.displacementFun= P1Function.create(obj.meshDomain, obj.meshDomain.ndim); + end + + function dim = getFunDims(obj,disp) + d.ndimf = disp.ndimf; + d.nnodes = size(disp.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.meshDomain.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function computeStiffnessMatrix(obj,i) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = obj.meshSubDomain{i}; + s.fun = obj.displacementFun{i}; + s.material = obj.material{i}; + lhs = LHSintegrator.create(s); + obj.LHS{i} = lhs.compute(); + end + + function [Fext,RHS] = computeForces(obj,boundaryConditions,material,mesh,disp,LHS) + s.type = 'Elastic'; + s.scale = obj.scale; + s.dim = obj.getFunDims(disp); + s.BC = boundaryConditions; + s.mesh = mesh; + s.material = material; + % s.globalConnec = obj.displacementFun{i}.connec; + s.globalConnec = mesh.connec; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + Fext = rhs; + R = RHSint.computeReactions(LHS); + % obj.variables.fext = rhs + R; + RHS = rhs+R; + end + + function computeSubdomainLHS(obj) + for idom=1:obj.nSubdomains(1) + obj.quad{idom} = Quadrature.set(obj.meshSubDomain{idom}.type); + obj.quad{idom}.computeQuadrature('QUADRATIC'); + obj.createDomainMaterial(idom); + obj.computeStiffnessMatrix(idom); + end + end + + function computeDomainLHS(obj) + ndimf = obj.domainFun.ndimf; + Gmat = zeros(obj.meshDomain.nnodes*ndimf); + for idom = 1:obj.nSubdomains(1) + locMat = obj.LHS{idom}; + connec = obj.localGlobalDofConnec(:,:,idom); + mat = obj.local2globalMatrix(locMat,connec); + Gmat = Gmat+mat; + end + obj.domLHS = Gmat; + end + + + + function hExt = computeHarmonicExtension(obj) + for idom = 1:obj.nSubdomains(1) + ndof = obj.displacementFun{idom}.nDofs; + interfaceDof = obj.dofInterfaceDomain{idom}; + interiorDof = obj.interiorDof{idom}; + Kii = obj.LHS{idom}(interiorDof,interiorDof); + KiL = obj.LHS{idom}(interiorDof,interfaceDof); + hExt{idom} = -Kii\KiL; + end + end + + function coarseSpace = computeCoarseSpace(obj) + RBbasisl = obj.computeRigidBodyBasis(); + RBbasisl = obj.scaleInterfaceValues(RBbasisl); + RBbasisg = obj.createGlobalBasis(RBbasisl); + +% obj.hExt = obj.computeHarmonicExtension(); + coarseSpace = obj.computeCoarseSpaceBasis2(RBbasisg); + obj.plotfields(RBbasisg) +% coarseSpace = obj.computeCoarseSpaceBasisNoHarmonic(RBbasisg); + end + + + function RBbasis = computeRigidBodyBasis(obj) + ndom = obj.nSubdomains(1); + fvalues=[1 0 0;0 1 0; 0 0 1]; + nbasis = size(fvalues,2); + for idom = 1:ndom + ss.mesh=obj.meshSubDomain{idom}; + maxCord = max(ss.mesh.coord); + minCord = min(ss.mesh.coord); + ss.refPoint= (maxCord + minCord)*0.5; + for ibasis = 1:nbasis + ss.fvalues = fvalues(ibasis,:); + a=RigidBodyFunction(ss); + p1FUNC = a.project('P1'); + bValues = p1FUNC.fValues; + bValues = reshape(bValues',1,[])'; + RBbasis{idom}(:,ibasis)=bValues; + end + end + end + + function values = scaleInterfaceValues(obj,val) + values = val; + nint = size(obj.interfaceDof,3); + ndom = size(obj.interfaceDof,2); + w = [obj.weight,1- obj.weight]; + for iint=1:nint + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + dof = obj.interfaceDof(:,idom,iint); + nfields = size(values{dom},2); + for ifield = 1:nfields + values{dom}(dof,ifield) = values{dom}(dof,ifield)*w(idom); + end + end + end + end + + function Gvec = local2global(obj,Lvec,locGlobConnec) + ndimf = obj.displacementFun{1}.ndimf; + Gvec = zeros(obj.meshDomain.nnodes*ndimf,1); + Gvec(locGlobConnec(:,1)) = Lvec(locGlobConnec(:,2)); + end + + function Lvec = global2local(obj,Gvec,locGlobConnec) + ndimf = obj.displacementFun{1}.ndimf; + Lvec = zeros(obj.meshDomain.nnodes*ndimf); + Lvec(locGlobConnec(:,2)) = Gvec(locGlobConnec(:,1)); + end + + function globBasis = createGlobalBasis(obj,locBasis) + nbasis = size(locBasis{1},2); + for idom = 1:obj.nSubdomains(1) + for ibasis = 1:nbasis + locVec = locBasis{idom}(:,ibasis); + connec = obj.localGlobalDofConnec(:,:,idom); + globVec = obj.local2global(locVec,connec); + globBasis{idom}(:,ibasis) = globVec; + end + end + end + + function Gmat = local2globalMatrix(obj,Lmat,locGlobConnec) + ndimf = obj.domainFun.ndimf; + Gmat = zeros(obj.meshDomain.nnodes*ndimf); + Gmat(locGlobConnec(:,1),locGlobConnec(:,1)) = Lmat(locGlobConnec(:,2),locGlobConnec(:,2)); + end + + function cBasis = computeCoarseSpaceBasis(obj,basis) + for idom = 1:obj.nSubdomains(1) + epsilon = obj.hExt{idom}; + nbasis = size(basis{idom},2); + interfaceDof = obj.dofInterfaceDomain{idom}; + interiorDof = obj.interiorDof{idom}; + for ibasis = 1:nbasis + interfaceDisp = basis{idom}(interfaceDof,ibasis); + interiorDisp = epsilon*interfaceDisp; + cBasis{idom}(interiorDof,ibasis) = interiorDisp; + cBasis{idom}(interfaceDof,ibasis) = interfaceDisp; + end + end + end + + function cBasis = computeCoarseSpaceBasis2(obj,basis) + alldof = 1:1:obj.domainFun.nDofs; + + for idom = 1:obj.nSubdomains(1) + dofR = obj.localGlobalDofConnec(:,1,idom); + dofF = setdiff(alldof,dofR); + Kff = obj.domLHS(dofF,dofF); + Kfr = obj.domLHS(dofF,dofR); + nbasis = size(basis{idom},2); + for ibasis = 1:nbasis + disp = basis{idom}(dofR,ibasis); + F = Kfr*disp; + u = Kff\F; + cBasis{idom}(dofF,ibasis) = u; + cBasis{idom}(dofR,ibasis) = disp; + end + end + end + + function cBasis = computeCoarseSpaceBasisNoHarmonic(obj,basis) + for idom = 1:obj.nSubdomains(1) + nbasis = size(basis{idom},2); + for ibasis = 1:nbasis + cBasis{idom}(:,ibasis) = obj.domLHS*basis{idom}(:,ibasis); + end + end +% cBasis = obj.domLHS*basis; + end + + function [interfaceDof,interfaceDom] = computeLocalInterfaceDof(obj) + intConec = reshape(obj.interfaceConnec,obj.interfaceMeshReference{1}.mesh.nnodes,2,[]); + intConec = permute(intConec,[1 3 2]); + nint = size(intConec,3); + globaldof=0; + dim = obj.getFunDims(obj.displacementFun{1}); + for iint=1:nint + ndom = size(intConec,2); %length(intConec(1,:,iint)); + for idom = 1:ndom + dofaux=0; + nodesI = intConec(:,idom,iint); + dom = ceil(intConec(1,idom,iint)/obj.meshReference.nnodes); + globaldof = (dom-1)*dim.ndofs; + for iunkn=1:dim.ndimf + DOF = dim.ndimf*(nodesI - 1) + iunkn; + DOF = DOF-globaldof; + dofaux= [dofaux; DOF]; + end + interfaceDof(:,idom,iint) = dofaux(2:end); + interfaceDom(iint,idom) = dom; + % globaldof = globaldof + (iint*(idom-1)+iint)*dim.ndofs; + end + % interfaceDof(:,iint) = dofaux(2:end); + % globaldof = globaldof + dim.ndofs; + end + end + + function dofInterfaceDomain = assingInterfaceDof2Domain(obj) + nint = size(obj.interfaceDof,3); + ndom = size(obj.interfaceDof,2); + dofInterfaceDomain = cell(1,obj.nSubdomains(1)); + for iint=1:nint + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + dof = obj.interfaceDof(:,idom,iint); + if isempty(dofInterfaceDomain{dom}) + dofInterfaceDomain{dom} = dof; + else + dofInterfaceDomain{dom} = [dofInterfaceDomain{dom};dof]; + end + end + end + + end + + function interiorDof = assingInteriorDof(obj) + for idom=1:obj.nSubdomains(1) + ndof = obj.displacementFun{idom}.nDofs; + dofs = 1:1:ndof; + interfaceDof = obj.dofInterfaceDomain{idom}; + interiorDof{idom} = setdiff(dofs,interfaceDof); + end + end + + function localGlobalDofConnec = createlocalGlobalDofConnec(obj) + ndimf = obj.displacementFun{1}.ndimf; + for idom = 1:obj.nSubdomains(1) + localGlobalDofConnecDom = zeros(1,2); + nodeG = obj.locGlobConnec(:,1,idom); + nodeL = obj.locGlobConnec(:,2,idom); + for iunkn = 1:ndimf + dofConec = [ndimf*(nodeG - 1) + iunkn , ndimf*(nodeL - 1) + iunkn] ; + localGlobalDofConnecDom = [localGlobalDofConnecDom;dofConec ]; + end + localGlobalDofConnec(:,:,idom) = localGlobalDofConnecDom(2:end,:); + end + end + + function ind = identifyNeumanInterfaceDof(obj) + for idom=1:obj.nSubdomains(1) + bN = obj.boundaryConditions.neumannStep{idom}; + for idof = 1: length(obj.interfaceDof(:,idom)) + ind(idof,idom) = find(bN.neumann == obj.interfaceDof(idof,idom)); + end + end + end + + function ind = identifyDirichletInterfaceDof(obj) + for idom=1:obj.nSubdomains(1) + bD = obj.boundaryConditions.dirichletStep{idom}; + for idof = 1: length(obj.interfaceDof(:,idom)) + ind(idof,idom) = find(bD.dirichlet == obj.interfaceDof(idof,idom)); + end + end + end + + + function NeumannNeumannSolver(obj) + tol=1e-8; + e=1; + iter=1; + uInt = zeros(size(obj.interfaceDof,1),1); + while e(iter)>tol + + [uD,RHS] = obj.solveFEM(obj.boundaryConditions.dirichletStep); + R = obj.computeInterfaceResidual(uD,RHS); + obj.updateNeumanValues(R); + + [uN,~] = obj.solveFEM(obj.boundaryConditions.neumannStep); + uInt_new = obj.updateDirichletStepBC(uN); + + iter=iter+1; + e(iter) = norm(uInt_new-uInt); + uInt = uInt_new; + + % [uD,RHS] = obj.dirichletStep(); + + % for idom = 1:obj.nSubdomains(1) + % uplot = reshape(obj.displacementFun{idom}.fValues',1,[])'; + % uplot = obj.boundaryConditions.neumannStep{idom}.reducedToFullVector(uN{idom}); + % obj.plotSolution(uplot,obj.meshSubDomain{idom}, idom,iter) + % end + % iter=iter+1; + + % uN = obj.neumannStep(); + + + % for idom = 1:obj.nSubdomains(1) + % uplot = obj.boundaryConditions.neumannStep{idom}.reducedToFullVector(uN{idom}); + % uplot = uN{idom}; + % obj.plotSolution(uplot,obj.meshSubDomain{idom}, idom,iter) + % end + + % iter=iter+1; + % e(iter) = norm(uInt_new-uInt); + % uInt = uInt_new; + + % iter=iter+1; + % end + end + end + + function [uD,RHS] = dirichletStep(obj) + for idom = 1:obj.nSubdomains(1) + bD = obj.boundaryConditions.dirichletStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + disp = obj.displacementFun{idom}; + mat = obj.material{idom}; + [Fext,RHS{idom}] = obj.computeForces(bD,mat,mesh,disp,lhs); + Kred = bD.fullToReducedMatrix(obj.LHS{idom}); + Fred = bD.fullToReducedVector(RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bD.reducedToFullVector(u{idom}); + uD{idom} = reshape(u{idom},2,[])'; + end + end + + function u = neumannStep(obj) + for idom = 1:obj.nSubdomains(1) + bN = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + mat = obj.material{idom}; + disp = obj.displacementFun{idom}; + [obj.Fext,obj.RHS{idom}] = obj.computeForces(bN,mat,mesh,disp,lhs); + Kred = bN.fullToReducedMatrix(obj.LHS{idom}); + Fred = bN.fullToReducedVector(obj.RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bN.reducedToFullVector(u{idom}); + end + end + + function [u,RHS] = solveFEM(obj,bc) + for idom = 1:obj.nSubdomains(1) + % bc = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + mat = obj.material{idom}; + disp = obj.displacementFun{idom}; + bc_dom = bc{idom}; + [obj.Fext,RHS{idom}] = obj.computeForces(bc_dom,mat,mesh,disp,lhs); + Kred = bc_dom.fullToReducedMatrix(obj.LHS{idom}); + Fred = bc_dom.fullToReducedVector(RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bc_dom.reducedToFullVector(u{idom}); + u{idom} = reshape(u{idom},2,[])'; + end + end + + function R2 = computeInterfaceResidual(obj,u,RHS) + + w = [obj.weight,1-obj.weight]; + % w = [1,1]; + R=zeros(size(obj.interfaceDof,1),1); + R2=zeros(size(obj.interfaceDof,1),1); + for idom=1:obj.nSubdomains(1) + unodal = reshape(u{idom}',1,[])'; + interfaceDOF = obj.interfaceDof(:,idom); + R2 = R2 + w(idom)*(RHS{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal ... + + obj.LHS{idom}(interfaceDOF,interfaceDOF)*unodal(interfaceDOF)); + % R = R + w(idom)*(obj.Fext{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal); + % aaa = norm(R2-R); + end + end + + function updateNeumanValues(obj,R) + for idom=1:obj.nSubdomains(1) + ind = obj.interfaceNeumanDof(:,idom); + obj.boundaryConditions.neumannStep{idom}.neumann_values(ind) = R; + end + end + + + function uIntNew = updateDirichletStepBC(obj,u) + uInt = obj.computeInterfaceDisp(u); + uIntNew = obj.updateDirichletValues(uInt); + end + + function uInt = computeInterfaceDisp(obj,u) + w = [obj.weight,1- obj.weight]; + % w = [1,1]; + uInt=zeros(size(obj.interfaceDof,1),1); + for idom=1:obj.nSubdomains(1) + unodal = reshape(u{idom}',1,[])'; + interfaceDOF = obj.interfaceDof(:,idom); + uInt = uInt + w(idom)*unodal(interfaceDOF); + end + end + + function uIntNew = updateDirichletValues(obj,u) + for idom=1:obj.nSubdomains(1) + bD{idom} = obj.boundaryConditions.dirichletStep{idom}; + ind = obj.interfaceDirichletDof(:,idom); + bD{idom}.dirichlet_values(ind) = bD{idom}.dirichlet_values(ind) + obj.theta*u; + + end + obj.boundaryConditions.dirichletStep = bD; + uIntNew = bD{end}.dirichlet_values(obj.interfaceDirichletDof(:,end)); + end + + function plotSolution(obj,x,mesh,domain,iter) + % xFull = bc.reducedToFullVector(x); + s.fValues = reshape(x,2,[])'; + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + xF = P1Function(s); + % xF.plot(); + xF.print(['domain',num2str(domain),'_',num2str(iter)],'Paraview') + fclose('all'); + end + + function print(obj, filename, software,funNames,fun,mesh) + if nargin == 2; software = 'GiD'; end +% [fun, funNames] = obj.getFunsToPlot(); + a.mesh = mesh; + a.filename = filename; + a.fun = fun; + a.funNames = funNames; + + a.type = software; + pst = FunctionPrinter.create(a); + pst.print(); + end + + function plotfields(obj,basis) + software = 'Paraview'; + funNames = {'translationX', 'translationY', 'rotation'}; + for idom=1:obj.nSubdomains(1) + nbasis = size(basis{idom},2); + for ibasis = 1:nbasis + values = basis{idom}(:,ibasis); + s.fValues = reshape(values,2,[])'; + s.mesh = obj.meshDomain; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + fun{ibasis} = P1Function(s); + end +% a.fun=fun; + mesh=obj.meshDomain; + filename = ['domain',num2str(idom)]; + obj.print(filename,software,funNames,fun,mesh) + end + end + + end +end diff --git a/BalancingNeumannNeumann_ndom.m b/BalancingNeumannNeumann_ndom.m new file mode 100644 index 0000000000..773ed89290 --- /dev/null +++ b/BalancingNeumannNeumann_ndom.m @@ -0,0 +1,1198 @@ +classdef BalancingNeumannNeumann_ndom < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + meshDomain + boundaryConditions + material + meshReference + interfaceMeshReference + meshSubDomain + interfaceConnec + nSubdomains + ninterfaces + interfaceMeshSubDomain + globalMeshConnecSubDomain + interfaceMeshConnecSubDomain + subDomainContact + cornerNodes + quad + interfaceDof + interfaceDom + dofInterfaceDomain + interiorDof + hExt + locGlobConnec + localGlobalDofConnec + coarseSpace + domainFun + domainLHS + LHScoarse + + displacementFun + LHS + RHS + scale + theta + Fext + weight + interfaceNeumanDof + interfaceDirichletDof + end + + methods (Access = public) + + function obj = BalancingNeumannNeumann_ndom() + close all + obj.init(); + obj.createReferenceMesh(); + + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.meshReference; + m = MeshCreatorFromRVE(s); + [obj.meshDomain,obj.meshSubDomain,obj.interfaceConnec,~,obj.locGlobConnec] = m.create(); + + obj.domainFun = LagrangianFunction.create(obj.meshDomain, obj.meshDomain.ndim,'P1'); + obj.createSubdomainDisplacementFun(); + [obj.interfaceDof,obj.interfaceDom] = obj.computeLocalInterfaceDof(); + obj.dofInterfaceDomain = obj.assingInterfaceDof2Domain(); + obj.interiorDof = obj.assingInteriorDof(); + obj.computeSubdomainLHS(); + obj.createSubdomainBoundaryConditions(); + + obj.localGlobalDofConnec = obj.createlocalGlobalDofConnec(); + + obj.computeDomainLHS(); + + obj.coarseSpace = obj.computeCoarseSpace(); + obj.LHScoarse = obj.computeCoarseLHS(); + obj.plotfields(obj.coarseSpace) + + + +% obj.createSubdomainBoundaryConditions(); + + obj.interfaceNeumanDof = obj.identifyNeumanInterfaceDof(); + obj.interfaceDirichletDof = obj.identifyDirichletInterfaceDof(); + + obj.NeumannNeumannSolver(); + + + % obj.solveDomainProblem(); + + + + end + + function solveDomainProblem(obj) + s.mesh = obj.meshDomain; + s.bc = obj.boundaryConditions; + s.material = obj.material; + s.type = 'ELASTIC'; + s.scale = 'MACRO'; + s.dim = '2D'; + s.solverTyp = 'ITERATIVE'; + s.iterativeSolverTyp = 'PCG'; + s.preconditionerType = 'EIFEM'; + s.tol = 1e-6; + + fem = FEM.create(s); + fem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [3 1]; %nx ny + obj.scale = 'MACRO'; + obj.weight = 0.5; + obj.theta = 0.3; + end + + function createReferenceMesh(obj) +% filename = 'lattice_ex1'; +% a.fileName = filename; +% femD = FemDataContainer(a); +% mS = femD.mesh; +% bS = mS.createBoundaryMesh(); + % Generate coordinates + x1 = linspace(0,1,3); + x2 = linspace(0,0.5,3); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + + s.coord = coord(:,1:2); + s.connec = F; + mS = Mesh.create(s); + bS = mS.createBoundaryMesh(); + + obj.meshReference = mS; + obj.interfaceMeshReference = bS; + obj.ninterfaces = length(bS); + end + + + function BC = createRawBoundaryConditionsDirichlet(obj,j,i) + library = obj.bcDirichletStepLibrary(); + dirichletBc{1,1} = library.dirichletBottomLeft; + dirichletBc{1,2} = library.dirichletBottomMiddle; + dirichletBc{1,3} = library.dirichletBottomRight; + + dirichletBc{2,1} = library.dirichletTopLeft; + dirichletBc{2,2} = library.dirichletTopMiddle; + dirichletBc{2,3} = library.dirichletTopRight; + +% newmanBc{1,1}=[]; +% newmanBc{1,2}=[]; +% newmanBc{1,3}.boundaryId=2; +% newmanBc{1,3}.dof{1}=[2]; +% newmanBc{1,3}.value{1}=[-1]; + newmanBc{1,1}.boundaryId=4; + newmanBc{1,1}.dof{1}=[2]; + newmanBc{1,1}.value{1}=[0]; + newmanBc{1,2}.boundaryId=4; + newmanBc{1,2}.dof{1}=[2]; + newmanBc{1,2}.value{1}=[-1]; + newmanBc{1,3}.boundaryId=4; + newmanBc{1,3}.dof{1}=[2]; + newmanBc{1,3}.value{1}=[0]; + + newmanBc{2,1}=[]; + newmanBc{2,2}=[]; + newmanBc{2,3}.boundaryId=2; + newmanBc{2,3}.dof{1}=[2]; + newmanBc{2,3}.value{1}=[-1]; + + bM = obj.meshSubDomain{j,i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{j,i},newmanBc{j,i}); + BC.dirichlet=dirichlet; + BC.pointload=pointload; + + end + + function BC = createRawBoundaryConditionsNeumann(obj,j,i) + library = obj.bcNeumanntStepLibrary(); + dirichletBc{1,1}.boundaryId=[1]; + dirichletBc{1,1}.dof{1}=[1,2]; + dirichletBc{1,1}.value{1}=[0,0]; + dirichletBc{1,2}=[]; + dirichletBc{1,3}=[]; +% dirichletBc{1,3}.boundaryId=[2]; +% dirichletBc{1,3}.dof{1}=[1,2]; +% dirichletBc{1,3}.value{1}=[0,0]; + + dirichletBc{2,1}.boundaryId=[1]; + dirichletBc{2,1}.dof{1}=[1,2]; + dirichletBc{2,1}.value{1}=[0,0]; + dirichletBc{2,2}=[]; + dirichletBc{2,3}=[]; + + newmanBc{1,1} = library.neumannBottomLeft; + newmanBc{1,2} = library.neumannBottomMiddle; + newmanBc{1,3} = library.neumannBottomRight; + + newmanBc{2,1} = library.neumannTopLeft; + newmanBc{2,2} = library.neumannTopMiddle; + newmanBc{2,3} = library.neumannTopRight; + + + bM = obj.meshSubDomain{i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{j,i},newmanBc{j,i}); + BC.dirichlet=dirichlet; + BC.pointload=pointload; + + end + + function [dirichlet,pointload] = createBc(obj,boundaryMesh,dirchletBc,newmanBc) + if ~isempty(dirchletBc) + dirichlet = obj.createBoundaryCondition(boundaryMesh,dirchletBc); + else + dirichlet=[]; + end + if ~isempty(newmanBc) + pointload = obj.createBoundaryCondition(boundaryMesh,newmanBc); + else + pointload=[]; + end + end + + function cond = createBoundaryCondition(obj,bM,condition) + nbound = length(condition.boundaryId); + cond = zeros(1,3); + for ibound=1:nbound + % ncond = length(condition.dof(nbound,:)); + ncond = length(condition.dof{ibound}); + nodeId= reshape(unique(bM{condition.boundaryId(ibound)}.globalConnec),[],1); + nbd = length(nodeId); + condition.value{ibound} = condition.value{ibound}/nbd; + for icond=1:ncond + bdcond= [nodeId, repmat(condition.dof{ibound}(icond),[nbd,1]), repmat(condition.value{ibound}(icond),[nbd,1])]; + cond=[cond;bdcond]; + end + end + cond = cond(2:end,:); + end + + function bc = createBoundaryConditions(obj,mesh,bcV,j,i) + dim = obj.getFunDims(obj.displacementFun{j,i}); + bcV.ndimf = dim.ndimf; + bcV.ndofs = dim.ndofs; + s.mesh = mesh; + s.scale = 'MACRO'; + s.bc = {bcV}; + s.ndofs = dim.ndofs; + bc = BoundaryConditions(s); + bc.compute(); + end + + function createSubdomainBoundaryConditions(obj) + for jdom = 1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsDirichlet(jdom,idom); + obj.boundaryConditions.dirichletStep{jdom,idom} = obj.createBoundaryConditions(obj.meshSubDomain{jdom,idom},rawBC,jdom,idom); + end + end + + for jdom=1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsNeumann(jdom,idom); + obj.boundaryConditions.neumannStep{jdom,idom} = obj.createBoundaryConditions(obj.meshSubDomain{jdom,idom},rawBC,jdom,idom); + end + end + end + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E1 = 1; + nu1 = 1/3; + E = AnalyticalFunction.create(@(x) E1*ones(size(squeeze(x(1,:,:)))),1,mesh); + nu = AnalyticalFunction.create(@(x) nu1*ones(size(squeeze(x(1,:,:)))),1,mesh); + young = E; + poisson = nu; + end + + function createSubdomainDisplacementFun(obj) + nx = obj.nSubdomains(1); + ny = obj.nSubdomains(2); + for i=1:ny + for j=1:nx + fij = LagrangianFunction.create(obj.meshSubDomain{i,j}, obj.meshSubDomain{i,j}.ndim,'P1'); + obj.displacementFun{i,j} = fij; + end + end + + end + + function createDdomainDisplacementFun(obj) + obj.displacementFun= LagrangianFunction.create(obj.meshDomain, obj.meshDomain.ndim,'P1'); + end + + function dim = getFunDims(obj,disp) + d.ndimf = disp.ndimf; + d.nnodes = size(disp.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.meshDomain.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function LHS = computeStiffnessMatrix(obj,mesh,disp,material) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.test = disp; + s.trial = disp; + s.material = material; + lhs = LHSintegrator.create(s); + LHS = lhs.compute(); + end + + function [Fext,RHS] = computeForces(obj,boundaryConditions,material,mesh,disp,LHS) + s.type = 'Elastic'; + s.scale = obj.scale; + s.dim = obj.getFunDims(disp); + s.BC = boundaryConditions; + s.mesh = mesh; + s.material = material; + % s.globalConnec = obj.displacementFun{i}.connec; + s.globalConnec = mesh.connec; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + Fext = rhs; + R = RHSint.computeReactions(LHS); + % obj.variables.fext = rhs + R; + RHS = rhs+R; + end + + function computeSubdomainLHS(obj) + for jdom = 1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + mesh = obj.meshSubDomain{jdom,idom}; + disp = obj.displacementFun{jdom,idom}; + mat = obj.createMaterial(mesh); + obj.computeStiffnessMatrix(mesh,disp,mat); + end + end + end + + function computeDomainLHS(obj) + ndimf = obj.domainFun.ndimf; + Gmat = zeros(obj.meshDomain.nnodes*ndimf); + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + locMat = obj.LHS{jdom,idom}; + connec = obj.localGlobalDofConnec{jdom,idom}; + mat = obj.local2globalMatrix(locMat,connec); + Gmat = Gmat+mat; + end + end + obj.domainLHS = Gmat; + end + + + + function hExtG = computeHarmonicExtension(obj,vector) + hExtG = zeros(size(vector,1),1); + for jdom= 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + connec = obj.localGlobalDofConnec{jdom,idom}; + vec = obj.global2local(vector,connec); + dirDof = obj.boundaryConditions.neumannStep{jdom,idom}.dirichlet; + vec(dirDof) = 0; + interfaceDof = obj.dofInterfaceDomain{jdom,idom}; + restrictedDof = [interfaceDof; dirDof]; + interiorDof = obj.interiorDof{jdom,idom}; + freeDof = setdiff(interiorDof,restrictedDof); + Kii = obj.LHS{jdom,idom}(freeDof,freeDof); + KiL = obj.LHS{jdom,idom}(freeDof,restrictedDof); + hExt = -Kii\KiL; + hExt = hExt*vec(restrictedDof); + hExtD(freeDof) = hExt; + hExtD(interfaceDof) = vec(interfaceDof)*0.5; + hExtD(dirDof) = 0; + % hExtD = obj.scaleInterfaceValues(hExtD) + hExtG = hExtG + obj.local2global(hExtD,connec); + end + end + end + + function coarseSpace = computeCoarseSpace(obj) + RBbasisl = obj.computeRigidBodyBasis(); + RBbasisl = obj.scaleInterfaceValues(RBbasisl); + RBbasisg = obj.createGlobalBasis(RBbasisl); + + % obj.hExt = obj.computeHarmonicExtension(); + coarseSpace = obj.computeCoarseSpaceBasis2(RBbasisg); + % obj.plotfields(coarseSpace) + % coarseSpace = obj.computeCoarseSpaceBasisNoHarmonic(RBbasisg); + end + + + function RBbasis = computeRigidBodyBasis(obj) + fvalues=[1 0 0;0 1 0; 0 0 1]; + nbasis = size(fvalues,2); + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + ss.mesh=obj.meshSubDomain{jdom,idom}; + maxCord = max(ss.mesh.coord); + minCord = min(ss.mesh.coord); + ss.refPoint= (maxCord + minCord)*0.5; + for ibasis = 1:nbasis + ss.fvalues = fvalues(ibasis,:); + a=RigidBodyFunction(ss); + p1FUNC = a.project('P1'); + bValues = p1FUNC.fValues; + bValues = reshape(bValues',1,[])'; + RBbasis{jdom,idom}(:,ibasis)=bValues; + end + end + end + end + + function values = scaleInterfaceValues(obj,val) + values = val; + nint = size(obj.interfaceDof,3); + ndom = size(obj.interfaceDof,2); + w = [obj.weight,1- obj.weight]; + for iint=1:nint + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,idom,iint); + nfields = size(values{row,col},2); + for ifield = 1:nfields + values{row,col}(dof,ifield) = values{row,col}(dof,ifield)*w(idom); + end + end + end + end + + function Gvec = local2global(obj,Lvec,locGlobConnec) + ndimf = obj.displacementFun{1}.ndimf; + Gvec = zeros(obj.meshDomain.nnodes*ndimf,1); + Gvec(locGlobConnec(:,1)) = Lvec(locGlobConnec(:,2)); + end + + function Lvec = global2local(obj,Gvec,locGlobConnec) + ndimf = obj.displacementFun{1}.ndimf; + Lvec = zeros(obj.meshReference.nnodes*ndimf,1); + Lvec(locGlobConnec(:,2)) = Gvec(locGlobConnec(:,1)); + end + + function globBasis = createGlobalBasis(obj,locBasis) + nbasis = size(locBasis{1},2); + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + for ibasis = 1:nbasis + locVec = locBasis{jdom,idom}(:,ibasis); + connec = obj.localGlobalDofConnec{jdom,idom}; + globVec = obj.local2global(locVec,connec); + globBasis{jdom,idom}(:,ibasis) = globVec; + end + end + end + end + + function Gmat = local2globalMatrix(obj,Lmat,locGlobConnec) + ndimf = obj.domainFun.ndimf; + Gmat = zeros(obj.meshDomain.nnodes*ndimf); + Gmat(locGlobConnec(:,1),locGlobConnec(:,1)) = Lmat(locGlobConnec(:,2),locGlobConnec(:,2)); + end + + function cBasis = computeCoarseSpaceBasis(obj,basis) + for idom = 1:obj.nSubdomains(1) + epsilon = obj.hExt{idom}; + nbasis = size(basis{idom},2); + interfaceDof = obj.dofInterfaceDomain{idom}; + interiorDof = obj.interiorDof{idom}; + for ibasis = 1:nbasis + interfaceDisp = basis{idom}(interfaceDof,ibasis); + interiorDisp = epsilon*interfaceDisp; + cBasis{idom}(interiorDof,ibasis) = interiorDisp; + cBasis{idom}(interfaceDof,ibasis) = interfaceDisp; + end + end + end + + function cBasis = computeCoarseSpaceBasis2(obj,basis) + nx = size(basis,2); + ny = size(basis,1); + + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + dvalues = basis{jdom,idom}; + nbasis = size(dvalues,2); + for ibasis = 1:nbasis + values = dvalues(:,ibasis); + cBasis{jdom,idom}(:,ibasis) = obj.computeHarmonicExtension(values); + end + end + end + end + + function cBasis = computeCoarseSpaceBasisNoHarmonic(obj,basis) + for idom = 1:obj.nSubdomains(1) + nbasis = size(basis{idom},2); + for ibasis = 1:nbasis + cBasis{idom}(:,ibasis) = obj.domainLHS*basis{idom}(:,ibasis); + end + end + % cBasis = obj.domLHS*basis; + end + + function Kcoarse = computeCoarseLHS(obj) + Kfine = obj.domainLHS; + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + basis = obj.coarseSpace{jdom,idom}; + Kcoarse{jdom,idom} = obj.projectMat(Kfine,basis); + end + end + end + + function pmat = projectMat(obj,mat,basis) + pmat = mat*basis; + pmat = basis'*pmat; + end + + function pvec = projectVec(obj,vec,basis) + pvec = basis'*vec; + end + + + function [interfaceDof,interfaceDom] = computeLocalInterfaceDof(obj) + intConec = reshape(obj.interfaceConnec',2,obj.interfaceMeshReference{1}.mesh.nnodes,[]); + intConec = permute(intConec,[2 1 3]); + nint = size(intConec,3); + globaldof=0; + dim = obj.getFunDims(obj.displacementFun{1}); + for iint=1:nint + ndom = size(intConec,2); %length(intConec(1,:,iint)); + for idom = 1:ndom + dofaux=0; + nodesI = intConec(:,idom,iint); + dom = ceil(intConec(1,idom,iint)/obj.meshReference.nnodes); + globaldof = (dom-1)*dim.ndofs; + for iunkn=1:dim.ndimf + DOF = dim.ndimf*(nodesI - 1) + iunkn; + DOF = DOF-globaldof; + dofaux= [dofaux; DOF]; + end + interfaceDof(:,idom,iint) = dofaux(2:end); + interfaceDom(iint,idom) = dom; + % globaldof = globaldof + (iint*(idom-1)+iint)*dim.ndofs; + end + % interfaceDof(:,iint) = dofaux(2:end); + % globaldof = globaldof + dim.ndofs; + end + end + + function dofInterfaceDomain = assingInterfaceDof2Domain(obj) + nint = size(obj.interfaceDof,3); + ndom = size(obj.interfaceDof,2); + dofInterfaceDomain = cell(obj.nSubdomains(2),obj.nSubdomains(1)); + for iint=1:nint + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,idom,iint); + if isempty(dofInterfaceDomain{row,col}) + dofInterfaceDomain{row,col} = dof; + else + dofInterfaceDomain{row,col} = [dofInterfaceDomain{row,col};dof]; + end + end + end + + end + + function interiorDof = assingInteriorDof(obj) + for jdom = 1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + ndof = obj.displacementFun{jdom,idom}.nDofs; + dofs = 1:1:ndof; + interfaceDof = obj.dofInterfaceDomain{jdom,idom}; + interiorDof{jdom,idom} = setdiff(dofs,interfaceDof); + end + end + end + + function localGlobalDofConnec = createlocalGlobalDofConnec(obj) + ndimf = obj.displacementFun{1}.ndimf; + ndom = obj.nSubdomains(1)*obj.nSubdomains(2); + for dom = 1:ndom + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + localGlobalDofConnecDom = zeros(1,2); + nodeG = obj.locGlobConnec(:,1,dom); + nodeL = obj.locGlobConnec(:,2,dom); + for iunkn = 1:ndimf + dofConec = [ndimf*(nodeG - 1) + iunkn , ndimf*(nodeL - 1) + iunkn] ; + localGlobalDofConnecDom = [localGlobalDofConnecDom;dofConec ]; + end + localGlobalDofConnec{row,col} = localGlobalDofConnecDom(2:end,:); + end + end + + function ind = identifyNeumanInterfaceDof(obj) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,idom,iint); + bN = obj.boundaryConditions.neumannStep{row,col}; + [~,ind(:,idom,iint)] = ismember(dof,bN.neumann); + end + end + end + + function ind = identifyDirichletInterfaceDof(obj) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,idom,iint); + bN = obj.boundaryConditions.dirichletStep{row,col}; + [~,ind(:,idom,iint)] = ismember(dof,bN.dirichlet); + end + end +% for idom=1:obj.nSubdomains(1) +% bD = obj.boundaryConditions.dirichletStep{idom}; +% for idof = 1: length(obj.interfaceDof(:,idom)) +% ind(idof,idom) = find(bD.dirichlet == obj.interfaceDof(idof,idom)); +% end +% end + end + + + function NeumannNeumannSolver(obj) + tol=1e-8; + e=1; + iter=1; + nint = size(obj.interfaceDof,3); + uIntOld = zeros(size(obj.interfaceDof,1),nint); + while e(iter)>tol + + [uD,RHS] = obj.solveFEM(obj.boundaryConditions.dirichletStep); + R = obj.computeInterfaceResidual(uD,RHS); + obj.updateNeumanValues(R); + + for jdom = 1:obj.nSubdomains(2) + for idom =1:obj.nSubdomains(1) + mesh = obj.meshSubDomain{jdom,idom}; + x = uD{jdom,idom}; + row = jdom; + col = idom; + obj.plotSolution(x,mesh,row,col,iter) + end + end + + [u0,RHS] = obj.solveCoarseProblem(obj.boundaryConditions.neumannStep); + Rbal = obj.balanceResidual2(u0,RHS); + obj.updateBalancedNeumanValues(Rbal); +% R = obj.computeInterfaceResidual(u0,RHS); +% obj.updateNeumanValues(R); +% for jdom = 1:obj.nSubdomains(2) +% for idom =1:obj.nSubdomains(1) +% mesh = obj.meshSubDomain{jdom,idom}; +% x = uN{jdom,idom}; +% row = jdom; +% col = idom; +% obj.plotSolution(x,mesh,row,col,iter) +% end +% end + + [uN,~] = obj.solveFEM(obj.boundaryConditions.neumannStep); +% [uN,~] = obj.solveFineNeumann(obj.boundaryConditions.neumannStep,Rbal); + uN = obj.constructNeumannDisplacement(uN,u0); + +% for jdom = 1:obj.nSubdomains(2) +% for idom =1:obj.nSubdomains(1) +% mesh = obj.meshSubDomain{jdom,idom}; +% x = uN{jdom,idom}; +% row = jdom; +% col = idom; +% obj.plotSolution(x,mesh,row,col,iter) +% end +% end +% uN = u0 + uN;; + uInt = obj.computeInterfaceDisp(uN); + uIntNew = obj.updateDirichletValues(uInt); + + iter=iter+1; + e(iter) = norm(uIntNew-uIntOld); + if e(iter)>e(iter-1) + aaaa=1; + end + uIntOld = uIntNew; + + % [uD,RHS] = obj.dirichletStep(); + + % for idom = 1:obj.nSubdomains(1) + % uplot = reshape(obj.displacementFun{idom}.fValues',1,[])'; + % uplot = obj.boundaryConditions.neumannStep{idom}.reducedToFullVector(uN{idom}); + % obj.plotSolution(uplot,obj.meshSubDomain{idom}, idom,iter) + % end + % iter=iter+1; + + % uN = obj.neumannStep(); + + + % for idom = 1:obj.nSubdomains(1) + % uplot = obj.boundaryConditions.neumannStep{idom}.reducedToFullVector(uN{idom}); + % uplot = uN{idom}; + % obj.plotSolution(uplot,obj.meshSubDomain{idom}, idom,iter) + % end + + % iter=iter+1; + % e(iter) = norm(uInt_new-uInt); + % uInt = uInt_new; + + % iter=iter+1; + % end + end + end + + function [uD,RHS] = dirichletStep(obj) + for jdom=1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + bD = obj.boundaryConditions.dirichletStep{jdom,idom}; + lhs = obj.LHS{jdom,idom}; + mesh = obj.meshSubDomain{jdom,idom}; + disp = obj.displacementFun{jdom,idom}; + mat = obj.material{jdom,idom}; + [Fext,RHS{idom}] = obj.computeForces(bD,mat,mesh,disp,lhs); + Kred = bD.fullToReducedMatrix(obj.LHS{idom}); + Fred = bD.fullToReducedVector(RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bD.reducedToFullVector(u{idom}); + uD{idom} = reshape(u{idom},2,[])'; + end + end + end + + function u = neumannStep(obj) + for idom = 1:obj.nSubdomains(1) + bN = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + mat = obj.material{idom}; + disp = obj.displacementFun{idom}; + [obj.Fext,obj.RHS{idom}] = obj.computeForces(bN,mat,mesh,disp,lhs); + Kred = bN.fullToReducedMatrix(obj.LHS{idom}); + Fred = bN.fullToReducedVector(obj.RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bN.reducedToFullVector(u{idom}); + end + end + + function [u,RHS] = solveFEM(obj,bc) + for jdom=1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + % bc = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{jdom,idom}; + mesh = obj.meshSubDomain{jdom,idom}; + mat = obj.material{jdom,idom}; + disp = obj.displacementFun{jdom,idom}; + bc_dom = bc{jdom,idom}; + [obj.Fext,RHS{jdom,idom}] = obj.computeForces(bc_dom,mat,mesh,disp,lhs); + Kred = bc_dom.fullToReducedMatrix(obj.LHS{jdom,idom}); + Fred = bc_dom.fullToReducedVector(RHS{jdom,idom}); + uRed = pinv(full(Kred))*Fred; + uF = bc_dom.reducedToFullVector(uRed); + u{jdom,idom} = reshape(uF,2,[])'; + end + end + end + + function [u,RHS] = solveFineNeumann(obj,bc,RHS) + for jdom=1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + bc_dom = bc{jdom,idom}; + Kred = bc_dom.fullToReducedMatrix(obj.LHS{jdom,idom}); + Fred = bc_dom.fullToReducedVector(RHS{jdom,idom}); + uRed = pinv(full(Kred))*Fred; +% uRed = Kred\Fred; + uF = bc_dom.reducedToFullVector(uRed); + u{jdom,idom} = reshape(uF,2,[])'; + end + end + end + + function [uG,RHS] = solveCoarseProblem(obj,bc) + ndimf = obj.domainFun.ndimf; + uG = zeros(obj.meshDomain.nnodes*ndimf,1); + for jdom=1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + % bc = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{jdom,idom}; + mesh = obj.meshSubDomain{jdom,idom}; + mat = obj.material{jdom,idom}; + disp = obj.displacementFun{jdom,idom}; + bc_dom = bc{jdom,idom}; + [obj.Fext,RHS{jdom,idom}] = obj.computeForces(bc_dom,mat,mesh,disp,lhs); + basis = obj.coarseSpace{jdom,idom}; + connec = obj.localGlobalDofConnec{jdom,idom}; + F = obj.local2global(RHS{jdom,idom},connec); + F = obj.projectVec(F,basis); + uRed = obj.LHScoarse{jdom,idom}\F; + uGb = obj.projectVec(uRed,basis'); +% uL = obj.global2local(uG,connec); + if idom==2 || idom==3 + uG = uG + uGb; + end +% uG = uG + uGb; +% u{jdom,idom} = reshape(uG,2,[])'; +% u{jdom,idom} = uL; + end + end + uG = reshape(uG,2,[])'; + end + + function Rint = computeInterfaceResidual(obj,u,RHS) + + w = [obj.weight,1-obj.weight]; + % w = [1,1]; + R=zeros(size(obj.interfaceDof,1),1); +% R2=zeros(size(obj.interfaceDof,1),1); + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + R=zeros(size(obj.interfaceDof,1),1); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + unodal = reshape(u{row,col}',1,[])'; + dof = obj.interfaceDof(:,idom,iint); + R = R + w(idom)*(RHS{row,col}(dof)-obj.LHS{row,col}(dof,:)*unodal ... + + obj.LHS{row,col}(dof,dof)*unodal(dof)); + end + Rint(:,iint)=R; + end +% for idom=1:obj.nSubdomains(1) +% unodal = reshape(u{idom}',1,[])'; +% interfaceDOF = obj.interfaceDof(:,idom); +% R2 = R2 + w(idom)*(RHS{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal ... +% + obj.LHS{idom}(interfaceDOF,interfaceDOF)*unodal(interfaceDOF)); +% % R = R + w(idom)*(obj.Fext{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal); +% % aaa = norm(R2-R); +% end + end + + function updateNeumanValues(obj,R) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + ind = obj.interfaceNeumanDof(:,idom,iint); + obj.boundaryConditions.neumannStep{row,col}.neumann_values(ind) = R(:,iint); + end + end + end + +% function updateBalancedNeumanValues2(obj,R) +% nint = size(obj.interfaceDof,3); +% for iint = 1:nint +% ndom = size(obj.interfaceDof(:,:,iint),2); +% for idom = 1:ndom +% dom = obj.interfaceDom(iint,idom); +% row = ceil(dom/obj.nSubdomains(1)); +% col = dom-(row-1)*obj.nSubdomains(1); +% dof = obj.interfaceDof(:,idom,iint); +% ind = obj.interfaceNeumanDof(:,idom,iint); +% obj.boundaryConditions.neumannStep{row,col}.neumann_values(ind) = R{row,col}(dof); +% end +% end +% end + + function updateBalancedNeumanValues(obj,R) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + ind = obj.interfaceNeumanDof(:,idom,iint); + dof = obj.interfaceDof(:,idom,iint); + obj.boundaryConditions.neumannStep{row,col}.neumann_values(ind) = R{row,col}(dof); + end + end + end + + function u = constructNeumannDisplacement(obj,uFine,uCoarse) + uC = reshape(uCoarse',1,[])'; + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + connec = obj.localGlobalDofConnec{jdom,idom}; + uF = reshape(uFine{jdom,idom}',1,[])'; + uCL = obj.global2local(uC,connec); + uL = uF + uCL; + u{jdom,idom} = reshape(uL,2,[])'; + end + end + end + + function Rbal = balanceResidual2(obj,u,RHS) + unodal = reshape(u',1,[])'; + rCoarse = obj.domainLHS*unodal; + for jdom=1:obj.nSubdomains(2) + for idom =1:obj.nSubdomains(1) + connec = obj.localGlobalDofConnec{jdom,idom}; + Res = obj.local2global(RHS{jdom,idom},connec); + Rg = Res-rCoarse; + Rbal{jdom,idom} = obj.global2local(Rg,connec); + end + end + end + +% function Rbal = balanceResidual(obj,u,RHS) +% R=zeros(size(obj.interfaceDof,1),1); +% % R2=zeros(size(obj.interfaceDof,1),1); +% unodal = reshape(u',1,[])'; +% nint = size(obj.interfaceDof,3); +% for iint = 1:nint +% ndom = size(obj.interfaceDof(:,:,iint),2); +% for idom = 1:ndom +% dom = obj.interfaceDom(iint,idom); +% row = ceil(dom/obj.nSubdomains(1)); +% col = dom-(row-1)*obj.nSubdomains(1); +% % unodal = reshape(u{row,col}',1,[])'; +% dof = obj.interfaceDof(:,idom,iint); +% % R = R + w(idom)*(RHS{row,col}(dof)-obj.LHS{row,col}(dof,:)*unodal ... +% % + obj.LHS{row,col}(dof,dof)*unodal(dof)); +% connec = obj.localGlobalDofConnec{row,col}; +% Res = obj.local2global(RHS{row,col},connec); +% Rg = Res-obj.domainLHS*unodal; +% Rl = obj.global2local(Rg,connec); +% Rbal(:,idom,iint)=Rl(dof); +% end +% % Rbal(:,,iint)=R; +% end +% end + + function uInt = computeInterfaceDisp(obj,u) + nint = size(obj.interfaceDof,3); + uInt = zeros(size(obj.interfaceDof,1),nint); + w = [obj.weight,1- obj.weight]; + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + unodal = reshape(u{row,col}',1,[])'; + dof = obj.interfaceDof(:,idom,iint); + uInt(:,iint) = uInt(:,iint) + w(idom)*unodal(dof); + end + end +% w = [obj.weight,1- obj.weight]; +% % w = [1,1]; +% uInt=zeros(size(obj.interfaceDof,1),1); +% for idom=1:obj.nSubdomains(1) +% unodal = reshape(u{idom}',1,[])'; +% interfaceDOF = obj.interfaceDof(:,idom); +% uInt = uInt + w(idom)*unodal(interfaceDOF); +% end + end + + function uIntNew = updateDirichletValues(obj,u) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + ind = obj.interfaceDirichletDof(:,idom,iint); + bD{row,col} = obj.boundaryConditions.dirichletStep{row,col}; + bD{row,col}.dirichlet_values(ind) = bD{row,col}.dirichlet_values(ind)+ obj.theta*u(:,iint); + end + uIntNew(:,iint) = bD{row,col}.dirichlet_values(ind); + end +% +% for idom=1:obj.nSubdomains(1) +% bD{idom} = obj.boundaryConditions.dirichletStep{idom}; +% ind = obj.interfaceDirichletDof(:,idom); +% bD{idom}.dirichlet_values(ind) = bD{idom}.dirichlet_values(ind) + obj.theta*u; +% +% end + obj.boundaryConditions.dirichletStep = bD; +% uIntNew = bD{end}.dirichlet_values(obj.interfaceDirichletDof(:,end)); + end + + function plotSolution(obj,x,mesh,row,col,iter) + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end +% + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + xF = P1Function(s); +% xF.plot(); + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + fclose('all'); + end + + function print(obj, filename, software,funNames,fun,mesh) + if nargin == 2; software = 'GiD'; end + % [fun, funNames] = obj.getFunsToPlot(); + a.mesh = mesh; + a.filename = filename; + a.fun = fun; + a.funNames = funNames; + + a.type = software; + pst = FunctionPrinter.create(a); + pst.print(); + end + + function plotfields(obj,basis) + software = 'Paraview'; + funNames = {'translationX', 'translationY', 'rotation'}; + for jdom=1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + nbasis = size(basis{jdom,idom},2); + for ibasis = 1:nbasis + values = basis{jdom,idom}(:,ibasis); + s.fValues = reshape(values,2,[])'; + s.mesh = obj.meshDomain; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + fun{ibasis} = P1Function(s); + end + % a.fun=fun; + mesh=obj.meshDomain; + filename = ['domain',num2str(jdom),num2str(idom)]; + obj.print(filename,software,funNames,fun,mesh) + end + end + end + + function bc = bcDirichletStepLibrary(obj) + bc.dirichletBottomLeft.boundaryId=[1,2]; + bc.dirichletBottomLeft.dof{1}=[1,2]; + bc.dirichletBottomLeft.dof{2}=[1,2]; + bc.dirichletBottomLeft.value{1}=[0,0]; + bc.dirichletBottomLeft.value{2}=[0,0]; + +% bc.dirichletBottomLeft.boundaryId=[1,2,4]; +% bc.dirichletBottomLeft.dof{1}=[1,2]; +% bc.dirichletBottomLeft.dof{2}=[1,2]; +% bc.dirichletBottomLeft.dof{3}=[1,2]; +% bc.dirichletBottomLeft.value{1}=[0,0]; +% bc.dirichletBottomLeft.value{2}=[0,0]; +% bc.dirichletBottomLeft.value{3}=[0,0]; +% % bc.newmanNo=[]; + + bc.dirichletBottomMiddle.boundaryId=[1,2]; + bc.dirichletBottomMiddle.dof{1}=[1,2]; + bc.dirichletBottomMiddle.dof{2}=[1,2]; + bc.dirichletBottomMiddle.value{1}=[0,0]; + bc.dirichletBottomMiddle.value{2}=[0,0]; + +% bc.dirichletBottomMiddle.boundaryId=[1,2,4]; +% bc.dirichletBottomMiddle.dof{1}=[1,2]; +% bc.dirichletBottomMiddle.dof{2}=[1,2]; +% bc.dirichletBottomMiddle.dof{3}=[1,2]; +% bc.dirichletBottomMiddle.value{1}=[0,0]; +% bc.dirichletBottomMiddle.value{2}=[0,0]; +% bc.dirichletBottomMiddle.value{3}=[0,0]; + + bc.dirichletBottomRight.boundaryId=[1]; + bc.dirichletBottomRight.dof{1}=[1,2]; +% bc.dirichletBottomRight.dof{2}=[1,2]; + bc.dirichletBottomRight.value{1}=[0,0]; +% bc.dirichletBottomRight.value{2}=[0,0]; + +% bc.dirichletBottomRight.boundaryId=[1,4]; +% bc.dirichletBottomRight.dof{1}=[1,2]; +% bc.dirichletBottomRight.dof{2}=[1,2]; +% bc.dirichletBottomRight.value{1}=[0,0]; +% bc.dirichletBottomRight.value{2}=[0,0]; + + bc.dirichletTopLeft.boundaryId=[1,2,3]; + bc.dirichletTopLeft.dof{1}=[1,2]; + bc.dirichletTopLeft.dof{2}=[1,2]; + bc.dirichletTopLeft.dof{3}=[1,2]; + bc.dirichletTopLeft.value{1}=[0,0]; + bc.dirichletTopLeft.value{2}=[0,0]; + bc.dirichletTopLeft.value{3}=[0,0]; + % bc.newmanNo=[]; + + bc.dirichletTopMiddle.boundaryId=[1,2,3]; + bc.dirichletTopMiddle.dof{1}=[1,2]; + bc.dirichletTopMiddle.dof{2}=[1,2]; + bc.dirichletTopMiddle.dof{3}=[1,2]; + bc.dirichletTopMiddle.value{1}=[0,0]; + bc.dirichletTopMiddle.value{2}=[0,0]; + bc.dirichletTopMiddle.value{3}=[0,0]; + + bc.dirichletTopRight.boundaryId=[1,3]; + bc.dirichletTopRight.dof{1}=[1,2]; + bc.dirichletTopRight.dof{2}=[1,2]; + % dirichletBc{3}.dof{2}=[1,2]; + bc.dirichletTopRight.value{1}=[0,0]; + bc.dirichletTopRight.value{2}=[0,0]; + end + + function bc = bcNeumanntStepLibrary(obj) + bc.neumannBottomLeft.boundaryId=[2]; + bc.neumannBottomLeft.dof{1}=[1,2]; + bc.neumannBottomLeft.value{1}=[0,0]; + % bc.newmanNo=[]; + +% bc.neumannBottomLeft.boundaryId=[2,4]; +% bc.neumannBottomLeft.dof{1}=[1,2]; +% bc.neumannBottomLeft.dof{2}=[1,2]; +% bc.neumannBottomLeft.value{1}=[0,0]; +% bc.neumannBottomLeft.value{2}=[0,0]; + % bc.newmanNo=[]; + + bc.neumannBottomMiddle.boundaryId=[1,2]; + bc.neumannBottomMiddle.dof{1}=[1,2]; + bc.neumannBottomMiddle.dof{2}=[1,2]; + bc.neumannBottomMiddle.value{1}=[0,0]; + bc.neumannBottomMiddle.value{2}=[0,0]; + +% bc.neumannBottomMiddle.boundaryId=[1,2,4]; +% bc.neumannBottomMiddle.dof{1}=[1,2]; +% bc.neumannBottomMiddle.dof{2}=[1,2]; +% bc.neumannBottomMiddle.dof{3}=[1,2]; +% bc.neumannBottomMiddle.value{1}=[0,0]; +% bc.neumannBottomMiddle.value{2}=[0,0]; +% bc.neumannBottomMiddle.value{3}=[0,0]; + + bc.neumannBottomRight.boundaryId=[1]; + bc.neumannBottomRight.dof{1}=[1,2]; + bc.neumannBottomRight.value{1}=[0,0]; + +% bc.neumannBottomRight.boundaryId=[1,4]; +% bc.neumannBottomRight.dof{1}=[1,2]; +% bc.neumannBottomRight.dof{2}=[1,2]; +% bc.neumannBottomRight.value{1}=[0,0]; +% bc.neumannBottomRight.value{2}=[0,0]; + + bc.neumannTopLeft.boundaryId=[2,3]; + bc.neumannTopLeft.dof{1}=[1,2]; + bc.neumannTopLeft.dof{2}=[1,2]; + bc.neumannTopLeft.value{1}=[0,0]; + bc.neumannTopLeft.value{2}=[0,0]; + % bc.newmanNo=[]; + + bc.neumannTopMiddle.boundaryId=[1,2,3]; + bc.neumannTopMiddle.dof{1}=[1,2]; + bc.neumannTopMiddle.dof{2}=[1,2]; + bc.neumannTopMiddle.dof{3}=[1,2]; + bc.neumannTopMiddle.value{1}=[0,0]; + bc.neumannTopMiddle.value{2}=[0,0]; + bc.neumannTopMiddle.value{3}=[0,0]; + + bc.neumannTopRight.boundaryId=[1,3]; + bc.neumannTopRight.dof{1}=[1,2]; + bc.neumannTopRight.dof{2}=[1,2]; + % dirichletBc{3}.dof{2}=[1,2]; + bc.neumannTopRight.value{1}=[0,0]; + bc.neumannTopRight.value{2}=[0,0]; + end + end + + +end diff --git a/BalancingNeumannNeumann_ndom2.m b/BalancingNeumannNeumann_ndom2.m new file mode 100644 index 0000000000..bd064bbf5e --- /dev/null +++ b/BalancingNeumannNeumann_ndom2.m @@ -0,0 +1,1572 @@ +classdef BalancingNeumannNeumann_ndom2 < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + ndimf + functionType + solverCase + meshDomain + boundaryConditions + bcApplier + material + meshReference + interfaceMeshReference + meshSubDomain + interfaceConnec + nSubdomains + ninterfaces + interfaceMeshSubDomain + globalMeshConnecSubDomain + interfaceMeshConnecSubDomain + subDomainContact + cornerNodes + quad + interfaceDof + interfaceDom + dofInterfaceDomain + interiorDof + hExt + locGlobConnec + localGlobalDofConnec + coarseSpace + domainFun + domainLHS + LHScoarse + + displacementFun + LHS + RHS + scale + theta + Fext + weight + interfaceNeumanDof + interfaceDirichletDof + end + + methods (Access = public) + + function obj = BalancingNeumannNeumann_ndom2() + close all + obj.init(); + obj.createReferenceMesh(); + + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.meshReference; + m = MeshCreatorFromRVE(s); + [obj.meshDomain,obj.meshSubDomain,obj.interfaceConnec,~,obj.locGlobConnec] = m.create(); + + obj.domainFun = LagrangianFunction.create(obj.meshDomain, obj.ndimf,obj.functionType); + obj.createSubdomainDisplacementFun(); + [obj.interfaceDof,obj.interfaceDom] = obj.computeLocalInterfaceDof(); + obj.dofInterfaceDomain = obj.assingInterfaceDof2Domain(); + obj.interiorDof = obj.assingInteriorDof(); + obj.computeSubdomainLHS(); + obj.createSubdomainBoundaryConditions(); + obj.createSubdomainBoundaryConditionsApplier(); + + obj.localGlobalDofConnec = obj.createlocalGlobalDofConnec(); + + obj.computeDomainLHS(); + + [obj.coarseSpace,lambda] = obj.computeCoarseSpace(); +% obj.coarseSpace = obj.coarseSpace(1,1:3); + obj.LHScoarse = obj.computeCoarseLHS(); + +% obj.plotfields(lambda) +% obj.plotfields(obj.coarseSpace) + + +% obj.createSubdomainBoundaryConditions(); + + obj.interfaceNeumanDof = obj.identifyNeumanInterfaceDof(); + obj.interfaceDirichletDof = obj.identifyDirichletInterfaceDof(); + + obj.NeumannNeumannSolver(); + + + % obj.solveDomainProblem(); + + + + end + + function solveDomainProblem(obj) + s.mesh = obj.meshDomain; + s.bc = obj.boundaryConditions; + s.material = obj.material; + s.type = 'ELASTIC'; + s.scale = 'MACRO'; + s.dim = '2D'; + s.solverTyp = 'ITERATIVE'; + s.iterativeSolverTyp = 'PCG'; + s.preconditionerType = 'EIFEM'; + s.tol = 1e-6; + + fem = FEM.create(s); + fem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + obj.ndimf = 2; + obj.nSubdomains = [4 1]; %nx ny + obj.scale = 'MACRO'; + obj.weight = 0.5; + obj.theta = 0.2; + obj.functionType = 'P1'; + obj.solverCase='REDUCED'; + end + + function createReferenceMesh(obj) +% filename = 'lattice_ex1'; +% a.fileName = filename; +% femD = FemDataContainer(a); +% mS = femD.mesh; +% bS = mS.createBoundaryMesh(); + % Generate coordinates + x1 = linspace(0,1,5); + x2 = linspace(0,0.5,5); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + +% remove corners +% coord(coord(:,1) == max(coord(:,1)) & coord(:,2) == max(coord(:,2)),:)=[]; +% coord(coord(:,1) == max(coord(:,1)) & coord(:,2) == min(coord(:,2)),:)=[]; +% coord(coord(:,1) == min(coord(:,1)) & coord(:,2) == max(coord(:,2)),:)=[]; +% coord(coord(:,1) == min(coord(:,1)) & coord(:,2) == min(coord(:,2)),:)=[]; +% F = delaunay(coord(:,1:2)); +% + s.coord = coord(:,1:2); + s.connec = F; + mS = Mesh.create(s); + bS = mS.createBoundaryMesh(); + + obj.meshReference = mS; + obj.interfaceMeshReference = bS; + obj.ninterfaces = length(bS); + end + + function createDomainMaterial(obj,j,i) + % ngaus = 1; + % m = obj.meshSubDomain{i}; + obj.material{j,i} = obj.createMaterial(j,i); + end + + function bc = createRawBoundaryConditionsDirichlet(obj,j,i) + library = obj.bcDirichletStepLibrary(); + mesh = obj.meshSubDomain{j,i}; + if j==1 + if i==1 + dirichletBc = library.dirichletBottomLeft; + dirichlet = DirichletCondition(mesh,dirichletBc); + pointload = []; + + elseif i==obj.nSubdomains(1) + dirichletBc = library.dirichletBottomRight; + dirichlet = DirichletCondition(mesh,dirichletBc); + + isRight = @(coor) (abs(coor(:,1) - max(coor(:,1))) < 1e-12); + PL.domain = @(coor) isRight(coor); + PL.direction = 2; + PL.value = -1; + pointload = PointLoad(mesh,PL); + + % need this because force applied in the face not in a point + pointload.values=pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*obj.ndimf,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,obj.ndimf,[])'; + pointload.fun.fValues = fvalues; + +% neumannBc{j,i}.boundaryId = 2; +% neumannBc{j,i}.dof{1} = [1,2]; +% neumannBc{j,i}.value{1} = [0,-0.1/obj.nSubdomains(1)]; + else + dirichletBc = library.dirichletBottomMiddle; + dirichlet = DirichletCondition(mesh,dirichletBc); + pointload = []; + + end + elseif j==obj.nSubdomains(2) + if i==1 + dirichletBc = library.dirichletTopLeft; + dirichlet = DirichletCondition(mesh,dirichletBc); + pointload = []; + elseif i==obj.nSubdomains(1) + dirichletBc = library.dirichletTopRight; + dirichlet = DirichletCondition(mesh,dirichletBc); + + isRight = @(coor) (abs(coor(:,1) - max(coor(:,1))) < 1e-12); + PL.domain = @(coor) isRight(coor); + PL.direction = 2; + PL.value = -1; + pointload = PointLoad(mesh,PL); + + % need this because force applied in the face not in a point + pointload.values=pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*obj.ndimf,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,obj.ndimf,[])'; + pointload.fun.fValues = fvalues; + else + dirichletBc = library.dirichletTopMiddle; + dirichlet = DirichletCondition(mesh,dirichletBc); + pointload = []; + end + elseif i==1 + dirichletBc = library.dirichletLeftMiddle; + dirichlet = DirichletCondition(mesh,dirichletBc); + pointload = []; + + elseif i==obj.nSubdomains(1) + dirichletBc = library.dirichletRightMiddle; + dirichlet = DirichletCondition(mesh,dirichletBc); + isRight = @(coor) (abs(coor(:,1) - max(coor(:,1))) < 1e-12); + PL.domain = @(coor) isRight(coor); + PL.direction = 2; + PL.value = -1; + pointload = PointLoad(mesh,PL); + + % need this because force applied in the face not in a point + pointload.values=pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*obj.ndimf,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,obj.ndimf,[])'; + pointload.fun.fValues = fvalues; + else + dirichletBc = library.dirichletMiddleMiddle; + dirichlet = DirichletCondition(mesh,dirichletBc); + pointload = []; + end + + s.pointloadFun = pointload; + s.dirichletFun = dirichlet; + s.periodicFun = []; + s.mesh = mesh; + bc = BoundaryConditions(s); +% bM = obj.meshSubDomain{j,i}.createBoundaryMesh(); +% [dirichlet,pointload] = obj.createBc(bM,dirichletBc{j,i},neumannBc{j,i}); +% BC.dirichlet=dirichlet; +% BC.pointload=pointload; + + end + + function bc = createRawBoundaryConditionsNeumann(obj,j,i) + library = obj.bcNeumannStepLibrary(); + mesh = obj.meshSubDomain{j,i}; + if j==1 + if i==1 + newmanBc = library.neumannBottomLeft; + pointload = PointLoad(mesh,newmanBc); + + isLeft = @(coor) (abs(coor(:,1) - min(coor(:,1))) < 1e-12); + dirichletBc.domain = @(coor) isLeft(coor); + dirichletBc.direction = [1,2]; + dirichletBc.value = 0; + + dirichlet = DirichletCondition(mesh,dirichletBc); +% dirichletBc{j,i}.boundaryId = [1]; +% dirichletBc{j,i}.dof{1} = [1,2]; +% dirichletBc{j,i}.value{1} = [0,0]; + elseif i==obj.nSubdomains(1) + newmanBc = library.neumannBottomRight; + pointload = PointLoad(mesh,newmanBc); + dirichlet = []; + else + newmanBc = library.neumannBottomMiddle; + pointload = PointLoad(mesh,newmanBc); + dirichlet = []; + end + elseif j==obj.nSubdomains(2) + if i==1 + newmanBc = library.neumannTopLeft; + pointload = PointLoad(mesh,newmanBc); + + isLeft = @(coor) (abs(coor(:,1) - min(coor(:,1))) < 1e-12); + dirichletBc.domain = @(coor) isLeft(coor); + dirichletBc.direction = [1,2]; + dirichletBc.value = 0; + + dirichlet = DirichletCondition(mesh,dirichletBc); + elseif i==obj.nSubdomains(1) + newmanBc = library.neumannTopRight; + pointload = PointLoad(mesh,newmanBc); + dirichlet = []; + else + newmanBc = library.neumannTopMiddle; + pointload = PointLoad(mesh,newmanBc); + dirichlet = []; + end + elseif i==1 + newmanBc = library.neumannLeftMiddle; + pointload = PointLoad(mesh,newmanBc); + + isLeft = @(coor) (abs(coor(:,1) - min(coor(:,1))) < 1e-12); + dirichletBc.domain = @(coor) isLeft(coor); + dirichletBc.direction = [1,2]; + dirichletBc.value = 0; + dirichlet = DirichletCondition(mesh,dirichletBc); + elseif i==obj.nSubdomains(1) + newmanBc = library.neumannRightMiddle; + pointload = PointLoad(mesh,newmanBc); + dirichlet = []; + else + newmanBc = library.neumannMiddleMiddle; + pointload = PointLoad(mesh,newmanBc); + dirichlet = []; + end + + s.pointloadFun = pointload; + s.dirichletFun = dirichlet; + s.periodicFun = []; + s.mesh = mesh; + bc = BoundaryConditions(s); + +% bM = obj.meshSubDomain{i}.createBoundaryMesh(); +% [dirichlet,pointload] = obj.createBc(bM,dirichletBc{j,i},newmanBc{j,i}); +% BC.dirichlet=dirichlet; +% BC.pointload=pointload; + + end + + function [dirichlet,pointload] = createBc(obj,boundaryMesh,dirchletBc,newmanBc) + if ~isempty(dirchletBc) + dirichlet = obj.createBoundaryCondition(boundaryMesh,dirchletBc); + else + dirichlet=[]; + end + if ~isempty(newmanBc) + pointload = obj.createBoundaryCondition(boundaryMesh,newmanBc); + else + pointload=[]; + end + end + + function cond = createBoundaryCondition(obj,bM,condition) + nbound = length(condition.boundaryId); + cond = zeros(1,3); + for ibound=1:nbound + % ncond = length(condition.dof(nbound,:)); + ncond = length(condition.dof{ibound}); + nodeId= reshape(unique(bM{condition.boundaryId(ibound)}.globalConnec),[],1); + nbd = length(nodeId); + condition.value{ibound} = condition.value{ibound}/nbd; + for icond=1:ncond + bdcond= [nodeId, repmat(condition.dof{ibound}(icond),[nbd,1]), repmat(condition.value{ibound}(icond),[nbd,1])]; + cond=[cond;bdcond]; + end + end + cond = cond(2:end,:); + end + + function bc = createBoundaryConditions(obj,mesh,bcV,j,i) + dim = obj.getFunDims(obj.displacementFun{j,i}); + bcV.ndimf = dim.ndimf; + bcV.ndofs = dim.ndofs; + s.mesh = mesh; + s.scale = 'MACRO'; + s.bc = {bcV}; + s.ndofs = dim.ndofs; + bc = BoundaryConditions(s); + bc.compute(); + end + + function createSubdomainBoundaryConditions(obj) + for jdom = 1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsDirichlet(jdom,idom); + obj.boundaryConditions.dirichletStep{jdom,idom} = rawBC; +% obj.boundaryConditions.dirichletStep{jdom,idom} = obj.createBoundaryConditions(obj.meshSubDomain{jdom,idom},rawBC,jdom,idom); + end + end + + for jdom=1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsNeumann(jdom,idom); + obj.boundaryConditions.neumannStep{jdom,idom} = rawBC; +% obj.boundaryConditions.neumannStep{jdom,idom} = obj.createBoundaryConditions(obj.meshSubDomain{jdom,idom},rawBC,jdom,idom); + end + end + end + + function createSubdomainBoundaryConditionsApplier(obj) + for jdom = 1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + s.boundaryConditions = obj.boundaryConditions.dirichletStep{jdom,idom}; + s.mesh = obj.meshSubDomain{jdom,idom}; + obj.bcApplier.dirichletStep{jdom,idom} = BCApplier(s); + end + end + + for jdom = 1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + s.boundaryConditions = obj.boundaryConditions.neumannStep{jdom,idom}; + s.mesh = obj.meshSubDomain{jdom,idom}; + obj.bcApplier.neumannStep{jdom,idom} = BCApplier(s); + end + end + + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E1 = 1; + nu1 = 1/3; + E = AnalyticalFunction.create(@(x) E1*ones(size(squeeze(x(1,:,:)))),1,mesh); + nu = AnalyticalFunction.create(@(x) nu1*ones(size(squeeze(x(1,:,:)))),1,mesh); + young = E; + poisson = nu; + end + + function material = createMaterial(obj,j,i) + mesh = obj.meshSubDomain{j,i}; + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + +% function material = createMaterial(obj,j,i) +% I = ones(obj.meshSubDomain{j,i}.nelem,obj.quad{j,i}.ngaus); +% s.ptype = 'ELASTIC'; +% s.pdim = '2D'; +% s.nelem = obj.meshSubDomain{j,i}.nelem; +% s.mesh = obj.meshSubDomain{j,i}; +% s.kappa = .9107*I; +% s.mu = .3446*I; +% mat = Material.create(s); +% mat.compute(s); +% material = mat; +% end + + function createSubdomainDisplacementFun(obj) + nx = obj.nSubdomains(1); + ny = obj.nSubdomains(2); + for i=1:ny + for j=1:nx + obj.displacementFun{i,j} = LagrangianFunction.create(obj.meshSubDomain{i,j},obj.ndimf,obj.functionType); + end + end + + end + + function createDdomainDisplacementFun(obj) + obj.displacementFun= P1Function.create(obj.meshDomain, obj.meshDomain.ndim); + end + + function dim = getFunDims(obj,disp) + d.ndimf = disp.ndimf; + d.nnodes = size(disp.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.meshDomain.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + +% function computeStiffnessMatrix(obj,j,i) +% s.type = 'ElasticStiffnessMatrix'; +% s.mesh = obj.meshSubDomain{j,i}; +% s.fun = obj.displacementFun{j,i}; +% s.material = obj.material{j,i}; +% lhs = LHSintegrator.create(s); +% obj.LHS{j,i} = lhs.compute(); +% end + + function LHS = computeStiffnessMatrix(obj,j,i) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = obj.meshSubDomain{j,i}; + s.test = LagrangianFunction.create(s.mesh,obj.ndimf, 'P1'); + s.trial = obj.displacementFun{j,i}; + s.material = obj.material{j,i}; + s.quadratureOrder = 2; + lhs = LHSintegrator.create(s); + LHS = lhs.compute(); + end + +% function [Fext,RHS] = computeForces(obj,boundaryConditions,material,mesh,disp,LHS) +% s.type = 'Elastic'; +% s.scale = obj.scale; +% s.dim = obj.getFunDims(disp); +% s.BC = boundaryConditions; +% s.mesh = mesh; +% s.material = material; +% % s.globalConnec = obj.displacementFun{i}.connec; +% s.globalConnec = mesh.connec; +% RHSint = RHSintegrator.create(s); +% rhs = RHSint.compute(); +% Fext = rhs; +% R = RHSint.computeReactions(LHS); +% % obj.variables.fext = rhs + R; +% RHS = rhs+R; +% end + + function forces = computeForces(obj,mesh,dispFun,boundaryConditions,material,stiffness) + s.type = 'Elastic'; + s.scale = 'MACRO'; +% s.dim = obj.getFunDims(); + s.dim.ndofs = dispFun.nDofs; + s.BC = boundaryConditions; + s.mesh = mesh; + s.material = material; +% s.globalConnec = mesh.connec; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + if strcmp(obj.solverCase,'REDUCED') + R = RHSint.computeReactions(stiffness); + forces = rhs+R; + else + forces = rhs; + end + end + + + function computeSubdomainLHS(obj) + for jdom = 1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) +% obj.quad{jdom,idom} = Quadrature.set(obj.meshSubDomain{jdom,idom}.type); +% obj.quad{jdom,idom}.computeQuadrature('QUADRATIC'); + obj.createDomainMaterial(jdom,idom); + obj.LHS{jdom,idom} = obj.computeStiffnessMatrix(jdom,idom); + end + end + end + + function computeDomainLHS(obj) + Gmat = zeros(obj.meshDomain.nnodes*obj.ndimf); + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + locMat = obj.LHS{jdom,idom}; + connec = obj.localGlobalDofConnec{jdom,idom}; + mat = obj.local2globalMatrix(locMat,connec); + Gmat = Gmat+mat; + end + end + obj.domainLHS = Gmat; + end + + + + function hExtG = computeHarmonicExtension(obj,vector) + hExtG = zeros(size(vector,1),1); + for jdom= 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + connec = obj.localGlobalDofConnec{jdom,idom}; + vec = obj.global2local(vector,connec); + dirDof = obj.boundaryConditions.neumannStep{jdom,idom}.dirichlet_dofs; + neuDof = [obj.boundaryConditions.dirichletStep{jdom,idom}.pointload_dofs]; +% neuDof = []; + vec(dirDof) = 0; + interfaceDof = obj.dofInterfaceDomain{jdom,idom}; + restrictedDof = [interfaceDof; dirDof; neuDof]; + interiorDof = obj.interiorDof{jdom,idom}; + freeDof = setdiff(interiorDof,restrictedDof); + Kii = obj.LHS{jdom,idom}(freeDof,freeDof); + KiL = obj.LHS{jdom,idom}(freeDof,restrictedDof); + hExt = -Kii\KiL; + hExt = hExt*vec(restrictedDof); + hExtD(freeDof) = hExt; + hExtD(interfaceDof) = vec(interfaceDof)*0.5; + hExtD(dirDof) = 0; + hExtD(neuDof) = vec(neuDof); + % hExtD = obj.scaleInterfaceValues(hExtD) + hExtG = hExtG + obj.local2global(hExtD,connec); + end + end + end + + function [coarseSpace,lambda] = computeCoarseSpace(obj) + RBbasisl = obj.computeRigidBodyBasis(); +% RBbasisl = obj.scaleInterfaceValues(RBbasisl); +% RBbasisg = obj.createGlobalBasis(RBbasisl); + + % obj.hExt = obj.computeHarmonicExtension(); + [coarseSpace,lambda] = obj.computeCoarseSpaceBasis2(RBbasisl); + + + % obj.plotfields(coarseSpace) + % coarseSpace = obj.computeCoarseSpaceBasisNoHarmonic(RBbasisg); + end + + + function RBbasis = computeRigidBodyBasis(obj) + fvalues=[1 0 0;0 1 0; 0 0 1]; + nbasis = size(fvalues,2); + ind=1; + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + ss.mesh = obj.meshSubDomain{jdom,idom}; + connec = obj.localGlobalDofConnec{jdom,idom}; + maxCord = max(ss.mesh.coord); + minCord = min(ss.mesh.coord); + ss.refPoint= (maxCord + minCord)*0.5; + if isempty(obj.boundaryConditions.neumannStep{jdom,idom}.dirichlet_dofs) + for ibasis = 1:nbasis + ss.fvalues = fvalues(ibasis,:); + a=RigidBodyFunction(ss); + p1FUNC = a.project('P1'); + bValues = p1FUNC.fValues; + bValues = reshape(bValues',1,[])'; + bValues = obj.local2global(bValues,connec); + RBbasis{ind}(:,ibasis)=bValues; + end + ind=ind+1; + end + end + end + end + + function values = scaleInterfaceValues(obj,val) + values = val; + nint = size(obj.interfaceDof,3); + ndom = size(obj.interfaceDof,2); + w = [obj.weight,1- obj.weight]; + nbasis = size(values,2); + for ibasis = 1:nbasis + nfields = size(values{ibasis},2); + for ifield=1:nfields + gVec = values{ibasis}(:,ifield); +% sVec = zeros(size(gVec,1),1); + for iint=1:nint + sVec = zeros(size(gVec,1),1); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,idom,iint); + connec = obj.localGlobalDofConnec{row,col}; + lValue = obj.global2local(gVec,connec); + lValue(dof) = lValue(dof)*w(idom); + gsVec = obj.local2global(lValue,connec); + sVec = sVec + gsVec; + end + gVec = sVec; + end + values{ibasis}(:,ifield) = sVec; + end + end + end + + function Gvec = local2global(obj,Lvec,locGlobConnec) + ndimf = obj.displacementFun{1}.ndimf; + Gvec = zeros(obj.meshDomain.nnodes*ndimf,1); + Gvec(locGlobConnec(:,1)) = Lvec(locGlobConnec(:,2)); + end + + function Lvec = global2local(obj,Gvec,locGlobConnec) + ndimf = obj.displacementFun{1}.ndimf; + Lvec = zeros(obj.meshReference.nnodes*ndimf,1); + Lvec(locGlobConnec(:,2)) = Gvec(locGlobConnec(:,1)); + end + + function globBasis = createGlobalBasis(obj,locBasis) + nbasis = size(locBasis{1},2); + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + for ibasis = 1:nbasis + locVec = locBasis{jdom,idom}(:,ibasis); + connec = obj.localGlobalDofConnec{jdom,idom}; + globVec = obj.local2global(locVec,connec); + globBasis{jdom,idom}(:,ibasis) = globVec; + end + end + end + end + + function Gmat = local2globalMatrix(obj,Lmat,locGlobConnec) + ndimf = obj.domainFun.ndimf; + Gmat = zeros(obj.meshDomain.nnodes*ndimf); + Gmat(locGlobConnec(:,1),locGlobConnec(:,1)) = Lmat(locGlobConnec(:,2),locGlobConnec(:,2)); + end + + function cBasis = computeCoarseSpaceBasis(obj,basis) + for idom = 1:obj.nSubdomains(1) + epsilon = obj.hExt{idom}; + nbasis = size(basis{idom},2); + interfaceDof = obj.dofInterfaceDomain{idom}; + interiorDof = obj.interiorDof{idom}; + for ibasis = 1:nbasis + interfaceDisp = basis{idom}(interfaceDof,ibasis); + interiorDisp = epsilon*interfaceDisp; + cBasis{idom}(interiorDof,ibasis) = interiorDisp; + cBasis{idom}(interfaceDof,ibasis) = interfaceDisp; + end + end + end + + function [cBasis,lambda] = computeCoarseSpaceBasis2(obj,basis) + nx = size(basis,2); + ny = size(basis,1); + nbasis = size(basis,2); + for ibasis = 1:nbasis + nfields = size(basis{ibasis},2); + values = basis{ibasis}; + for ifield = 1:nfields + ivalues = values(:,ifield)*0.5; + cBasis{ibasis}(:,ifield) = obj.computeHarmonicExtension(ivalues); + lambda{ibasis}(:,ifield) = -obj.domainLHS*cBasis{ibasis}(:,ifield); + end + end + +% for jdom = 1:obj.nSubdomains(2) +% for idom = 1:obj.nSubdomains(1) +% dvalues = basis{jdom,idom}; +% nbasis = size(dvalues,2); +% for ibasis = 1:nbasis +% values = dvalues(:,ibasis); +% cBasis{jdom,idom}(:,ibasis) = obj.computeHarmonicExtension(values); +% end +% end +% end + end + + function cBasis = computeCoarseSpaceBasisNoHarmonic(obj,basis) + for idom = 1:obj.nSubdomains(1) + nbasis = size(basis{idom},2); + for ibasis = 1:nbasis + cBasis{idom}(:,ibasis) = obj.domainLHS*basis{idom}(:,ibasis); + end + end + % cBasis = obj.domLHS*basis; + end + + function Kcoarse = computeCoarseLHS(obj) + Kfine = obj.domainLHS; + nbasis = size(obj.coarseSpace,2); + for ibasis = 1:nbasis + basis = obj.coarseSpace{ibasis}; + Kcoarse{ibasis} = obj.projectMat(Kfine,basis); + end + end + + function pmat = projectMat(obj,mat,basis) + pmat = mat*basis; + pmat = basis'*pmat; + end + + function pvec = projectVec(obj,vec,basis) + pvec = basis'*vec; + end + + + function [interfaceDof,interfaceDom] = computeLocalInterfaceDof(obj) + intConec = reshape(obj.interfaceConnec',2,obj.interfaceMeshReference{1}.mesh.nnodes,[]); + intConec = permute(intConec,[2 1 3]); + nint = size(intConec,3); + globaldof=0; + dim = obj.getFunDims(obj.displacementFun{1}); + for iint=1:nint + ndom = size(intConec,2); %length(intConec(1,:,iint)); + for idom = 1:ndom + dofaux=0; + nodesI = intConec(:,idom,iint); + dom = ceil(intConec(1,idom,iint)/obj.meshReference.nnodes); + globaldof = (dom-1)*dim.ndofs; + for iunkn=1:dim.ndimf + DOF = dim.ndimf*(nodesI - 1) + iunkn; + DOF = DOF-globaldof; + dofaux= [dofaux; DOF]; + end + interfaceDof(:,idom,iint) = dofaux(2:end); + interfaceDom(iint,idom) = dom; + % globaldof = globaldof + (iint*(idom-1)+iint)*dim.ndofs; + end + % interfaceDof(:,iint) = dofaux(2:end); + % globaldof = globaldof + dim.ndofs; + end + end + + function dofInterfaceDomain = assingInterfaceDof2Domain(obj) + nint = size(obj.interfaceDof,3); + ndom = size(obj.interfaceDof,2); + dofInterfaceDomain = cell(obj.nSubdomains(2),obj.nSubdomains(1)); + for iint=1:nint + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,idom,iint); + if isempty(dofInterfaceDomain{row,col}) + dofInterfaceDomain{row,col} = dof; + else + dofInterfaceDomain{row,col} = [dofInterfaceDomain{row,col};dof]; + end + end + end + + end + + function interiorDof = assingInteriorDof(obj) + for jdom = 1:obj.nSubdomains(2) + for idom=1:obj.nSubdomains(1) + ndof = obj.displacementFun{jdom,idom}.nDofs; + dofs = 1:1:ndof; + interfaceDof = obj.dofInterfaceDomain{jdom,idom}; + interiorDof{jdom,idom} = setdiff(dofs,interfaceDof); + end + end + end + + function localGlobalDofConnec = createlocalGlobalDofConnec(obj) + ndimf = obj.displacementFun{1}.ndimf; + ndom = obj.nSubdomains(1)*obj.nSubdomains(2); + for dom = 1:ndom + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + localGlobalDofConnecDom = zeros(1,2); + nodeG = obj.locGlobConnec(:,1,dom); + nodeL = obj.locGlobConnec(:,2,dom); + for iunkn = 1:ndimf + dofConec = [ndimf*(nodeG - 1) + iunkn , ndimf*(nodeL - 1) + iunkn] ; + localGlobalDofConnecDom = [localGlobalDofConnecDom;dofConec ]; + end + localGlobalDofConnec{row,col} = localGlobalDofConnecDom(2:end,:); + end + end + + function ind = identifyNeumanInterfaceDof(obj) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,idom,iint); + bN = obj.boundaryConditions.neumannStep{row,col}; + [~,ind(:,idom,iint)] = ismember(dof,bN.pointload_dofs); + end + end + end + + function ind = identifyDirichletInterfaceDof(obj) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,idom,iint); + bN = obj.boundaryConditions.dirichletStep{row,col}; + [~,ind(:,idom,iint)] = ismember(dof,bN.dirichlet_dofs); + end + end +% for idom=1:obj.nSubdomains(1) +% bD = obj.boundaryConditions.dirichletStep{idom}; +% for idof = 1: length(obj.interfaceDof(:,idom)) +% ind(idof,idom) = find(bD.dirichlet == obj.interfaceDof(idof,idom)); +% end +% end + end + + + function NeumannNeumannSolver(obj) + tol=1e-8; + e=1; + iter=1; + nint = size(obj.interfaceDof,3); + uIntOld = zeros(size(obj.interfaceDof,1),nint); + while e(iter)>tol + + [uD,RHS] = obj.solveFEM(obj.boundaryConditions.dirichletStep,obj.bcApplier.dirichletStep); + R = obj.computeInterfaceResidual(uD,RHS); +% obj.updateNeumanValues(R); + RG = obj.constructGlobalResidual(R); +% obj.plotSolution(RG,obj.meshDomain,11,11,iter,2) +% for jdom = 1:obj.nSubdomains(2) +% for idom =1:obj.nSubdomains(1) +% mesh = obj.meshSubDomain{jdom,idom}; +% x = uD{jdom,idom}; +% row = jdom; +% col = idom; +% obj.plotSolution(x,mesh,row,col,iter) +% end +% end + +% [u0,RHS] = obj.solveCoarseProblem(obj.boundaryConditions.neumannStep); + u0 = obj.solveCoarseProblem2(RG); +% obj.plotSolution(u0,obj.meshDomain,10,10,iter) + Rbal = obj.balanceResidual3(u0,RG); +% for jdom = 1:obj.nSubdomains(2) +% for idom =1:obj.nSubdomains(1) +% mesh = obj.meshSubDomain{jdom,idom}; +% x = Rbal{jdom,idom}; +% row = jdom; +% col = idom; +% obj.plotSolution(x,mesh,row,col,iter,1) +% end +% end +% Rbal = obj.balanceResidual2(u0,RHS); + obj.updateBalancedNeumanValues(Rbal); +% R = obj.computeInterfaceResidual(u0,RHS); +% obj.updateNeumanValues(R); + + [uN,~] = obj.solveFEM(obj.boundaryConditions.neumannStep,obj.bcApplier.dirichletStep); +% for jdom = 1:obj.nSubdomains(2) +% for idom =1:obj.nSubdomains(1) +% mesh = obj.meshSubDomain{jdom,idom}; +% x = uN{jdom,idom}; +% row = jdom; +% col = idom; +% obj.plotSolution(x,mesh,row,col,iter,3) +% end +% end +% [uN,~] = obj.solveFineNeumann(obj.boundaryConditions.neumannStep,Rbal); + uN = obj.constructNeumannDisplacement(uN,u0); + +% for jdom = 1:obj.nSubdomains(2) +% for idom =1:obj.nSubdomains(1) +% mesh = obj.meshSubDomain{jdom,idom}; +% x = uN{jdom,idom}; +% row = jdom; +% col = idom; +% obj.plotSolution(x,mesh,row,col,iter,4) +% end +% end +% uN = u0 + uN;; + uInt = obj.computeInterfaceDisp(uN); + uIntNew = obj.updateDirichletValues(uInt); + + iter=iter+1; + e(iter) = norm(uIntNew-uIntOld)/norm(uIntOld); + if e(iter)>e(iter-1) + aaaa=1; + end + uIntOld = uIntNew; + + + end + end + + function [uD,RHS] = dirichletStep(obj) + for jdom=1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + bD = obj.boundaryConditions.dirichletStep{jdom,idom}; + lhs = obj.LHS{jdom,idom}; + mesh = obj.meshSubDomain{jdom,idom}; + disp = obj.displacementFun{jdom,idom}; + mat = obj.material{jdom,idom}; + [Fext,RHS{idom}] = obj.computeForces(bD,mat,mesh,disp,lhs); + Kred = bD.fullToReducedMatrix(obj.LHS{idom}); + Fred = bD.fullToReducedVector(RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bD.reducedToFullVector(u{idom}); + uD{idom} = reshape(u{idom},2,[])'; + end + end + end + + function u = neumannStep(obj) + for idom = 1:obj.nSubdomains(1) + bN = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + mat = obj.material{idom}; + disp = obj.displacementFun{idom}; + [obj.Fext,obj.RHS{idom}] = obj.computeForces(bN,mat,mesh,disp,lhs); + Kred = bN.fullToReducedMatrix(obj.LHS{idom}); + Fred = bN.fullToReducedVector(obj.RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bN.reducedToFullVector(u{idom}); + end + end + + function [u,RHS] = solveFEM(obj,bc,bcApplier) + for jdom=1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + % bc = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{jdom,idom}; + mesh = obj.meshSubDomain{jdom,idom}; + mat = obj.material{jdom,idom}; + disp = obj.displacementFun{jdom,idom}; + bc_dom = bc{jdom,idom}; + bcApp = bcApplier{jdom,idom}; + RHS{jdom,idom} = obj.computeForces(mesh,disp,bc_dom,mat,lhs); + Kred = bcApp.fullToReducedMatrixDirichlet(lhs); + Fred = bcApp.fullToReducedVectorDirichlet(RHS{jdom,idom}); + uRed = pinv(full(Kred))*Fred; + uF = bcApp.reducedToFullVectorDirichlet(uRed); + u{jdom,idom} = reshape(uF,2,[])'; + end + end + end + + function [u,RHS] = solveFineNeumann(obj,bc,RHS) + for jdom=1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + bc_dom = bc{jdom,idom}; + Kred = bc_dom.fullToReducedMatrix(obj.LHS{jdom,idom}); + Fred = bc_dom.fullToReducedVector(RHS{jdom,idom}); + uRed = pinv(full(Kred))*Fred; +% uRed = Kred\Fred; + uF = bc_dom.reducedToFullVector(uRed); + u{jdom,idom} = reshape(uF,2,[])'; + end + end + end + + function [uG,RHS] = solveCoarseProblem(obj,bc) + ndimf = obj.domainFun.ndimf; + uG = zeros(obj.meshDomain.nnodes*ndimf,1); + nbasis = size(obj.coarseSpace,2); + for ibasis = 1:nbasis + basis = obj.coarseSpace{ibasis}; + for jdom=1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + % bc = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{jdom,idom}; + mesh = obj.meshSubDomain{jdom,idom}; + mat = obj.material{jdom,idom}; + disp = obj.displacementFun{jdom,idom}; + bc_dom = bc{jdom,idom}; + RHS{jdom,idom} = obj.computeForces(mesh,disp,bc_dom,mat,lhs); +% basis = obj.coarseSpace{jdom,idom}; + connec = obj.localGlobalDofConnec{jdom,idom}; + F = obj.local2global(RHS{jdom,idom},connec); + F = obj.projectVec(F,basis)*0.5; + uRed = obj.LHScoarse{ibasis}\F; + uGb = obj.projectVec(uRed,basis'); + % uL = obj.global2local(uG,connec); + + uG = uG + uGb; + + % uG = uG + uGb; + % u{jdom,idom} = reshape(uG,2,[])'; + % u{jdom,idom} = uL; + end + end +% uG = reshape(uG,2,[])'; + end + uG = reshape(uG,2,[])'; + end + + function uG = solveCoarseProblem2(obj,R) + ndimf = obj.domainFun.ndimf; + uG = zeros(obj.meshDomain.nnodes*ndimf,1); + nbasis = size(obj.coarseSpace,2); + for ibasis = 1:nbasis + basis = obj.coarseSpace{ibasis}; + F = obj.projectVec(R,basis); + uRed = obj.LHScoarse{ibasis}\F; + uGb = obj.projectVec(uRed,basis'); + uG = uG + uGb; + end + uG = reshape(uG,2,[])'; + end + + function Rint = computeInterfaceResidual(obj,u,RHS) + + w = [obj.weight,1-obj.weight]; + % w = [1,1]; + R=zeros(size(obj.interfaceDof,1),1); +% R2=zeros(size(obj.interfaceDof,1),1); + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + R=zeros(size(obj.interfaceDof,1),1); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + unodal = reshape(u{row,col}',1,[])'; + dof = obj.interfaceDof(:,idom,iint); +% R = R + w(idom)*(RHS{row,col}(dof)-obj.LHS{row,col}(dof,:)*unodal ... +% + obj.LHS{row,col}(dof,dof)*unodal(dof)); + R = R + 1*(RHS{row,col}(dof)-obj.LHS{row,col}(dof,:)*unodal ... + + obj.LHS{row,col}(dof,dof)*unodal(dof)); + end + Rint(:,iint)=R; + end +% for idom=1:obj.nSubdomains(1) +% unodal = reshape(u{idom}',1,[])'; +% interfaceDOF = obj.interfaceDof(:,idom); +% R2 = R2 + w(idom)*(RHS{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal ... +% + obj.LHS{idom}(interfaceDOF,interfaceDOF)*unodal(interfaceDOF)); +% % R = R + w(idom)*(obj.Fext{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal); +% % aaa = norm(R2-R); +% end + end + + function RG = constructGlobalResidual(obj,interfaceR) + nint = size(obj.interfaceDof,3); + ndimf = obj.domainFun.ndimf; + RG = zeros(obj.meshDomain.nnodes*ndimf,1); + for iint = 1:nint + dom = obj.interfaceDom(iint,1); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + dof = obj.interfaceDof(:,1,iint); + dim = obj.getFunDims(obj.displacementFun{row,col}); + ndof = dim.ndofs; + RL = zeros(ndof,1); + RL(dof) = interfaceR(:,iint); + connec = obj.localGlobalDofConnec{row,col}; + RGi = obj.local2global(RL,connec); + RG = RG + RGi; + end + end + + function updateNeumanValues(obj,R) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + ind = obj.interfaceNeumanDof(:,idom,iint); + obj.boundaryConditions.neumannStep{row,col}.neumann_values(ind) = R(:,iint); + end + end + end + +% function updateBalancedNeumanValues2(obj,R) +% nint = size(obj.interfaceDof,3); +% for iint = 1:nint +% ndom = size(obj.interfaceDof(:,:,iint),2); +% for idom = 1:ndom +% dom = obj.interfaceDom(iint,idom); +% row = ceil(dom/obj.nSubdomains(1)); +% col = dom-(row-1)*obj.nSubdomains(1); +% dof = obj.interfaceDof(:,idom,iint); +% ind = obj.interfaceNeumanDof(:,idom,iint); +% obj.boundaryConditions.neumannStep{row,col}.neumann_values(ind) = R{row,col}(dof); +% end +% end +% end + + function updateBalancedNeumanValues(obj,R) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); +% ind = obj.interfaceNeumanDof(:,idom,iint); + dof = obj.interfaceDof(:,idom,iint); + bc = obj.boundaryConditions.neumannStep{row,col}; + values = reshape(bc.pointloadFun.fValues',1,[])'; + values(dof) = R{row,col}(dof); + values = reshape(values,obj.ndimf,[])'; + obj.boundaryConditions.neumannStep{row,col}.pointloadFun.fValues = values; + end + end + end + + function u = constructNeumannDisplacement(obj,uFine,uCoarse) + uC = reshape(uCoarse',1,[])'; + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + connec = obj.localGlobalDofConnec{jdom,idom}; + uF = reshape(uFine{jdom,idom}',1,[])'; + uCL = obj.global2local(uC,connec); + uL = uF + uCL; + u{jdom,idom} = reshape(uL,2,[])'; + end + end + end + + function Rbal = balanceResidual3(obj,u,RG) + unodal = reshape(u',1,[])'; + rCoarse = obj.domainLHS*unodal; + RGbal = RG-rCoarse; + for jdom=1:obj.nSubdomains(2) + for idom =1:obj.nSubdomains(1) + connec = obj.localGlobalDofConnec{jdom,idom}; + Rbal{jdom,idom} = obj.global2local(RGbal,connec); + end + end + end + + + function Rbal = balanceResidual2(obj,u,RHS) + unodal = reshape(u',1,[])'; + rCoarse = obj.domainLHS*unodal; + for jdom=1:obj.nSubdomains(2) + for idom =1:obj.nSubdomains(1) + connec = obj.localGlobalDofConnec{jdom,idom}; + Res = obj.local2global(RHS{jdom,idom},connec); + Rg = Res-rCoarse; + Rbal{jdom,idom} = obj.global2local(Rg,connec); + end + end + end + +% function Rbal = balanceResidual(obj,u,RHS) +% R=zeros(size(obj.interfaceDof,1),1); +% % R2=zeros(size(obj.interfaceDof,1),1); +% unodal = reshape(u',1,[])'; +% nint = size(obj.interfaceDof,3); +% for iint = 1:nint +% ndom = size(obj.interfaceDof(:,:,iint),2); +% for idom = 1:ndom +% dom = obj.interfaceDom(iint,idom); +% row = ceil(dom/obj.nSubdomains(1)); +% col = dom-(row-1)*obj.nSubdomains(1); +% % unodal = reshape(u{row,col}',1,[])'; +% dof = obj.interfaceDof(:,idom,iint); +% % R = R + w(idom)*(RHS{row,col}(dof)-obj.LHS{row,col}(dof,:)*unodal ... +% % + obj.LHS{row,col}(dof,dof)*unodal(dof)); +% connec = obj.localGlobalDofConnec{row,col}; +% Res = obj.local2global(RHS{row,col},connec); +% Rg = Res-obj.domainLHS*unodal; +% Rl = obj.global2local(Rg,connec); +% Rbal(:,idom,iint)=Rl(dof); +% end +% % Rbal(:,,iint)=R; +% end +% end + + function uInt = computeInterfaceDisp(obj,u) + nint = size(obj.interfaceDof,3); + uInt = zeros(size(obj.interfaceDof,1),nint); + w = [obj.weight,1- obj.weight]; + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + unodal = reshape(u{row,col}',1,[])'; + dof = obj.interfaceDof(:,idom,iint); + uInt(:,iint) = uInt(:,iint) + w(idom)*unodal(dof); + end + end +% w = [obj.weight,1- obj.weight]; +% % w = [1,1]; +% uInt=zeros(size(obj.interfaceDof,1),1); +% for idom=1:obj.nSubdomains(1) +% unodal = reshape(u{idom}',1,[])'; +% interfaceDOF = obj.interfaceDof(:,idom); +% uInt = uInt + w(idom)*unodal(interfaceDOF); +% end + end + + function uIntNew = updateDirichletValues(obj,u) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); +% ind = obj.interfaceDirichletDof(:,idom,iint); + dof = obj.interfaceDof(:,idom,iint); + bD{row,col} = obj.boundaryConditions.dirichletStep{row,col}; +% bD{row,col}.dirichlet_values(ind) = bD{row,col}.dirichlet_values(ind)+ obj.theta*u(:,iint); +% bc = obj.boundaryConditions.dirichletStep{row,col}; + values = reshape(bD{row,col}.dirichletFun.fValues',1,[])'; + values(dof) = values(dof) + obj.theta*u(:,iint); + values = reshape(values,obj.ndimf,[])'; + bD{row,col}.dirichletFun.fValues = values; + end + ui = reshape(bD{row,col}.dirichletFun.fValues',1,[])'; + uIntNew(:,iint) = ui(dof); + end + obj.boundaryConditions.dirichletStep = bD; +% uIntNew = bD{end}.dirichlet_values(obj.interfaceDirichletDof(:,end)); + end + + function plotSolution(obj,x,mesh,row,col,iter,flag) + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end +% + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + xF = P1Function(s); +% xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + + function print(obj, filename, software,funNames,fun,mesh) + if nargin == 2; software = 'GiD'; end + % [fun, funNames] = obj.getFunsToPlot(); + a.mesh = mesh; + a.filename = filename; + a.fun = fun; + a.funNames = funNames; + + a.type = software; + pst = FunctionPrinter.create(a); + pst.print(); + end + + function plotfields(obj,basis) + software = 'Paraview'; + funNames = {'translationX', 'translationY', 'rotation'}; + nbasis = size(basis,2); + for ibasis=1:nbasis + nfields = size(basis{ibasis},2); + for ifields = 1:nfields + values = basis{ibasis}(:,ifields); + s.fValues = reshape(values,2,[])'; + s.mesh = obj.meshDomain; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + fun{ifields} = P1Function(s); + end + % a.fun=fun; + mesh=obj.meshDomain; + filename = ['domain',num2str(ibasis)]; + obj.print(filename,software,funNames,fun,mesh) + end + end + + function bc = bcDirichletStepLibrary(obj) + isLeft = @(coor) (abs(coor(:,1) - min(coor(:,1))) < 1e-12); + isRight = @(coor) (abs(coor(:,1) - max(coor(:,1))) < 1e-12); + isBottom = @(coor) (abs(coor(:,2) - min(coor(:,2))) < 1e-12); + isTop = @(coor) (abs(coor(:,2) - max(coor(:,2))) < 1e-12); + + bc.dirichletBottomLeft.domain = @(coor) isLeft(coor)|isRight(coor) ; + bc.dirichletBottomLeft.direction = [1,2]; + bc.dirichletBottomLeft.value = 0; + + bc.dirichletBottomMiddle.domain = @(coor) isLeft(coor) | isRight(coor) ; + bc.dirichletBottomMiddle.direction = [1,2]; + bc.dirichletBottomMiddle.value = 0; + + bc.dirichletBottomRight.domain = @(coor) isLeft(coor) ; + bc.dirichletBottomRight.direction = [1,2]; + bc.dirichletBottomRight.value = 0; + +% +% bc.dirichletBottomLeft.boundaryId=[1,2]; +% bc.dirichletBottomLeft.dof{1}=[1,2]; +% bc.dirichletBottomLeft.dof{2}=[1,2]; +% bc.dirichletBottomLeft.value{1}=[0,0]; +% bc.dirichletBottomLeft.value{2}=[0,0]; +% % +% % bc.dirichletBottomLeft.boundaryId=[1,2,4]; +% % bc.dirichletBottomLeft.dof{1}=[1,2]; +% % bc.dirichletBottomLeft.dof{2}=[1,2]; +% % bc.dirichletBottomLeft.dof{3}=[1,2]; +% % bc.dirichletBottomLeft.value{1}=[0,0]; +% % bc.dirichletBottomLeft.value{2}=[0,0]; +% % bc.dirichletBottomLeft.value{3}=[0,0]; +% % bc.newmanNo=[]; +% +% bc.dirichletBottomMiddle.boundaryId=[1,2]; +% bc.dirichletBottomMiddle.dof{1}=[1,2]; +% bc.dirichletBottomMiddle.dof{2}=[1,2]; +% bc.dirichletBottomMiddle.value{1}=[0,0]; +% bc.dirichletBottomMiddle.value{2}=[0,0]; +% +% % bc.dirichletBottomMiddle.boundaryId=[1,2,4]; +% % bc.dirichletBottomMiddle.dof{1}=[1,2]; +% % bc.dirichletBottomMiddle.dof{2}=[1,2]; +% % bc.dirichletBottomMiddle.dof{3}=[1,2]; +% % bc.dirichletBottomMiddle.value{1}=[0,0]; +% % bc.dirichletBottomMiddle.value{2}=[0,0]; +% % bc.dirichletBottomMiddle.value{3}=[0,0]; +% +% bc.dirichletBottomRight.boundaryId=[1]; +% bc.dirichletBottomRight.dof{1}=[1,2]; +% % bc.dirichletBottomRight.dof{2}=[1,2]; +% bc.dirichletBottomRight.value{1}=[0,0]; +% % bc.dirichletBottomRight.value{2}=[0,0]; +% +% % bc.dirichletBottomRight.boundaryId=[1,4]; +% % bc.dirichletBottomRight.dof{1}=[1,2]; +% % bc.dirichletBottomRight.dof{2}=[1,2]; +% % bc.dirichletBottomRight.value{1}=[0,0]; +% % bc.dirichletBottomRight.value{2}=[0,0]; + + bc.dirichletTopLeft.boundaryId=[1,2,3]; + bc.dirichletTopLeft.dof{1}=[1,2]; + bc.dirichletTopLeft.dof{2}=[1,2]; + bc.dirichletTopLeft.dof{3}=[1,2]; + bc.dirichletTopLeft.value{1}=[0,0]; + bc.dirichletTopLeft.value{2}=[0,0]; + bc.dirichletTopLeft.value{3}=[0,0]; + % bc.newmanNo=[]; + + bc.dirichletTopMiddle.boundaryId=[1,2,3]; + bc.dirichletTopMiddle.dof{1}=[1,2]; + bc.dirichletTopMiddle.dof{2}=[1,2]; + bc.dirichletTopMiddle.dof{3}=[1,2]; + bc.dirichletTopMiddle.value{1}=[0,0]; + bc.dirichletTopMiddle.value{2}=[0,0]; + bc.dirichletTopMiddle.value{3}=[0,0]; + + bc.dirichletTopRight.boundaryId=[1,3]; + bc.dirichletTopRight.dof{1}=[1,2]; + bc.dirichletTopRight.dof{2}=[1,2]; + % dirichletBc{3}.dof{2}=[1,2]; + bc.dirichletTopRight.value{1}=[0,0]; + bc.dirichletTopRight.value{2}=[0,0]; + + bc.dirichletLeftMiddle.boundaryId=[1,2,3,4]; + bc.dirichletLeftMiddle.dof{1}=[1,2]; + bc.dirichletLeftMiddle.dof{2}=[1,2]; + bc.dirichletLeftMiddle.dof{3}=[1,2]; + bc.dirichletLeftMiddle.dof{4}=[1,2]; + bc.dirichletLeftMiddle.value{1}=[0,0]; + bc.dirichletLeftMiddle.value{2}=[0,0]; + bc.dirichletLeftMiddle.value{3}=[0,0]; + bc.dirichletLeftMiddle.value{4}=[0,0]; + + bc.dirichletRightMiddle.boundaryId=[1,3,4]; + bc.dirichletRightMiddle.dof{1}=[1,2]; + bc.dirichletRightMiddle.dof{2}=[1,2]; + bc.dirichletRightMiddle.dof{3}=[1,2]; + bc.dirichletRightMiddle.value{1}=[0,0]; + bc.dirichletRightMiddle.value{2}=[0,0]; + bc.dirichletRightMiddle.value{3}=[0,0]; + + bc.dirichletMiddleMiddle.boundaryId=[1,2,3,4]; + bc.dirichletMiddleMiddle.dof{1}=[1,2]; + bc.dirichletMiddleMiddle.dof{2}=[1,2]; + bc.dirichletMiddleMiddle.dof{3}=[1,2]; + bc.dirichletMiddleMiddle.dof{4}=[1,2]; + bc.dirichletMiddleMiddle.value{1}=[0,0]; + bc.dirichletMiddleMiddle.value{2}=[0,0]; + bc.dirichletMiddleMiddle.value{3}=[0,0]; + bc.dirichletMiddleMiddle.value{4}=[0,0]; + end + + function bc = bcNeumannStepLibrary(obj) + isLeft = @(coor) (abs(coor(:,1) - min(coor(:,1))) < 1e-12); + isRight = @(coor) (abs(coor(:,1) - max(coor(:,1))) < 1e-12); + isBottom = @(coor) (abs(coor(:,2) - min(coor(:,2))) < 1e-12); + isTop = @(coor) (abs(coor(:,2) - max(coor(:,2))) < 1e-12); + + bc.neumannBottomLeft.domain = @(coor) isRight(coor) ; + bc.neumannBottomLeft.direction = [1,2]; + bc.neumannBottomLeft.value = 0; + + bc.neumannBottomMiddle.domain = @(coor) isLeft(coor) | isRight(coor) ; + bc.neumannBottomMiddle.direction = [1,2]; + bc.neumannBottomMiddle.value = 0; + + bc.neumannBottomRight.domain = @(coor) isLeft(coor) ; + bc.neumannBottomRight.direction = [1,2]; + bc.neumannBottomRight.value = 0; + +% +% bc.neumannBottomLeft.boundaryId=[2]; +% bc.neumannBottomLeft.dof{1}=[1,2]; +% bc.neumannBottomLeft.value{1}=[0,0]; +% % % % bc.newmanNo=[]; +% +% % bc.neumannBottomLeft.boundaryId=[2,4]; +% % bc.neumannBottomLeft.dof{1}=[1,2]; +% % bc.neumannBottomLeft.dof{2}=[1,2]; +% % bc.neumannBottomLeft.value{1}=[0,0]; +% % bc.neumannBottomLeft.value{2}=[0,0]; +% % bc.newmanNo=[]; +% +% bc.neumannBottomMiddle.boundaryId=[1,2]; +% bc.neumannBottomMiddle.dof{1}=[1,2]; +% bc.neumannBottomMiddle.dof{2}=[1,2]; +% bc.neumannBottomMiddle.value{1}=[0,0]; +% bc.neumannBottomMiddle.value{2}=[0,0]; +% +% % bc.neumannBottomMiddle.boundaryId=[1,2,4]; +% % bc.neumannBottomMiddle.dof{1}=[1,2]; +% % bc.neumannBottomMiddle.dof{2}=[1,2]; +% % bc.neumannBottomMiddle.dof{3}=[1,2]; +% % bc.neumannBottomMiddle.value{1}=[0,0]; +% % bc.neumannBottomMiddle.value{2}=[0,0]; +% % bc.neumannBottomMiddle.value{3}=[0,0]; +% +% bc.neumannBottomRight.boundaryId=[1]; +% bc.neumannBottomRight.dof{1}=[1,2]; +% bc.neumannBottomRight.value{1}=[0,0]; +% +% % bc.neumannBottomRight.boundaryId=[1,4]; +% % bc.neumannBottomRight.dof{1}=[1,2]; +% % bc.neumannBottomRight.dof{2}=[1,2]; +% % bc.neumannBottomRight.value{1}=[0,0]; +% % bc.neumannBottomRight.value{2}=[0,0]; + + bc.neumannTopLeft.boundaryId=[2,3]; + bc.neumannTopLeft.dof{1}=[1,2]; + bc.neumannTopLeft.dof{2}=[1,2]; + bc.neumannTopLeft.value{1}=[0,0]; + bc.neumannTopLeft.value{2}=[0,0]; + % bc.newmanNo=[]; + + bc.neumannTopMiddle.boundaryId=[1,2,3]; + bc.neumannTopMiddle.dof{1}=[1,2]; + bc.neumannTopMiddle.dof{2}=[1,2]; + bc.neumannTopMiddle.dof{3}=[1,2]; + bc.neumannTopMiddle.value{1}=[0,0]; + bc.neumannTopMiddle.value{2}=[0,0]; + bc.neumannTopMiddle.value{3}=[0,0]; + + bc.neumannTopRight.boundaryId=[1,3]; + bc.neumannTopRight.dof{1}=[1,2]; + bc.neumannTopRight.dof{2}=[1,2]; + % dirichletBc{3}.dof{2}=[1,2]; + bc.neumannTopRight.value{1}=[0,0]; + bc.neumannTopRight.value{2}=[0,0]; + + bc.neumannLeftMiddle.boundaryId=[2,3,4]; + bc.neumannLeftMiddle.dof{1}=[1,2]; + bc.neumannLeftMiddle.dof{2}=[1,2]; + bc.neumannLeftMiddle.dof{3}=[1,2]; + bc.neumannLeftMiddle.value{1}=[0,0]; + bc.neumannLeftMiddle.value{2}=[0,0]; + bc.neumannLeftMiddle.value{3}=[0,0]; + + bc.neumannRightMiddle.boundaryId=[1,3,4]; + bc.neumannRightMiddle.dof{1}=[1,2]; + bc.neumannRightMiddle.dof{2}=[1,2]; + bc.neumannRightMiddle.dof{3}=[1,2]; + bc.neumannRightMiddle.value{1}=[0,0]; + bc.neumannRightMiddle.value{2}=[0,0]; + bc.neumannRightMiddle.value{3}=[0,0]; + + bc.neumannMiddleMiddle.boundaryId=[1,2,3,4]; + bc.neumannMiddleMiddle.dof{1}=[1,2]; + bc.neumannMiddleMiddle.dof{2}=[1,2]; + bc.neumannMiddleMiddle.dof{3}=[1,2]; + bc.neumannMiddleMiddle.dof{4}=[1,2]; + bc.neumannMiddleMiddle.value{1}=[0,0]; + bc.neumannMiddleMiddle.value{2}=[0,0]; + bc.neumannMiddleMiddle.value{3}=[0,0]; + bc.neumannMiddleMiddle.value{4}=[0,0]; + end + end + + +end diff --git a/Copy_of_EIFEMtesting.m b/Copy_of_EIFEMtesting.m new file mode 100644 index 0000000000..6a40d9abba --- /dev/null +++ b/Copy_of_EIFEMtesting.m @@ -0,0 +1,881 @@ +classdef EIFEMtesting < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + EIFEMfilename + meshDomain + boundaryConditions + bcApplier + solverCase + material + meshReference + interfaceMeshReference + meshSubDomain + nSubdomains + ninterfaces + interfaceMeshSubDomain + globalMeshConnecSubDomain + interfaceMeshConnecSubDomain + subDomainContact + cornerNodes + quad + interfaceConnec + locGlobConnec + localGlobalDofConnec + interfaceDof + interfaceDom + weight + Lchol + L + U + D + + displacementFun + LHS + RHS + scale + ndimf + functionType + EIFEM + end + + methods (Access = public) + + function obj = EIFEMtesting() + close all + obj.init(); + obj.createReferenceMesh(); + + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.meshReference; + m = MeshCreatorFromRVE(s); + [obj.meshDomain,obj.meshSubDomain,obj.interfaceConnec,~,obj.locGlobConnec] = m.create(); + + obj.displacementFun = LagrangianFunction.create(obj.meshDomain, obj.ndimf,obj.functionType); + [obj.boundaryConditions,Dir,PL] = obj.createBoundaryConditions(obj.meshDomain); + ss.mesh = obj.meshDomain; + ss.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(ss); + obj.localGlobalDofConnec = obj.createlocalGlobalDofConnec(); + [obj.interfaceDof,obj.interfaceDom] = obj.computeLocalInterfaceDof(); + +% obj.quad = Quadrature.set(obj.meshDomain.type); +% obj.quad.computeQuadrature('QUADRATIC'); +% obj.createDomainMaterial(); +% obj.computeForces(); + + obj.material = obj.createMaterial(obj.meshDomain); + obj.LHS = obj.computeStiffnessMatrix(obj.meshDomain,obj.displacementFun,obj.material); + obj.RHS = obj.computeForces(obj.LHS); + + cMesh = createCoarseMesh(obj); + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = cMesh; + mRVECoarse = MeshCreatorFromRVE(s); + [meshDomainCoarse,meshSubDomainCoarse,interfaceConnecCoarse] = mRVECoarse.create(); + + refDisp = LagrangianFunction.create(obj.meshReference, obj.ndimf,obj.functionType); + refMat = obj.createMaterial(obj.meshReference); + refLHS = obj.computeStiffnessMatrix(obj.meshReference,refDisp,refMat); + + obj.EIFEM = obj.createEIFEM(meshDomainCoarse,Dir,refLHS); + + LHS = obj.bcApplier.fullToReducedMatrixDirichlet(obj.LHS); + RHS = obj.bcApplier.fullToReducedVectorDirichlet(obj.RHS); + Usol = LHS\RHS; + obj.Lchol=ichol(LHS); + obj.L = tril(LHS); + obj.U = triu(LHS); + obj.D = diag(diag(LHS)); + +% u = obj.solver2(LHS,RHS,refLHS); + + [uCG,residualCG,errCG,errAnormCG] = obj.conjugateGradient(LHS,RHS,Usol); + [uPCG,residualPCG,errPCG,errAnormPCG] = obj.preconditionedConjugateGradient(LHS,RHS,Usol); + + figure + plot(residualPCG,'linewidth',2) + hold on + plot(residualCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend({'CG + EIFEM','CG'},'FontSize',12) + xlabel('Iteration') + ylabel('Residual') + + figure + plot(errPCG,'linewidth',2) + hold on + plot(errCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM','CG') + xlabel('Iteration') + ylabel('||error||_{L2}') + + figure + plot(errAnormPCG,'linewidth',2) + hold on + plot(errAnormCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM','CG') + xlabel('Iteration') + ylabel('Energy norm') + + + + u = obj.solver2(LHS,RHS,refLHS); + +% % obj.obtainCornerNodes(); +% % fineMesh = MeshFromRVE +% obj.createSubDomainMeshes(); +% obj.createInterfaceSubDomainMeshes(); +% obj.createDomainMesh(); + + +% s.referenceMesh = obj.referenceMesh; +% mC = MeshCreatorFromSubmeshes(); +% obj.meshDomain = mC.mesh; + +% preconditioner = obj.createPreconditioner(mC.submeshes); + + end + + function solveDomainProblem(obj) + s.mesh = obj.meshDomain; + s.bc = obj.boundaryConditions; + s.material = obj.material; + s.type = 'ELASTIC'; + s.scale = 'MACRO'; + s.dim = '2D'; + s.solverTyp = 'ITERATIVE'; + s.iterativeSolverTyp = 'PCG'; + s.preconditionerType = 'EIFEM'; + s.tol = 1e-6; + + fem = FEM.create(s); + fem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [20 1]; %nx ny + obj.scale = 'MACRO'; + obj.ndimf = 2; + obj.functionType = 'P1'; + obj.solverCase = 'REDUCED'; +% obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_8_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_1.mat'; + obj.weight = 0.5; + end + + function createReferenceMesh(obj) +% filename = 'lattice_ex1'; +% a.fileName = obj.EIFEMfilename; +% femD = FemDataContainer(a); +% mS = femD.mesh; +% bS = mS.createBoundaryMesh(); +% % Generate coordinates +% x1 = linspace(0,1,5); +% x2 = linspace(0,1,5); +% % Create the grid +% [xv,yv] = meshgrid(x1,x2); +% % Triangulate the mesh to obtain coordinates and connectivities +% [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); +% +% s.coord = coord(:,1:2); +% s.connec = F; +% mS = Mesh.create(s); +% bS = mS.createBoundaryMesh(); + load(obj.EIFEMfilename); + s.coord = EIFEoper.MESH.COOR; + s.connec = EIFEoper.MESH.CN; + mS = Mesh.create(s); + bS = mS.createBoundaryMesh(); + + obj.meshReference = mS; + obj.interfaceMeshReference = bS; + obj.ninterfaces = length(bS); + end + + function cMesh = createCoarseMesh(obj) + xmax = max(obj.meshReference.coord(:,1)); + xmin = min(obj.meshReference.coord(:,1)); + ymax = max(obj.meshReference.coord(:,2)); + ymin = min(obj.meshReference.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; +% coord(1,1) = xmax; +% coord(1,2) = ymin; +% coord(2,1) = xmax; +% coord(2,2) = ymax; +% coord(3,1) = xmin; +% coord(3,2) = ymax; +% coord(4,1) = xmin; +% coord(4,2) = ymin; + connec = [1 2 3 4]; + connec = [2 3 4 1]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function createDomainMaterial(obj) +% ngaus = 1; + m = obj.meshDomain; + obj.material = obj.createMaterial(m); + end + + function L = computeReferenceMeshLength(obj) + coord = obj.meshReference.coord; + Lx = max(coord(:,1)); + Ly = max(coord(:,2)); + L = [Lx Ly]; + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + isLeft = @(coor) (abs(coor(:,1) - min(coor(:,1))) < 1e-12); + isRight = @(coor) (abs(coor(:,1) - max(coor(:,1))) < 1e-12); + isBottom = @(coor) (abs(coor(:,2) - min(coor(:,2))) < 1e-12); + isTop = @(coor) (abs(coor(:,2) - max(coor(:,2))) < 1e-12); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor) | isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + +% Dir{2}.domain = @(coor) isRight(coor) ; +% Dir{2}.direction = [2]; +% Dir{2}.value = -0.1; + + PL.domain = @(coor) isTop(coor); + PL.direction = 2; + PL.value = -0.1; + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = [dirichletFun, dir]; + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*obj.ndimf,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,obj.ndimf,[])'; + pointload.fun.fValues = fvalues; + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + +% function [dirichlet,pointload] = createBc(obj,boundaryMesh,dirchletBc,newmanBc) +% dirichlet = obj.createBondaryCondition(boundaryMesh,dirchletBc); +% pointload = obj.createBondaryCondition(boundaryMesh,newmanBc); +% end +% +% function cond = createBondaryCondition(obj,bM,condition) +% nbound = length(condition.boundaryId); +% cond = zeros(1,3); +% for ibound=1:nbound +% ncond = length(condition.dof(nbound,:)); +% nodeId= unique(bM{condition.boundaryId(ibound)}.globalConnec); +% nbd = length(nodeId); +% condition.value{ibound} = condition.value{ibound}/nbd; +% for icond=1:ncond +% bdcond= [nodeId, repmat(condition.dof(icond),[nbd,1]), repmat(condition.value(icond),[nbd,1])]; +% cond=[cond;bdcond]; +% end +% end +% cond = cond(2:end,:); +% end + +% function material = createMaterial(obj,mesh) +% I = ones(mesh.nelem,obj.quad.ngaus); +% s.ptype = 'ELASTIC'; +% s.pdim = '2D'; +% s.nelem = mesh.nelem; +% s.mesh = mesh; +% s.kappa = .9107*I; +% s.mu = .3446*I; +% mat = Material.create(s); +% mat.compute(s); +% material = mat; +% end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E1 = 1; + nu1 = 1/3; + E = AnalyticalFunction.create(@(x) E1*ones(size(squeeze(x(1,:,:)))),1,mesh); + nu = AnalyticalFunction.create(@(x) nu1*ones(size(squeeze(x(1,:,:)))),1,mesh); + young = E; + poisson = nu; + end + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function dim = getFunDims(obj) + d.ndimf = obj.displacementFun.ndimf; + d.nnodes = size(obj.displacementFun.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.meshDomain.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + +% function computeStiffnessMatrix(obj) +% s.type = 'ElasticStiffnessMatrix'; +% s.mesh = obj.meshDomain; +% s.fun = obj.displacementFun; +% s.material = obj.material; +% lhs = LHSintegrator.create(s); +% obj.LHS = lhs.compute(); +% end + + function LHS = computeStiffnessMatrix(obj,mesh,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.test = LagrangianFunction.create(s.mesh,obj.ndimf, obj.functionType); + s.trial = dispFun; + s.material = mat; + s.quadratureOrder = 2; + lhs = LHSintegrator.create(s); + LHS = lhs.compute(); + end + +% function computeForces(obj) +% s.type = 'Elastic'; +% s.scale = obj.scale; +% s.dim = obj.getFunDims(); +% s.BC = obj.boundaryConditions; +% s.mesh = obj.meshDomain; +% s.material = obj.material; +% % s.globalConnec = obj.displacementField.connec; +% s.globalConnec = obj.meshDomain.connec; +% RHSint = RHSintegrator.create(s); +% rhs = RHSint.compute(); +% R = RHSint.computeReactions(obj.LHS); +% % obj.variables.fext = rhs + R; +% obj.RHS = rhs; +% end + + function forces = computeForces(obj,stiffness) + s.type = 'Elastic'; + s.scale = 'MACRO'; +% s.dim = obj.getFunDims(); + s.dim.ndofs = obj.displacementFun.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.meshDomain; + s.material = obj.material; +% s.globalConnec = mesh.connec; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + if strcmp(obj.solverCase,'REDUCED') + R = RHSint.computeReactions(stiffness); + forces = rhs+R; + else + forces = rhs; + end + F = obj.assembleVec(); +% forces = forces+F; + end + + function rhs = assembleVec(obj) + f = -0.01*ones(obj.displacementFun.nDofsElem,1); + f(1:2:end) = 0; + F = repmat(f,[1,1,obj.meshDomain.nelem]); + s.fun = obj.displacementFun; % !!! + assembler = AssemblerFun(s); + rhs = assembler.assembleV(F, s.fun); + end + + function localGlobalDofConnec = createlocalGlobalDofConnec(obj) + ndimf = obj.displacementFun.ndimf; + ndom = obj.nSubdomains(1)*obj.nSubdomains(2); + for dom = 1:ndom + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + localGlobalDofConnecDom = zeros(1,2); + nodeG = obj.locGlobConnec(:,1,dom); + nodeL = obj.locGlobConnec(:,2,dom); + for iunkn = 1:ndimf + dofConec = [ndimf*(nodeG - 1) + iunkn , ndimf*(nodeL - 1) + iunkn] ; + localGlobalDofConnecDom = [localGlobalDofConnecDom;dofConec ]; + end + localGlobalDofConnec{row,col} = localGlobalDofConnecDom(2:end,:); + end + end + + function [interfaceDof,interfaceDom] = computeLocalInterfaceDof(obj) + intConec = reshape(obj.interfaceConnec',2,obj.interfaceMeshReference{1}.mesh.nnodes,[]); + intConec = permute(intConec,[2 1 3]); + nint = size(intConec,3); + globaldof=0; + ndimf = obj.ndimf; + ndofs = obj.meshReference.nnodes*ndimf; + + for iint=1:nint + ndom = size(intConec,2); %length(intConec(1,:,iint)); + for idom = 1:ndom + dofaux=0; + nodesI = intConec(:,idom,iint); + dom = ceil(intConec(1,idom,iint)/obj.meshReference.nnodes); + globaldof = (dom-1)*ndofs; + for iunkn=1:ndimf + DOF = ndimf*(nodesI - 1) + iunkn; + DOF = DOF-globaldof; + dofaux= [dofaux; DOF]; + end + interfaceDof(:,idom,iint) = dofaux(2:end); + interfaceDom(iint,idom) = dom; + % globaldof = globaldof + (iint*(idom-1)+iint)*dim.ndofs; + end + % interfaceDof(:,iint) = dofaux(2:end); + % globaldof = globaldof + dim.ndofs; + end + end + + function Gvec = local2global(obj,Lvec) +% ndimf = obj.displacementFun.ndimf; + Gvec = zeros(obj.displacementFun.nDofs,obj.nSubdomains(1)*obj.nSubdomains(2)); +% Gvec(locGlobConnec(:,1)) = Lvec(locGlobConnec(:,2)); + ind = 1; + for jdom = 1: obj.nSubdomains(2) + for idom = 1: obj.nSubdomains(1) + locGlobConnec = obj.localGlobalDofConnec{jdom,idom}; + Gvec(locGlobConnec(:,1),ind) = Lvec(locGlobConnec(:,2),ind); + ind=ind+1; + end + end + end + + function Lvec = global2local(obj,Gvec) + ndimf = obj.displacementFun.ndimf; + Lvec = zeros(obj.meshReference.nnodes*ndimf,obj.nSubdomains(1)*obj.nSubdomains(2)); + ind = 1; + for jdom = 1: obj.nSubdomains(2) + for idom = 1: obj.nSubdomains(1) + locGlobConnec = obj.localGlobalDofConnec{jdom,idom}; + Lvec(locGlobConnec(:,2),ind) = Gvec(locGlobConnec(:,1)); + ind=ind+1; + end + end + end + + function eifem = createEIFEM(obj,meshDomainCoarse,Dir,Kfine) + RVE = TrainedRVE(obj.EIFEMfilename); + s.RVE = RVE; + s.mesh = meshDomainCoarse; + s.DirCond = Dir; + s.Kfine = Kfine; + eifem = EIFEM(s); + end + + function uInt = computeInterfaceDisp(obj,u) + nint = size(obj.interfaceDof,3); + uInt = zeros(size(obj.interfaceDof,1),nint); + w = [obj.weight,1- obj.weight]; + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + unodal = u(:,dom); + dof = obj.interfaceDof(:,idom,iint); + uInt(:,iint) = uInt(:,iint) + w(idom)*unodal(dof); + end + end + end + + function u = smoothDisplacement(obj,u,uInterface) + uG = obj.local2global(u); + uG = sum(uG,2); + u = obj.updateInterfaceValues(uG,uInterface); + end + + function u = updateInterfaceValues(obj,u,uInterface) + nint = size(obj.interfaceDof,3); + for iint = 1:nint + dom = obj.interfaceDom(iint,1); + dof = obj.interfaceDof(:,1,iint); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + locGlobConnec = obj.localGlobalDofConnec{row,col}; + [~,ind] = ismember(dof,locGlobConnec(:,2)); + dofGlob = locGlobConnec(ind,1); + u(dofGlob) = uInterface(:,iint); + end + end + + function R = scaleInterfaceValues(obj,R) + nint = size(obj.interfaceDof,3); + uInt = zeros(size(obj.interfaceDof,1),nint); + w = [obj.weight,1- obj.weight]; + for iint = 1:nint + ndom = size(obj.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + Rnodal = R(:,dom); + dof = obj.interfaceDof(:,idom,iint); + R(dof,dom) = w(idom)* R(dof,dom); + end + end + end + + function Rsbd = computeSubdomainResidual(obj,R,iter) + RG = obj.bcApplier.reducedToFullVectorDirichlet(R); +% obj.plotSolution(RG,obj.meshDomain,0,1,iter,1) + RGsbd = obj.global2local(RG); + Rsbd = obj.scaleInterfaceValues(RGsbd); + end + + function fc = computeContinousField(obj,f) + fInt = obj.computeInterfaceDisp(f); + fc = obj.smoothDisplacement(f,fInt); + fc = obj.bcApplier.fullToReducedVectorDirichlet(fc); + end + + function z = applyILU(obj,r) + Lchol=obj.Lchol; + z = Lchol\r; + z = (Lchol')\z; + end + +% function z = applyGaussSeidel(obj,r) +% L=obj.L; +% z = L\r; +% z = (L')\z; +% end + + function z = applyGaussSeidel(obj,r) + L=obj.L; + U=obj.U; + D=obj.D; + z = U*r; + z = D\z; + z = L*z; +% z = (L')\z; + end + + function u = solver(obj,LHS,RHS) + tol=1e-8; + iter=1; + uN = zeros(length(RHS),1); + R = RHS - LHS*uN; + Rsbd = obj.computeSubdomainResidual(R,iter); + uSbd = obj.EIFEM.apply(Rsbd); +% for jdom = 1:obj.nSubdomains(2) +% for idom =1:obj.nSubdomains(1) +% mesh = obj.meshSubDomain{jdom,idom}; +% ind = obj.nSubdomains(2)*(jdom-1)+idom; +% x = uSbd(:,ind); +% row = jdom; +% col = idom; +% obj.plotSolution(x,mesh,row,col,iter,0) +% end +% end + u = obj.computeContinousField(uSbd); + uplot = obj.bcApplier.reducedToFullVectorDirichlet(u); + obj.plotSolution(uplot,obj.meshDomain,0,11,iter,0) + uN = u; + R = RHS - LHS*uN; + Rsbd = obj.computeSubdomainResidual(R,iter); + uDefSbd = obj.EIFEM.applySubdomainNeumannDeformational(Rsbd); + uDef = obj.computeContinousField(uDefSbd); + uRBsbd = obj.EIFEM.applySubdomainNeumannRigidBody(Rsbd); + uRB = obj.computeContinousField(uRBsbd); + uplot = obj.bcApplier.reducedToFullVectorDirichlet(uDef); +% obj.plotSolution(uplot,obj.meshDomain,0,11,iter+1,0) + uN = uN+uDef+uRB; + uplot = obj.bcApplier.reducedToFullVectorDirichlet(uN); + obj.plotSolution(uplot,obj.meshDomain,0,11,iter+1,0) + R = RHS - LHS*uN; + e(iter) = norm(R); + theta = 0.5; + while e(iter)>tol + + RG = obj.bcApplier.reducedToFullVectorDirichlet(R); + obj.plotSolution(RG,obj.meshDomain,0,1,iter,1) + RGsbd = obj.global2local(RG); + RGsbd = obj.scaleInterfaceValues(RGsbd); + uSbd = obj.EIFEM.apply(RGsbd); + % for jdom = 1:obj.nSubdomains(2) + % for idom =1:obj.nSubdomains(1) + % mesh = obj.meshSubDomain{jdom,idom}; + % ind = obj.nSubdomains(2)*(jdom-1)+idom; + % x = uSbd(:,ind); + % row = jdom; + % col = idom; + % obj.plotSolution(x,mesh,row,col,iter,0) + % end + % end + uInt = obj.computeInterfaceDisp(uSbd); + u = obj.smoothDisplacement(uSbd,uInt); + u = obj.bcApplier.fullToReducedVectorDirichlet(u); + + uN = uN + (1-theta)*u; + uplot = obj.bcApplier.reducedToFullVectorDirichlet(uN); + obj.plotSolution(uplot,obj.meshDomain,0,1,iter,0) + R = RHS - LHS*uN; + iter = iter+1; + e(iter) = norm(R); + + end + end + + function u = solver2(obj,LHS,RHS,refLHS) + pinvLHSref = pinv(full(refLHS)); + D = diag(diag(LHS)); + L = tril(LHS); + U = triu(LHS,1); +% pinvLHSref = inv(refLHS'*refLHS); + tol=1e-8; + iter=1; + uN = zeros(length(RHS),1); +% R = RHS - LHS*uN; +% Rsbd = obj.computeSubdomainResidual(R,iter); +% uSbd = obj.EIFEM.apply(Rsbd); +% u = obj.computeContinousField(uSbd); +% +% uplot = obj.bcApplier.reducedToFullVectorDirichlet(u); +% obj.plotSolution(uplot,obj.meshDomain,0,11,iter,0) +% uN = u; +% R = RHS - LHS*uN; +% Rsbd = obj.computeSubdomainResidual(R,iter); +% uDefSbd = obj.EIFEM.applySubdomainNeumannDeformational(Rsbd); +% uDef = obj.computeContinousField(uDefSbd); +% uRBsbd = obj.EIFEM.applySubdomainNeumannRigidBody(Rsbd); +% uRB = obj.computeContinousField(uRBsbd); +% uplot = obj.bcApplier.reducedToFullVectorDirichlet(uDef); +% % obj.plotSolution(uplot,obj.meshDomain,0,11,iter+1,0) +% uN = uN+uDef+uRB; +% uplot = obj.bcApplier.reducedToFullVectorDirichlet(uN); +% obj.plotSolution(uplot,obj.meshDomain,0,11,iter+1,0) + R = RHS - LHS*uN; + e(iter) = norm(R); + theta = 0.8; + while e(iter)>tol + RG = obj.bcApplier.reducedToFullVectorDirichlet(R); +% obj.plotSolution(RG,obj.meshDomain,0,1,iter,1) +% Rsbd = obj.computeSubdomainResidual(R,iter); +% upinv = pinvLHSref*Rsbd; +% upinv = obj.computeContinousField(upinv); +% uN = uN+upinv; + uplot = obj.bcApplier.reducedToFullVectorDirichlet(uN); +% obj.plotSolution(uplot,obj.meshDomain,0,1,iter,0) +% R = RHS - LHS*uN; + Rsbd = obj.computeSubdomainResidual(R,iter); + uSbd = obj.EIFEM.apply(Rsbd); + u = obj.computeContinousField(uSbd); + +% Rsbd = obj.computeSubdomainResidual(R,iter); +% uDefSbd = obj.EIFEM.applySubdomainNeumannDeformational(Rsbd); +% uDef = obj.computeContinousField(uDefSbd); +% uRBsbd = obj.EIFEM.applySubdomainNeumannRigidBody(Rsbd); +% uRB = obj.computeContinousField(uRBsbd); + +% uN = uN + (1-theta)*(u+uDef+uRB); + uN1 = uN + (u); + R = RHS - U*uN1; +% z = obj.applyILU(R); +% uN1 = uN1 + z; +% R = RHS - U*uN1; + uN = L\(R); +% uN = theta*uN + (1-theta)*L\(R); +% uplot = obj.bcApplier.reducedToFullVectorDirichlet(uN); +% obj.plotSolution(uplot,obj.meshDomain,0,1,iter,0) + R = RHS - LHS*uN; + iter = iter+1; + e(iter) = norm(R); + + end + end + + + function [x,residual,err,errAnorm] = preconditionedConjugateGradient(obj,A,B,xsol) + tol = 1e-8; + iter = 0; + n = length(B); + x = zeros(n,1); + r = B - A * x; +% r = obj.applyILU(r); +% r = obj.applyGaussSeidel(r); +% r = B - A * (x+0.2*z1); + % z = ModalTesting.applyPreconditioner(M,r); + RG = obj.bcApplier.reducedToFullVectorDirichlet(r); +% obj.plotSolution(RG,obj.meshDomain,0,1,iter,1) + RGsbd = obj.global2local(RG); + RGsbd = obj.scaleInterfaceValues(RGsbd); + uSbd = obj.EIFEM.apply(RGsbd); + uInt = obj.computeInterfaceDisp(uSbd); + u = obj.smoothDisplacement(uSbd,uInt); + z = obj.bcApplier.fullToReducedVectorDirichlet(u); +% z=r-z; +% z = z-A*obj.applyGaussSeidel(z); + zilu = obj.applyILU(r); + z=r-z-zilu; +% zILU = obj.applyILU(z); +% z=z-zILU; + % z=r-z; + p = z; + rzold = r' * z; + + + while norm(r) > tol + Ap = A * p; + alpha = rzold / (p' * Ap); + x = x + alpha * p; +% uplot = obj.bcApplier.reducedToFullVectorDirichlet(x); +% obj.plotSolution(uplot,obj.meshDomain,0,1,iter,0) + r = r - alpha * Ap; +% r = obj.applyILU(r); +% r = obj.applyGaussSeidel(r); +% r = B - A * (x+0.2*z1); +% RG = obj.bcApplier.reducedToFullVectorDirichlet(r); +% % obj.plotSolution(RG,obj.meshDomain,0,1,iter,1) +% RGsbd = obj.global2local(RG); +% RGsbd = obj.scaleInterfaceValues(RGsbd); + RGsbd = obj.computeSubdomainResidual(r,iter); + uSbd = obj.EIFEM.apply(RGsbd); +% uInt = obj.computeInterfaceDisp(uSbd); +% u = obj.smoothDisplacement(uSbd,uInt); +% z = obj.bcApplier.fullToReducedVectorDirichlet(u); + z = obj.computeContinousField(uSbd); + test(iter+1) = norm(z); + test2(iter+1) = max(z(2:2:end)); + z = r-z; +% z = z-A*obj.applyGaussSeidel(z); + zilu = obj.applyILU(r); + z=r-z-zilu; +% zILU = obj.applyILU(z); +% z=z-zILU; + % z = obj.applyPreconditioner(r); + rznew = r' * z; + %hasNotConverged = sqrt(rsnew) > tol; + + + p = z + (rznew / rzold) * p; + rzold = rznew; + + iter = iter + 1; + residual(iter) = norm(r); %Ax - b + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*A*(x-xsol); + + end + end + + + + function [x,residu,err,errAnorm] = conjugateGradient(obj,LHS,RHS,xsol) + tol = 1e-8; + iter = 1; + x = zeros(size(RHS)); + r = RHS - LHS * x; +% RG = obj.bcApplier.reducedToFullVectorDirichlet(r); +% % obj.plotSolution(RG,obj.meshDomain,0,1,iter,1) +% RGsbd = obj.global2local(RG); +% RGsbd = obj.scaleInterfaceValues(RGsbd); +% uSbd = obj.EIFEM.apply(RGsbd); +% uInt = obj.computeInterfaceDisp(uSbd); +% u = obj.smoothDisplacement(uSbd,uInt); +% u = obj.bcApplier.fullToReducedVectorDirichlet(u); +% uplot = obj.bcApplier.reducedToFullVectorDirichlet(u); +% obj.plotSolution(uplot,obj.meshDomain,0,1,iter,0) +% x = u; +% r = RHS - LHS * x; + p = r; + rsold = r' * r; + + + hasNotConverged = true; + + while hasNotConverged + Ap = LHS * p; + alpha = rsold / (p' * Ap); + x = x + alpha * p; + uplot = obj.bcApplier.reducedToFullVectorDirichlet(x); +% obj.plotSolution(uplot,obj.meshDomain,0,1,iter,0) + r = r - alpha * Ap; + rsnew = r' * r; + + hasNotConverged = norm(LHS*x - RHS) > tol; + + p = r + (rsnew / rsold) * p; + rsold = rsnew; + iter = iter + 1; + residu(iter) = norm(LHS*x - RHS); %Ax - b + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*LHS*(x-xsol); +% res = LHS*x - RHS; + + %conjugateGradient_Solver.plotSolution(x,mesh,bc,iter) + + %conjugateGradient_Solver.plotRes(res,mesh,bc,iter) + end + %save('residuConjugateZeros.mat', 'residu') + end + + function plotSolution(obj,x,mesh,row,col,iter,flag) + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end +% + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = obj.functionType; + xF = LagrangianFunction(s); +% xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + + end +end diff --git a/DD.flavia.msh b/DD.flavia.msh new file mode 100644 index 0000000000..1cc576e008 --- /dev/null +++ b/DD.flavia.msh @@ -0,0 +1,7142 @@ +#################################################### +################# FEM-MAT-OO v.1.0 ################# +#################################################### + +MESH "WORKPIECE" dimension 2 Elemtype Triangle Nnode 3 + +coordinates + 1 00000 00000 + 2 00000 4.16667e-02 + 3 00000 8.33333e-02 + 4 00000 1.25000e-01 + 5 00000 1.66667e-01 + 6 00000 2.08333e-01 + 7 00000 2.50000e-01 + 8 00000 2.91667e-01 + 9 00000 3.33333e-01 + 10 00000 3.75000e-01 + 11 00000 4.16667e-01 + 12 00000 4.58333e-01 + 13 00000 5.00000e-01 + 14 00000 5.41667e-01 + 15 00000 5.83333e-01 + 16 00000 6.25000e-01 + 17 00000 6.66667e-01 + 18 00000 7.08333e-01 + 19 00000 7.50000e-01 + 20 00000 7.91667e-01 + 21 00000 8.33333e-01 + 22 00000 8.75000e-01 + 23 00000 9.16667e-01 + 24 00000 9.58333e-01 + 25 00000 00001 + 26 4.08163e-02 00000 + 27 4.08163e-02 4.16667e-02 + 28 4.08163e-02 8.33333e-02 + 29 4.08163e-02 1.25000e-01 + 30 4.08163e-02 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-1.97772e+00 +-6.90015e-01 1.09530e+01 -1.18719e+00 +-6.56990e-01 8.62221e+00 -8.62244e-01 +-4.33009e-01 4.82919e+00 -1.46900e+00 + 8.02705e-02 2.85850e+00 -8.70431e-01 + 1.53152e+00 5.03481e+00 6.37735e-01 +-1.60899e-01 2.25236e-01 2.54205e-01 +-5.74809e-01 -4.45142e-01 2.71119e-01 + + + + + \ No newline at end of file diff --git a/DEF_Q4porL_1.mat b/DEF_Q4porL_1.mat new file mode 100644 index 0000000000..71e5434d2a Binary files /dev/null and b/DEF_Q4porL_1.mat differ diff --git a/DirichletNeumann.m b/DirichletNeumann.m new file mode 100644 index 0000000000..37b8705afd --- /dev/null +++ b/DirichletNeumann.m @@ -0,0 +1,365 @@ +classdef DirichletNeumann < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + meshDomain + boundaryConditions + material + meshReference + interfaceMeshReference + meshSubDomain + interfaceConnec + nSubdomains + ninterfaces + interfaceMeshSubDomain + globalMeshConnecSubDomain + interfaceMeshConnecSubDomain + subDomainContact + cornerNodes + quad + interfaceDof + + displacementFun + LHS + RHS + scale + end + + methods (Access = public) + + function obj = DirichletNeumann() + close all + obj.init(); + obj.createReferenceMesh(); + + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.meshReference; + m = MeshCreatorFromRVE(s); + [obj.meshDomain,obj.meshSubDomain,obj.interfaceConnec] = m.create(); + + + obj.createDisplacementFun(); + obj.interfaceDof = obj.computeLocalInterfaceDof; + + for idom=1:obj.nSubdomains(1) + obj.quad{idom} = Quadrature.set(obj.meshSubDomain{idom}.type); + obj.quad{idom}.computeQuadrature('QUADRATIC'); + obj.createDomainMaterial(idom); + obj.computeStiffnessMatrix(idom); + rawBC = obj.createRawBoundaryConditions(idom); + obj.boundaryConditions{idom} = obj.createBoundaryConditions(obj.meshSubDomain{idom},rawBC{idom},idom); + end + + obj.DirichletNeumannSolver(); + + % + + % % obj.obtainCornerNodes(); + % % fineMesh = MeshFromRVE + % obj.createSubDomainMeshes(); + % obj.createInterfaceSubDomainMeshes(); + % obj.createDomainMesh(); + + + % s.referenceMesh = obj.referenceMesh; + % mC = MeshCreatorFromSubmeshes(); + % obj.meshDomain = mC.mesh; + + % preconditioner = obj.createPreconditioner(mC.submeshes); + + obj.solveDomainProblem(); + + + + end + + function solveDomainProblem(obj) + s.mesh = obj.meshDomain; + s.bc = obj.boundaryConditions; + s.material = obj.material; + s.type = 'ELASTIC'; + s.scale = 'MACRO'; + s.dim = '2D'; + s.solverTyp = 'ITERATIVE'; + s.iterativeSolverTyp = 'PCG'; + s.preconditionerType = 'EIFEM'; + s.tol = 1e-6; + + fem = FEM.create(s); + fem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [2 1]; %nx ny + obj.scale = 'MACRO'; + end + + function createReferenceMesh(obj) + % filename = 'lattice_ex1'; + % a.fileName = filename; + % femD = FemDataContainer(a); + % mS = femD.mesh; + % bS = mS.createBoundaryMesh(); + % Generate coordinates + x1 = linspace(0,1,10); + x2 = linspace(0,1,10); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + + s.coord = coord(:,1:2); + s.connec = F; + mS = Mesh(s); + bS = mS.createBoundaryMesh(); + + obj.meshReference = mS; + obj.interfaceMeshReference = bS; + obj.ninterfaces = length(bS); + end + + function cMesh = createCoarseMesh(obj) + xmax = max(obj.meshReference.coord(:,1)); + xmin = min(obj.meshReference.coord(:,1)); + ymax = max(obj.meshReference.coord(:,2)); + ymin = min(obj.meshReference.coord(:,2)); + coord(1,1) = xmax; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymax; + coord(3,1) = xmin; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymin; + connec = [1 2 3 4]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh(s); + end + + function createDomainMaterial(obj,i) + % ngaus = 1; + % m = obj.meshSubDomain{i}; + obj.material{i} = obj.createMaterial(i); + end + + function L = computeReferenceMeshLength(obj) + coord = obj.meshReference.coord; + Lx = max(coord(:,1)); + Ly = max(coord(:,2)); + L = [Lx Ly]; + end + + function BC = createRawBoundaryConditions(obj,i) + + dirichletBc{1}.boundaryId=[1]; + dirichletBc{1}.dof{1}=[1,2]; + dirichletBc{1}.value{1}=[0,0]; + % newmanBc{1}.boundaryId=[4,1]; + % newmanBc{1}.dof{1}=2; + % newmanBc{1}.dof{2}=[1,2]; + % newmanBc{1}.value{1}=10; + % newmanBc{1}.value{2}=[0,0]; + newmanBc{1}=[]; + + dirichletBc{2}.boundaryId=[1]; + dirichletBc{2}.dof{1}=[1,2]; + % dirichletBc{2}.dof{2}=[1,2]; + dirichletBc{2}.value{1}=[0,0]; + % dirichletBc{2}.value{2}=[0,0]; + newmanBc{2}.boundaryId=2; + newmanBc{2}.dof{1}=[2]; + newmanBc{2}.value{1}=[-1]; + + + + nx= obj.nSubdomains(1); + % for i=1:nx + bM = obj.meshSubDomain{i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{i},newmanBc{i}); + BC{i}.dirichlet=dirichlet; + BC{i}.pointload=pointload; + % end + + + % obj.boundaryConditions = BC; + end + + function bc = createBoundaryConditions(obj,mesh,bcV,i) + dim = obj.getFunDims(i); + bcV.ndimf = dim.ndimf; + bcV.ndofs = dim.ndofs; + s.mesh = mesh; + s.scale = 'MACRO'; + s.bc = {bcV}; + s.ndofs = dim.ndofs; + bc = BoundaryConditions(s); + bc.compute(); + end + + function [dirichlet,pointload] = createBc(obj,boundaryMesh,dirchletBc,newmanBc) + + dirichlet = obj.createBoundaryCondition(boundaryMesh,dirchletBc); + if ~isempty(newmanBc) + pointload = obj.createBoundaryCondition(boundaryMesh,newmanBc); + else + pointload=[]; + end + end + + function cond = createBoundaryCondition(obj,bM,condition) + nbound = length(condition.boundaryId); + cond = zeros(1,3); + for ibound=1:nbound + % ncond = length(condition.dof(nbound,:)); + ncond = length(condition.dof{ibound}); + nodeId= reshape(unique(bM{condition.boundaryId(ibound)}.globalConnec),[],1); + nbd = length(nodeId); + condition.value{ibound} = condition.value{ibound}/nbd; + for icond=1:ncond + bdcond= [nodeId, repmat(condition.dof{ibound}(icond),[nbd,1]), repmat(condition.value{ibound}(icond),[nbd,1])]; + cond=[cond;bdcond]; + end + end + cond = cond(2:end,:); + end + + function material = createMaterial(obj,i) + I = ones(obj.meshSubDomain{i}.nelem,obj.quad{i}.ngaus); + s.ptype = 'ELASTIC'; + s.pdim = '2D'; + s.nelem = obj.meshSubDomain{i}.nelem; + s.mesh = obj.meshSubDomain{i}; + s.kappa = .9107*I; + s.mu = .3446*I; + mat = Material.create(s); + mat.compute(s); + material = mat; + end + + function createDisplacementFun(obj) + nx= obj.nSubdomains(1); + for i=1:nx + obj.displacementFun{i} = P1Function.create(obj.meshSubDomain{i}, obj.meshSubDomain{i}.ndim); + end + end + + function dim = getFunDims(obj,i) + d.ndimf = obj.displacementFun{i}.ndimf; + d.nnodes = size(obj.displacementFun{i}.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.meshDomain.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function computeStiffnessMatrix(obj,i) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = obj.meshSubDomain{i}; + s.fun = obj.displacementFun{i}; + s.material = obj.material{i}; + lhs = LHSintegrator.create(s); + obj.LHS{i} = lhs.compute(); + end + + function computeForces(obj,i) + s.type = 'Elastic'; + s.scale = obj.scale; + s.dim = obj.getFunDims(i); + s.BC = obj.boundaryConditions{i}; + s.mesh = obj.meshSubDomain{i}; + s.material = obj.material{i}; + % s.globalConnec = obj.displacementFun{i}.connec; + s.globalConnec = obj.meshSubDomain{i}.connec; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + R = RHSint.computeReactions(obj.LHS{i}); + % obj.variables.fext = rhs + R; + obj.RHS{i} = rhs+R; + end + + function interfaceDof = computeLocalInterfaceDof(obj) + nint = size(obj.interfaceConnec,2); + globaldof=0; + for i=1:nint + dofaux=0; + dim = obj.getFunDims(i); + nodesI = obj.interfaceConnec(:,i); + + for iunkn=1:dim.ndimf + DOF = dim.ndimf*(nodesI - 1) + iunkn; + DOF = DOF-globaldof; + dofaux= [dofaux; DOF]; + end + interfaceDof(:,i) = dofaux(2:end); + globaldof = globaldof + dim.ndofs; + end + end + + function DirichletNeumannSolver(obj) + tol=1e-8; + e=1; + theta = 3/4; + iter=1; + while e>tol + % for i=1:obj.nSubdomains(1) + obj.computeForces(2); + Kred = obj.boundaryConditions{2}.fullToReducedMatrix(obj.LHS{2}); + Fred = obj.boundaryConditions{2}.fullToReducedVector(obj.RHS{2}); + u{2} = Kred\Fred; + u{2} = obj.boundaryConditions{2}.reducedToFullVector(u{2}); + R = obj.RHS{2}-0*obj.LHS{2}*u{2}; + obj.plotSolution(R,obj.meshSubDomain{2}, 2,iter) + % obj.plotSolution(u{2},obj.meshSubDomain{2}, 2,iter) + + obj.computeForces(1); + R_int = obj.LHS{2}(obj.interfaceDof(:,2),:)*u{2}; + obj.RHS{1}(obj.interfaceDof(:,1)) = obj.RHS{1}(obj.interfaceDof(:,1)) - R_int; + + Kred = obj.boundaryConditions{1}.fullToReducedMatrix(obj.LHS{1}); + Fred = obj.boundaryConditions{1}.fullToReducedVector(obj.RHS{1}); + u{1} = Kred\Fred; + u{1} = obj.boundaryConditions{1}.reducedToFullVector(u{1}); + R = obj.RHS{1}-0*obj.LHS{1}*u{1}; + obj.plotSolution(R,obj.meshSubDomain{1}, 1,iter) + % obj.plotSolution(u{1},obj.meshSubDomain{1}, 1,iter) + + u1int = theta*u{2}(obj.interfaceDof(:,2)) + (1-theta)*u{1}(obj.interfaceDof(:,1)); + + for idof = 1: length(obj.interfaceDof(:,2)) + ind = find(obj.boundaryConditions{2}.dirichlet == obj.interfaceDof(idof,2)); + obj.boundaryConditions{2}.dirichlet_values(ind) = u1int(idof); + end + + e = norm(u1int-u{2}(obj.interfaceDof(:,2))); + + iter=iter+1; + % end + end + end + + function plotSolution(obj,x,mesh,domain,iter) + % xFull = bc.reducedToFullVector(x); + s.fValues = reshape(x,2,[])'; + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + xF = P1Function(s); + % xF.plot(); + xF.print(['domain',num2str(domain),'_',num2str(iter)],'Paraview') + fclose('all'); + end + + end +end diff --git a/EIFEMtesting.m b/EIFEMtesting.m new file mode 100644 index 0000000000..35188871cc --- /dev/null +++ b/EIFEMtesting.m @@ -0,0 +1,516 @@ +classdef EIFEMtesting < handle + + properties (Access = public) + + end + properties (Access = private) + meshDomain + boundaryConditions + bcApplier + LHS + RHS + + fileNameEIFEM + tolSameNode + + end + + + properties (Access = private) + nSubdomains + end + + methods (Access = public) + + function obj = EIFEMtesting() + close all + obj.init() + + mR = obj.createReferenceMesh(); + bS = mR.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR,discMesh] = obj.createMeshDomain(mR); + obj.meshDomain = mD; + [bC,dir] = obj.createBoundaryConditions(obj.meshDomain); + obj.boundaryConditions = bC; + obj.createBCapplier() + + [LHS,RHS,LHSf] = obj.createElasticProblem(); + obj.LHS = LHSf; + % LHS = 0.5*(LHS+LHS'); + + LHSf = @(x) LHS*x; + RHSf = RHS; + Usol = LHS\RHS; + Ufull = obj.bcApplier.reducedToFullVectorDirichlet(Usol); + %obj.plotSolution(Ufull,obj.meshDomain,1,1,0,obj.bcApplier,0) + + + Mid = @(r) r; + Meifem = obj.createEIFEMPreconditioner(mR,dir,iC,lG,bS,iCR,discMesh); + Milu = obj.createILUpreconditioner(LHS); + MgaussSeidel = obj.createGaussSeidelpreconditioner(LHS); + MJacobi = obj.createJacobipreconditioner(LHS); + Mmodal = obj.createModalpreconditioner(LHS); + % MdirNeu = obj.createDirichletNeumannPreconditioner(mR,dir,iC,lG,bS,obj.LHS,mSb); + + MiluCG = @(r,iter) Preconditioner.InexactCG(r,LHSf,Milu,RHSf); + + tol = 1e-8; + tic + x0 = zeros(size(RHSf)); +% [uCG,residualCG,errCG,errAnormCG] = PCG.solve(LHSf,RHSf,x0,Milu,tol,Usol,obj.meshDomain,obj.bcApplier); + toc + % [uCG,residualCG,errCG,errAnormCG] = RichardsonSolver.solve(LHSf,RHSf,x0,P,tol,0.1,Usol); + + tol = 1e-8; + + %Mmult = MdirNeu; + x0 = zeros(size(RHSf)); + r = RHSf - LHSf(x0); + Mmult = @(r,uk) Preconditioner.multiplePrec(r,MiluCG,Meifem,MiluCG,LHSf,RHSf,obj.meshDomain,obj.bcApplier,uk); +% Mmult = @(r) Preconditioner.multiplePrec(r,Mid,Meifem,Mid,LHSf,RHSf,obj.meshDomain,obj.bcApplier); +% zmult = Mmult(r); + +% zfull = obj.bcApplier.reducedToFullVectorDirichlet(zmult); + %obj.plotSolution(zfull,obj.meshDomaopenin,0,0,2,obj.bcApplier,0) + +% zeifem = Meifem(r); +% zfull = obj.bcApplier.reducedToFullVectorDirichlet(zeifem); + %obj.plotSolution(zfull,obj.meshDomain,0,0,1,obj.bcApplier,0) + % x0 = zmult; + tic + % tau = @(r,A) 1; + [uPCG,residualPCG,errPCG,errAnormPCG] = PCG.solve(LHSf,RHSf,x0,Mmult,tol,Usol,obj.meshDomain,obj.bcApplier); + % [uCG,residualPCG,errPCG,errAnormPCG] = RichardsonSolver.solve(LHSf,RHSf,x0,Mmult,tol,tau,Usol); + toc + + figure + plot(residualPCG,'linewidth',2) + hold on + plot(residualCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend({'CG + ILU-EIFEM-ILU','CG'},'FontSize',12) + xlabel('Iteration') + ylabel('Residual') + + figure + plot(errPCG,'linewidth',2) + hold on + plot(errCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('||error||_{L2}') + + figure + plot(errAnormPCG,'linewidth',2) + hold on + plot(errAnormCG,'linewidth',2) + set(gca, 'YScale', 'log') + legend('CG + EIFEM+ ILU(CG-90%-L2)','CG') + xlabel('Iteration') + ylabel('Energy norm') + + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [2 1]; %nx ny + %obj.fileNameEIFEM = 'DEF_Q4auxL_1.mat'; + obj.fileNameEIFEM = 'DEF_Q4porL_1.mat'; + obj.tolSameNode = 1e-10; + + end + + function [mD,mSb,iC,lG,iCR,discMesh] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR,discMesh] = m.create(); + end + + + function mS = createReferenceMesh(obj) + mS = obj.createStructuredMesh(); + % mS = obj.createMeshFromGid(); + % mS = obj.createEIFEMreferenceMesh(); + end + + + function mS = createMeshFromGid(obj) + filename = 'lattice_ex1'; + a.fileName = filename; + femD = FemDataContainer(a); + mS = femD.mesh; + end + + function mS = createStructuredMesh(obj) + %UnitMesh better + x1 = linspace(0,1,50); + x2 = linspace(0,1,50); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + bgMesh = Mesh.create(s); + + + % bgMesh = obj.createReferenceMesh(); + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + mS = uMesh.createInnerMesh(); + + + + % % Generate coordinates + % x1 = linspace(0,1,2); + % x2 = linspace(0,1,2); + % % Create the grid + % [xv,yv] = meshgrid(x1,x2); + % % Triangulate the mesh to obtain coordinates and connectivities + % [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + % + % s.coord = coord(:,1:2); + % s.connec = F; + % mS = Mesh.create(s); + end + + + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0.5; + sLS.yCoorCenter = 0.5; + sLS.radius = 0.2; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(~,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + + function mS = createEIFEMreferenceMesh(obj) + filename = obj.fileNameEIFEM; + load(filename); + s.coord = EIFEoper.MESH.COOR; + isMin = s.coord==min(s.coord); + isMax = s.coord==max(s.coord); + + s.connec = EIFEoper.MESH.CN; + mS = Mesh.create(s); + end + + function mCoarse = createCoarseMesh(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.createReferenceCoarseMesh(mR); + s.tolSameNode = obj.tolSameNode; + mRVECoarse = MeshCreatorFromRVE(s); + [mCoarse,~,~] = mRVECoarse.create(); + end + + + + function cMesh = createReferenceCoarseMesh(obj,mR) + xmax = max(mR.coord(:,1)); + xmin = min(mR.coord(:,1)); + ymax = max(mR.coord(:,2)); + ymin = min(mR.coord(:,2)); + coord(1,1) = xmin; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymin; + coord(3,1) = xmax; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymax; + % coord(1,1) = xmax; + % coord(1,2) = ymin; + % coord(2,1) = xmax; + % coord(2,2) = ymax; + % coord(3,1) = xmin; + % coord(3,2) = ymax; + % coord(4,1) = xmin; + % coord(4,2) = ymin; + connec = [1 2 3 4]; + connec = [2 3 4 1]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh.create(s); + end + + function createBCapplier(obj) + s.mesh = obj.meshDomain; + s.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(s); + end + + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + minx = min(obj.meshDomain.coord(:,1)); + maxx = max(obj.meshDomain.coord(:,1)); + miny = min(obj.meshDomain.coord(:,2)); + maxy = max(obj.meshDomain.coord(:,2)); + tolBound = obj.tolSameNode; + isLeft = @(coor) (abs(coor(:,1) - minx) < tolBound); + isRight = @(coor) (abs(coor(:,1) - maxx) < tolBound); + isBottom = @(coor) (abs(coor(:,2) - miny) < tolBound); + isTop = @(coor) (abs(coor(:,2) - maxy) < tolBound); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor);%| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + +% PL.domain = @(coor) isTop(coor); +% PL.direction = [2]; +% PL.value = [-0.1]; + PL.domain = @(coor) isRight(coor); + PL.direction = [1]; + PL.value = [0.1]; + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = [dirichletFun, dir]; + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.setFValues(fvalues); + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + + function [LHSr,RHSr,lhs] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + material = obj.createMaterial(obj.meshDomain); + [lhs,LHSr] = obj.computeStiffnessMatrix(obj.meshDomain,u,material); + RHSr = obj.computeForces(lhs,u); + end + + + function [LHS,LHSr] = computeStiffnessMatrix(obj,mesh,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.test = dispFun; + s.trial = dispFun; + s.material = mat; + s.quadratureOrder = 2; + lhs = LHSIntegrator.create(s); + LHS = lhs.compute(); + LHSr = obj.bcApplier.fullToReducedMatrixDirichlet(LHS); + end + + function RHS = computeForces(obj,stiffness,u) + s.type = 'Elastic'; + s.scale = 'MACRO'; + s.dim.ndofs = u.nDofs; + s.BC = obj.boundaryConditions; + s.mesh = obj.meshDomain; + RHSint = RHSIntegrator.create(s); + rhs = RHSint.compute(); + % Perhaps move it inside RHSint? + R = RHSint.computeReactions(stiffness); + RHS = rhs+R; + RHS = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + end + + function Meifem = createEIFEMPreconditioner(obj,mR,dir,iC,lG,bS,iCR,dMesh) + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + EIFEMfilename = obj.fileNameEIFEM; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + filename = EIFEMfilename; + s.RVE = TrainedRVE(filename); + s.mesh = obj.createCoarseMesh(mR); + s.DirCond = dir; + s.nSubdomains = obj.nSubdomains; + eifem = EIFEM(s); + + + ss.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + ss.EIFEMsolver = eifem; + ss.bcApplier = obj.bcApplier; + ss.dMesh = dMesh; + ss.type = 'EIFEM'; + eP = Preconditioner.create(ss); + Meifem = @(r,uk) eP.apply(r,uk); + end + + function Mdn = createDirichletNeumannPreconditioner(obj,mR,dir,iC,lG,bS,lhs,mSb,iCR) + s.ddDofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + s.DirCond = dir; + s.bcApplier = obj.bcApplier; + s.LHS = lhs; + s.subdomainMesh = mSb; + s.meshDomain = obj.meshDomain; + s.type = 'DirichletNeumann'; + M = Preconditioner.create(s); + Mdn = @(r) M.apply(r); + end + + function d = createDomainDecompositionDofManager(obj,iC,lG,bS,mR,iCR) + s.nSubdomains = obj.nSubdomains; + s.interfaceConnec = iC; + s.interfaceConnecReshaped = iCR; + s.locGlobConnec = lG; + s.nBoundaryNodes = bS{1}.mesh.nnodes; + s.nReferenceNodes = mR.nnodes; + s.nNodes = obj.meshDomain.nnodes; + s.nDimf = obj.meshDomain.ndim; + d = DomainDecompositionDofManager(s); + end + + function Milu = createILUpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'ILU'; + M = Preconditioner.create(s); + Milu = @(r) M.apply(r); + end + + function MgaussSeidel = createGaussSeidelpreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'GaussSeidel'; + M = Preconditioner.create(s); + MgaussSeidel = @(r) M.apply(r); + end + + function Mjacobi = createJacobipreconditioner(obj,LHS) + s.LHS = LHS; + s.type = 'Jacobi'; + M = Preconditioner.create(s); + Mjacobi = @(r) M.apply(r); + end + + function Mmodal = createModalpreconditioner(obj,LHS) + s.LHS = LHS; + s.nBasis = 8; + s.type = 'MODAL'; + M = Preconditioner.create(s); + Mmodal = @(r) M.apply(r); + end + + +% function plotSolution(obj,x,mesh,row,col,iter,flag) +% if nargin <7 +% flag =0; +% end +% % xFull = bc.reducedToFullVector(x); +% if size(x,2)==1 +% s.fValues = reshape(x,2,[])'; +% else +% s.fValues = x; +% end +% % +% +% s.mesh = mesh; +% s.fValues(:,end+1) = 0; +% s.ndimf = 2; +% s.order = 'P1'; +% xF = LagrangianFunction(s); +% % xF.plot(); +% if flag == 0 +% xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 1 +% xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 2 +% xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 3 +% xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% elseif flag == 4 +% xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') +% end +% fclose('all'); +% end + + + + end + + methods (Static, Access = public) + + + function J = computeTotalEnergy(x,A,b) + J = 0.5*x'*A(x)-b'*x; + end + + + function plotSolution(x,mesh,row,col,iter,bcApplier,flag) + if ~isempty(bcApplier) + x = bcApplier.reducedToFullVectorDirichlet(x); + end + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end + % + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = 'P1'; + xF = LagrangianFunction(s); + % xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + end + +end diff --git a/GC_100x100.mat b/GC_100x100.mat new file mode 100644 index 0000000000..4fed0a83d8 Binary files /dev/null and b/GC_100x100.mat differ diff --git a/GC_20x20.mat b/GC_20x20.mat new file mode 100644 index 0000000000..b7f2b0cac7 Binary files /dev/null and b/GC_20x20.mat differ diff --git a/GC_50x50.mat b/GC_50x50.mat new file mode 100644 index 0000000000..9c0ef3c957 Binary files /dev/null and b/GC_50x50.mat differ diff --git a/GD_20x20.mat b/GD_20x20.mat new file mode 100644 index 0000000000..4304467a2c Binary files /dev/null and b/GD_20x20.mat differ diff --git a/GiD.flavia.msh b/GiD.flavia.msh new file mode 100644 index 0000000000..f1f3e0a093 --- /dev/null +++ b/GiD.flavia.msh @@ -0,0 +1,41 @@ +#################################################### +################# FEM-MAT-OO v.1.0 ################# +#################################################### + +MESH "WORKPIECE" dimension 2 Elemtype Triangle Nnode 3 + +coordinates + 1 00000 00000 + 2 1.00000e-02 1.00000e-02 + 3 00000 2.00000e-02 + 4 2.00000e-02 00000 + 5 2.00000e-02 2.00000e-02 + 6 1.00000e-02 3.00000e-02 + 7 3.00000e-02 1.00000e-02 + 8 00000 4.00000e-02 + 9 4.00000e-02 00000 + 10 3.00000e-02 3.00000e-02 + 11 4.00000e-02 2.00000e-02 + 12 2.00000e-02 4.00000e-02 + 13 4.00000e-02 4.00000e-02 +end coordinates + +elements + 1 5 2 4 1 + 2 3 2 5 1 + 3 1 2 3 1 + 4 4 2 1 1 + 5 12 6 5 1 + 6 8 6 12 1 + 7 3 6 8 1 + 8 5 6 3 1 + 9 11 7 9 1 + 10 5 7 11 1 + 11 4 7 5 1 + 12 9 7 4 1 + 13 13 10 11 1 + 14 12 10 13 1 + 15 5 10 12 1 + 16 11 10 5 1 +end elements + diff --git a/GiD.flavia.res b/GiD.flavia.res new file mode 100644 index 0000000000..0287d96ec3 --- /dev/null +++ b/GiD.flavia.res @@ -0,0 +1,26 @@ +GiD Post Results File 1.0 +GaussPoints "Gauss Points" Elemtype Triangle +Number of Gauss Points: 1 +Nodes not included +Natural Coordinates: given + 3.33333e-01 3.33333e-01 +End GaussPoints + +Result "fValues" "FunResults" 0 Vector OnNodes +ComponentNames "x1", "x2" +Values + 1 00000 1.00000e+01 + 2 00000 1.00000e+01 + 3 00000 1.00000e+01 + 4 00000 1.00000e+01 + 5 00000 00010 + 6 00000 1.00000e+01 + 7 00000 1.00000e+01 + 8 00000 00010 + 9 00000 1.00000e+01 +10 00000 1.00000e+01 +11 00000 1.00000e+01 +12 00000 1.00000e+01 +13 00000 1.00000e+01 +End Values + diff --git a/ModalTesting.m b/ModalTesting.m new file mode 100644 index 0000000000..30763f4e26 --- /dev/null +++ b/ModalTesting.m @@ -0,0 +1,627 @@ +classdef ModalTesting < handle + + properties (Access = public) + + end + + properties (Access = private) + nDimf + mesh + bMesh + nbound + boundaryConditions + material + quad + basisFvalues + basisVec + eigenVec + functionType + nbasis + Kmodal + Mmodal + D + L + Lt + Kred + Lchol + RBdomain + RBboundary + interfaceModes + interfaceFunTyp + phiB + psi + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = ModalTesting() + close all; + obj.init() + obj.mesh = obj.createMesh(); + obj.bMesh = obj.mesh.createBoundaryMesh(); + obj.nbound = size(obj.bMesh); + rawBc = obj.createRawBoundaryConditions(); + obj.boundaryConditions = obj.createBoundaryConditions(rawBc); + obj.quad = Quadrature.set(obj.mesh.type); + obj.quad.computeQuadrature('QUADRATIC'); + obj.material = obj.createMaterial(); + + dispFun = P1Function.create(obj.mesh, obj.nDimf); + + K = obj.computeStiffnessMatrix(obj.mesh,obj.material,dispFun); + obj.Kred = obj.boundaryConditions.fullToReducedMatrix(K); + % R = sprand((obj.Kred)); + % obj.Kred=0.5*(R'*R); + obj.D = diag(diag(obj.Kred)); + obj.L = tril(obj.Kred,-1); + obj.Lt= obj.L'; +% obj.Lchol=ichol(obj.Kred); + + M = obj.computeMassMatrix(obj.mesh,dispFun); + Mred = obj.boundaryConditions.fullToReducedMatrix(M); + + RHS = obj.createRHS(obj.mesh,dispFun,obj.boundaryConditions); + Fext = RHS.compute(); + Fred = obj.boundaryConditions.fullToReducedVector(Fext); + + x=obj.Kred\Fred; + + + [obj.basisFvalues,obj.basisVec,obj.eigenVec] = obj.computeBasis(obj.Kred); + + modalFun = ModalFunction.create(obj.mesh,obj.basisFvalues,obj.functionType); + + LHSK = obj.createLHSstiffnessGlobal(obj.mesh,obj.quad,obj.material,modalFun); + obj.Kmodal = LHSK.compute(); + % LHSM = obj.createLHSmassGlobal(obj.mesh,obj.quad,obj.material,modalFun); + % obj.Mmodal = LHSM.compute(); + + % precond = obj.createModalPreconditioner(); + +% [xCG,residualCG,errCG,errACG] = obj.conjugateGradient(obj.Kred,Fred,x); + +% CG.x = xCG; +% CG.residual = residualCG; +% CG.err = errCG; +% CG.errA = errACG; + +% [xPCG,residualPCG,errPCG,errAPCG] = obj.preconditionedConjugateGradient(obj.Kred,Fred,x); + +% PCGbasis20.x = xPCG; +% PCGbasis20.residual = residualPCG; +% PCGbasis20.err = errPCG; +% PCGbasis20.errA = errAPCG; + + obj.computeBasisRom(); + [Hhat,H,G,T,That] = computeEifemMat(obj); + nphi = obj.phiB{1}.nbasis; + npsi = obj.psi{1}.nbasis; + nrb = obj.RBboundary{1}.nbasis; + A = [ obj.Kmodal zeros(nphi,nrb) -Hhat -H ; + zeros(nrb,nphi) zeros(nrb,nrb) -G zeros(nrb,npsi) ; + Hhat' G' zeros(nrb,nrb) zeros(nrb,npsi) ; + H' zeros(npsi,nrb) zeros(npsi,nrb) zeros(npsi,npsi)]; + + b = zeros(size(A(:,1),1),obj.interfaceModes{1}.nbasis); + rv = That*eye(obj.interfaceModes{1}.nbasis,obj.interfaceModes{1}.nbasis); + psiv = T*eye(obj.interfaceModes{1}.nbasis,obj.interfaceModes{1}.nbasis); + b(nphi+nrb+1:end,:) = [rv;psiv]; + x = A\b; + kcoarse = x(nphi+nrb+1:end,:); + basis = cell2mat(obj.basisVec); + Udef = basis*inv(H)*T; + for i = 1:3 + p1test=obj.RBdomain.basisFunctions{i}.project('P1'); + RB(:,i)=reshape(p1test.fValues',[],1); + end +% Urb = obj.RBdomain*inv(G)*(That-Hhat*inv(H)*T); + Urb = RB*inv(G)*(That-Hhat'*inv(H)*T); + kcoarse = (Udef')*K*Udef; + + rom.kcoarse = kcoarse; + rom.Udef = Udef; + rom.Urb = Urb; + rom.ndimf = dispFun.ndimf; + rom.mesh = obj.mesh; +% rom.basis = basis; + + save("testEIFEM1.mat","rom") + + % ModalTesting.plotRes(residualCG,residualPCG,errCG,errPCG,errACG,errAPCG) + + + + end + + end + + methods (Access = private) + + function init(obj) + obj.nDimf = 2; + obj.nbasis = 5; + funTyp='P1'; + for i=1:obj.nbasis + obj.functionType{i}=funTyp; + end + intFunTyp='P1'; + for i=1:4*obj.nDimf + obj.interfaceFunTyp{i}=intFunTyp; + end + + + end + + + function bc = createRawBoundaryConditions(obj) + dirichletNodes = abs(obj.mesh.coord(:,1)-0) < 1e-12; + rightSide = max(obj.mesh.coord(:,1)); + isInRight = abs(obj.mesh.coord(:,1)-rightSide)< 1e-12; + isInMiddleEdge = abs(obj.mesh.coord(:,2)-0.5) < 0.1; + forceNodes = isInRight & isInMiddleEdge; + forceNodes = isInRight; + nodes = 1:obj.mesh.nnodes; + bcDir = [nodes(dirichletNodes)';nodes(dirichletNodes)']; + % bcDir = [nodes(dirichletNodes)']; + + nodesdir=size(nodes(dirichletNodes),2); + bcDir(1:nodesdir,end+1) = 1; + bcDir(nodesdir+1:end,end) = 2; + bcDir(:,end+1)=0; + bc.dirichlet = bcDir; + bc.pointload(:,1) = nodes(forceNodes); + bc.pointload(:,2) = 2; + bc.pointload(:,3) = -1/length(nodes(forceNodes)); + end + + function bc = createBoundaryConditions(mesh,bcV) + dim = getFunDims(mesh); + bcV.ndimf = dim.ndimf; + bcV.ndofs = dim.ndofs; + s.mesh = mesh; + s.scale = 'MACRO'; + s.bc = {bcV}; + s.ndofs = dim.ndofs; + bc = BoundaryConditions(s); + bc.compute(); + end + + function dim = getFunDims(obj) + s.fValues = obj.mesh.coord; + s.mesh = obj.mesh; + disp = P1Function(s); + d.ndimf = disp.ndimf; + d.nnodes = size(disp.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function material = createMaterial(obj) + I = ones(obj.mesh.nelem,obj.quad.ngaus); + s.ptype = 'ELASTIC'; + s.pdim = '2D'; + s.nelem = obj.mesh.nelem; + s.mesh = obj.mesh; + s.kappa = .9107*I; + s.mu = .3446*I; + mat = Material.create(s); + mat.compute(s); + material = mat; + end + + function [basis,basisVec,eigenVec] = computeBasis(obj,K) + [eigenVec,D]=eigs(K,obj.nbasis,'smallestabs'); + % [eigenVec2,D]=eigs(K,obj.nbasis/2); + % eigenVec=[eigenVec eigenVec2]; + psi = K*eigenVec; + + for i = 1:size(eigenVec,2) + b = eigenVec(:,i); + b1 = obj.boundaryConditions.reducedToFullVector(b); + basis{i} = reshape(b1,2,[])'; + basisVec{i}= b1; + a = psi(:,i); + a1=obj.boundaryConditions.reducedToFullVector(a); + psiD{i}=reshape(a1,2,[])'; + % bC{i} = b; + + % sF.fValues = reshape(b1,2,[])'; + % sF.mesh = mesh; + % bF{i} =P1Function(sF); + % bF.plot + end + + end + + function M = createModalPreconditioner(obj) + for i=1:obj.nbasis + basisVecRed(:,i)=obj.boundaryConditions.fullToReducedVector(obj.basisVec{i}); + end + M{1} = basisVecRed'; + M{2} = inv(obj.Kmodal); + M{3} = basisVecRed; + end + + function [x,residual,err,errAnorm] = preconditionedConjugateGradient(obj,A,B,xsol) + tol = 1e-6; + n = length(B); + x = zeros(n,1); + r = B - A * x; + % z = ModalTesting.applyPreconditioner(M,r); + z = obj.applyPreconditioner(r); + % z=r-z; + p = z; + rzold = r' * z; + iter = 0; + + hasNotConverged = true; + + while hasNotConverged + Ap = A * p; + alpha = rzold / (p' * Ap); + x = x + alpha * p; + r = r - alpha * Ap; + % z = ModalTesting.applyPreconditioner(M,r); + z = obj.applyPreconditioner(r); + rznew = r' * z; + + %hasNotConverged = sqrt(rsnew) > tol; + hasNotConverged = norm(r) > tol; + + p = z + (rznew / rzold) * p; + rzold = rznew; + iter = iter + 1; + residual(iter) = norm(r); %Ax - b + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*A*(x-xsol); + end + end + % + function z = applyPreconditioner(obj,r) + lhs=obj.Kmodal; + phi=obj.eigenVec; + r1=phi'*r; + zP=lhs\r1; + z=phi*zP; + %z = r; + z = r-z; + end + % + % function z = applyPreconditioner(obj,r) + % w=1; + % DF = obj.D-w*obj.L; + % DR = obj.D-w*obj.Lt; + % z=mldivide(DF,r); + % r=obj.D*z; + % z=mldivide(DR,r); + % z=w*(2-w)*z; + % end + % + % function z = applyPreconditioner(obj,r) + % z=obj.D\r; + % end + % + % function z = applyPreconditioner(obj,r) + % Lchol=obj.Lchol; + % z = Lchol\r; + % z = (Lchol')\z; + % end + + + + function computeBasisRom(obj) + obj.RBdomain = obj.createRBfun(obj.mesh); + obj.RBboundary = obj.createRBfun(obj.bMesh); + obj.phiB = obj.createBoundaryDefFun(); + obj.psi = obj.phiB; + obj.interfaceModes = obj.computeBasisInterface(); + end + + function modes = computeBasisInterface(obj) + cCoord = obj.getFictitiousCornerCoord(); + lx = max(cCoord(:,1))-min(cCoord(:,1)); + ly = max(cCoord(:,2))-min(cCoord(:,2)); + cCoord = [ cCoord(end,:); cCoord]; + for ibound=1:size(obj.bMesh,1) + ibasis=1; + for icorner=2:size(cCoord,1) + x = obj.bMesh{ibound}.mesh.coord; + for idim=1:obj.nDimf + f=zeros(size(x)); + + if x(2,1) == cCoord(icorner,1) + f(:,idim) = 1-(abs((x(:,2)-cCoord(icorner,2)))/ly); + basis{ibasis}=f; + ibasis=ibasis+1; + % imodes{ibound}{icorner,idim}= ModalFunction.create(obj.bMesh{ibound}.mesh,f,obj.interfaceFunTyp); + % f(:,2) = zeros(size(x(:,1))); + elseif x(2,2) == cCoord(icorner,2) + % f(:,2) = zeros(size(x(:,1))); + f(:,idim) = 1-(abs((x(:,1)-cCoord(icorner,1)))/lx); + basis{ibasis}=f; + ibasis=ibasis+1; + % imodes{ibound}{icorner,idim}= ModalFunction.create(obj.bMesh{ibound}.mesh,f,obj.interfaceFunTyp); + else + basis{ibasis}=f; + ibasis=ibasis+1; + % imodes{ibound}{icorner,idim}= ModalFunction.create(obj.bMesh{ibound}.mesh,f,obj.interfaceFunTyp); + + end + end + + end + modes{ibound}= ModalFunction.create(obj.bMesh{ibound}.mesh,basis,obj.interfaceFunTyp); + end + + end + + function coord = getFictitiousCornerCoord(obj) + xmax = max(obj.mesh.coord(:,1)); + xmin = min(obj.mesh.coord(:,1)); + ymax = max(obj.mesh.coord(:,2)); + ymin = min(obj.mesh.coord(:,2)); + coord(1,1) = xmax; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymax; + coord(3,1) = xmin; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymin; + + end + + function defFun = createBoundaryDefFun(obj) + for imesh=1:obj.nbound + nodes = unique(obj.bMesh{imesh}.globalConnec); + + for ibasis=1:length(obj.basisFvalues) + basisb{ibasis} = obj.basisFvalues{ibasis}(nodes,:); + end + + meshb = obj.bMesh{imesh}.mesh; + defFun{imesh} = ModalFunction.create(meshb,basisb,obj.functionType); + end + end + + function [Hhat,H,G,T,That] = computeEifemMat(obj) + Hhat = obj.computeHhat(); + H = obj.computeH(); + G = obj.computeG(); + T = obj.computeT(); + That = obj.computeThat(); + + end + + function Hhat = computeHhat(obj) + Hhat = zeros(obj.phiB{1}.nbasis,obj.RBboundary{1}.nbasis); + for ibound=1:obj.nbound + sL.test = obj.phiB{ibound}; + sL.trial = obj.RBboundary{ibound}; + sL.mesh = obj.bMesh{ibound}.mesh; + sL.quadratureOrder = obj.quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + Hhat = Hhat + lhs2{ibound}.compute(); +% Hhat{ibound} = lhs2{ibound}.compute(); + end + end + + function H = computeH(obj) + H = zeros(obj.psi{1}.nbasis,obj.phiB{1}.nbasis); + for ibound=1:obj.nbound + sL.test = obj.psi{ibound}; + sL.trial = obj.phiB{ibound}; + sL.mesh = obj.bMesh{ibound}.mesh; + sL.quadratureOrder = obj.quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + H = H + lhs2{ibound}.compute(); +% H{ibound} = lhs2{ibound}.compute(); + end + end + + function G = computeG(obj) + G = zeros(obj.RBboundary{1}.nbasis,obj.RBboundary{1}.nbasis); + for ibound=1:obj.nbound + sL.test = obj.RBboundary{ibound}; + sL.trial = obj.RBboundary{ibound}; + sL.mesh = obj.bMesh{ibound}.mesh; + sL.quadratureOrder = obj.quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + G = G + lhs2{ibound}.compute(); +% G{ibound} = lhs2{ibound}.compute(); + end + end + + function T = computeT(obj) + T = zeros(obj.psi{1}.nbasis,obj.interfaceModes{1}.nbasis); + for ibound=1:obj.nbound + sL.test = obj.psi{ibound}; + sL.trial = obj.interfaceModes{ibound}; + sL.mesh = obj.bMesh{ibound}.mesh; + sL.quadratureOrder = obj.quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + T = T + lhs2{ibound}.compute(); +% T{ibound} = lhs2{ibound}.compute(); + end + end + + function That = computeThat(obj) + That = zeros(obj.RBboundary{1}.nbasis,obj.interfaceModes{1}.nbasis); + for ibound=1:obj.nbound + sL.test = obj.RBboundary{ibound}; + sL.trial = obj.interfaceModes{ibound}; + sL.mesh = obj.bMesh{ibound}.mesh; + sL.quadratureOrder = obj.quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + That = That + lhs2{ibound}.compute(); +% T{ibound} = lhs2{ibound}.compute(); + end + end + + + end + + methods (Access = public, Static) + function mesh = createMesh() + % file = 'CantileverBeam_Triangle_Linear'; + % % file = 'Cantileverbeam_Quadrilateral_Bilinear'; + % a.fileName = file; + % s = FemDataContainer(a); + % mesh = s.mesh; + +% filename = 'lattice_ex1'; +% a.fileName = filename; +% femD = FemDataContainer(a); +% mesh = femD.mesh; +% bS = mS.createBoundaryMesh(); + + + % Generate coordinates + x1 = linspace(0,2,50); + x2 = linspace(0,1,50); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + + s.coord = coord(:,1:2); + s.connec = F; + mesh = Mesh(s); + end + + function k = computeStiffnessMatrix(mesh,material,displacementFun) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.fun = displacementFun; + % s.test = displacementFun; + % s.trial = displacementFun; + s.material = material; + lhs = LHSintegrator.create(s); + k = lhs.compute(); + end + + function m = computeMassMatrix(mesh,displacementFun) + s.type = 'MassMatrix'; + s.mesh = mesh; + s.test = displacementFun; + s.trial = displacementFun; + s.quadratureOrder = 'QUADRATIC'; + lhs = LHSintegrator.create(s); + m = lhs.compute(); + end + + function RHS = createRHS(mesh,dispFun,boundaryConditions) + dim.ndimf = dispFun.ndimf; + dim.nnodes = size(dispFun.fValues, 1); + dim.ndofs = dim.nnodes*dim.ndimf; + dim.nnodeElem = mesh.nnodeElem; % should come from interp.. + dim.ndofsElem = dim.nnodeElem*dim.ndimf; + c.dim=dim; + c.mesh=mesh; + c.BC = boundaryConditions; + RHS = RHSintegrator_ElasticMacro(c); + end + + function LHSglobal = createLHSstiffnessGlobal(mesh,quad,material,modalFun) + sL.material = material; + sL.test = modalFun; + sL.trial = modalFun; + sL.mesh = mesh; + sL.quadratureOrder = quad.order; + LHSglobal = LHS_integratorStiffnessGlobal(sL); + end + + function LHSglobal = createLHSmassGlobal(mesh,quad,material,modalFun) + sL.material = material; + sL.test = modalFun; + sL.trial = modalFun; + sL.mesh = mesh; + sL.quadratureOrder = quad.order; + LHSglobal = LHS_integratorMassGlobal(sL); + end + + function [x,residual,err,errAnorm] = conjugateGradient(LHS,RHS,xsol) + tol = 1e-6; + n = length(RHS); + x = zeros(n,1); + r = RHS - LHS * x; + p = r; + rsold = r' * r; + iter = 0; + + hasNotConverged = true; + + while hasNotConverged + Ap = LHS * p; + alpha = rsold / (p' * Ap); + x = x + alpha * p; + r = r - alpha * Ap; + rsnew = r' * r; + + %hasNotConverged = sqrt(rsnew) > tol; + hasNotConverged = norm(LHS*x - RHS) > tol; + + p = r + (rsnew / rsold) * p; + rsold = rsnew; + iter = iter + 1; + residual(iter) = norm(LHS*x - RHS); %Ax - b + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*LHS*(x-xsol); + f(iter)= 0.5*(x'*LHS*x)-RHS'*x; + end + end + + function plotRes(residualCG,residualPCG,errCG,errPCG,errACG,errAPCG) + plot(residualCG); hold on; plot(residualPCG); + set(gca, 'YScale', 'log') + legend('GD','PCG (ssor)') + xlabel('iteration') + ylabel('residual') + + figure + plot(errCG); hold on; plot(errPCG) + set(gca, 'YScale', 'log') + legend('GD','PCG (ssor)') + xlabel('iteration') + ylabel('||x-x*||') + + figure + plot(errACG); hold on; plot(errAPCG) + set(gca, 'YScale', 'log') + legend('GD','PCG (ssor)') + xlabel('iteration') + ylabel('||x-x*||_{A}') + end + + function rbFun = createRBfun(mesh) + %domain + if size(mesh,1)==1 + centroid = [sum(mesh.coord(:,1))/mesh.nnodes,sum(mesh.coord(:,2))/mesh.nnodes]; + rbFun = RigidBodyFunction.create(mesh,centroid); + else + %boundary + for i=1:size(mesh,1) + meshb = mesh{i}.mesh; + centroid = [sum(meshb.coord(:,1))/meshb.nnodes,sum(meshb.coord(:,2))/meshb.nnodes]; + rbFun{i} = RigidBodyFunction.create(meshb,centroid); + end + end + end + + % function v = applyPreconditioner(M,x) + % for i = 1:size(M,2) + % x=M{i}*x; + % end + % v = x; + % end + + + end + +end \ No newline at end of file diff --git a/NeumannNeumann.m b/NeumannNeumann.m new file mode 100644 index 0000000000..da2c8f1896 --- /dev/null +++ b/NeumannNeumann.m @@ -0,0 +1,503 @@ +classdef NeumannNeumann < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + meshDomain + boundaryConditions + material + meshReference + interfaceMeshReference + meshSubDomain + interfaceConnec + nSubdomains + ninterfaces + interfaceMeshSubDomain + globalMeshConnecSubDomain + interfaceMeshConnecSubDomain + subDomainContact + cornerNodes + quad + interfaceDof + + displacementFun + LHS + RHS + scale + theta + Fext + weight + interfaceNeumanDof + interfaceDirichletDof + end + + methods (Access = public) + + function obj = NeumannNeumann() + close all + obj.init(); + obj.createReferenceMesh(); + + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.meshReference; + m = MeshCreatorFromRVE(s); + [obj.meshDomain,obj.meshSubDomain,obj.interfaceConnec] = m.create(); + + + obj.createDisplacementFun(); + obj.interfaceDof = obj.computeLocalInterfaceDof(); + obj.computeSubdomainLHS(); + + obj.createSubdomainBoundaryConditions(); + + obj.interfaceNeumanDof = obj.identifyNeumanInterfaceDof(); + obj.interfaceDirichletDof = obj.identifyDirichletInterfaceDof(); + + obj.NeumannNeumannSolver(); + + +% obj.solveDomainProblem(); + + + + end + + function solveDomainProblem(obj) + s.mesh = obj.meshDomain; + s.bc = obj.boundaryConditions; + s.material = obj.material; + s.type = 'ELASTIC'; + s.scale = 'MACRO'; + s.dim = '2D'; + s.solverTyp = 'ITERATIVE'; + s.iterativeSolverTyp = 'PCG'; + s.preconditionerType = 'EIFEM'; + s.tol = 1e-6; + + fem = FEM.create(s); + fem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [2 1]; %nx ny + obj.scale = 'MACRO'; + obj.weight = 0.5; + obj.theta = 0.1; + end + + function createReferenceMesh(obj) + % filename = 'lattice_ex1'; + % a.fileName = filename; + % femD = FemDataContainer(a); + % mS = femD.mesh; + % bS = mS.createBoundaryMesh(); + % Generate coordinates + x1 = linspace(0,1,12); + x2 = linspace(0,0.5,12); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + + s.coord = coord(:,1:2); + s.connec = F; + mS = Mesh(s); + bS = mS.createBoundaryMesh(); + + obj.meshReference = mS; + obj.interfaceMeshReference = bS; + obj.ninterfaces = length(bS); + end + + function createDomainMaterial(obj,i) + % ngaus = 1; + % m = obj.meshSubDomain{i}; + obj.material{i} = obj.createMaterial(i); + end + + function BC = createRawBoundaryConditionsDirichlet(obj,i) + + dirichletBc{1}.boundaryId=[1,2]; + dirichletBc{1}.dof{1}=[1,2]; + dirichletBc{1}.dof{2}=[1,2]; + dirichletBc{1}.value{1}=[0,0]; + dirichletBc{1}.value{2}=[0,0]; + +% newmanBc{1}=[]; + newmanBc{1}.boundaryId=4; + newmanBc{1}.dof{1}=[2]; + newmanBc{1}.value{1}=[-1]; + + dirichletBc{2}.boundaryId=[1,2]; + dirichletBc{2}.dof{1}=[1,2]; + dirichletBc{2}.dof{2}=[1,2]; + dirichletBc{2}.value{1}=[0,0]; + dirichletBc{2}.value{2}=[0,0]; + +% newmanBc{2}=[]; + newmanBc{2}.boundaryId=4; + newmanBc{2}.dof{1}=[2]; + newmanBc{2}.value{1}=[-1]; + + bM = obj.meshSubDomain{i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{i},newmanBc{i}); + BC.dirichlet=dirichlet; + BC.pointload=pointload; + + end + + function BC = createRawBoundaryConditionsNeumann(obj,i) + + dirichletBc{1}.boundaryId=[1]; + dirichletBc{1}.dof{1}=[1,2]; + dirichletBc{1}.value{1}=[0,0]; + +% newmanBc{1}=[]; + newmanBc{1}.boundaryId=[2]; +% newmanBc{1}.dof{1}=[2]; +% newmanBc{1}.value{1}=[-1]; + newmanBc{1}.dof{1}=[1,2]; + newmanBc{1}.value{1}=[0,0]; + + dirichletBc{2}.boundaryId=[2]; + dirichletBc{2}.dof{1}=[1,2]; + dirichletBc{2}.value{1}=[0,0]; + + newmanBc{2}.boundaryId=[1]; +% newmanBc{2}.dof{1}=[2]; +% newmanBc{2}.value{1}=[-1]; + newmanBc{2}.dof{1}=[1,2]; + newmanBc{2}.value{1}=[0,0]; + + + bM = obj.meshSubDomain{i}.createBoundaryMesh(); + [dirichlet,pointload] = obj.createBc(bM,dirichletBc{i},newmanBc{i}); + BC.dirichlet=dirichlet; + BC.pointload=pointload; + + end + + function [dirichlet,pointload] = createBc(obj,boundaryMesh,dirchletBc,newmanBc) + dirichlet = obj.createBoundaryCondition(boundaryMesh,dirchletBc); + if ~isempty(newmanBc) + pointload = obj.createBoundaryCondition(boundaryMesh,newmanBc); + else + pointload=[]; + end + end + + function cond = createBoundaryCondition(obj,bM,condition) + nbound = length(condition.boundaryId); + cond = zeros(1,3); + for ibound=1:nbound + % ncond = length(condition.dof(nbound,:)); + ncond = length(condition.dof{ibound}); + nodeId= reshape(unique(bM{condition.boundaryId(ibound)}.globalConnec),[],1); + nbd = length(nodeId); + condition.value{ibound} = condition.value{ibound}/nbd; + for icond=1:ncond + bdcond= [nodeId, repmat(condition.dof{ibound}(icond),[nbd,1]), repmat(condition.value{ibound}(icond),[nbd,1])]; + cond=[cond;bdcond]; + end + end + cond = cond(2:end,:); + end + + function bc = createBoundaryConditions(obj,mesh,bcV,i) + dim = obj.getFunDims(obj.displacementFun{i}); + bcV.ndimf = dim.ndimf; + bcV.ndofs = dim.ndofs; + s.mesh = mesh; + s.scale = 'MACRO'; + s.bc = {bcV}; + s.ndofs = dim.ndofs; + bc = BoundaryConditions(s); + bc.compute(); + end + + function createSubdomainBoundaryConditions(obj) + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsDirichlet(idom); + obj.boundaryConditions.dirichletStep{idom} = obj.createBoundaryConditions(obj.meshSubDomain{idom},rawBC,idom); + end + + for idom=1:obj.nSubdomains(1) + rawBC = obj.createRawBoundaryConditionsNeumann(idom); + obj.boundaryConditions.neumannStep{idom} = obj.createBoundaryConditions(obj.meshSubDomain{idom},rawBC,idom); + end + end + + + function material = createMaterial(obj,i) + I = ones(obj.meshSubDomain{i}.nelem,obj.quad{i}.ngaus); + s.ptype = 'ELASTIC'; + s.pdim = '2D'; + s.nelem = obj.meshSubDomain{i}.nelem; + s.mesh = obj.meshSubDomain{i}; + s.kappa = .9107*I; + s.mu = .3446*I; + mat = Material.create(s); + mat.compute(s); + material = mat; + end + + function createDisplacementFun(obj) + nx = obj.nSubdomains(1); + ny = obj.nSubdomains(2); + for i=1:ny + for j=1:nx + obj.displacementFun{i,j} = P1Function.create(obj.meshSubDomain{i,j}, obj.meshSubDomain{i,j}.ndim); + end + end + + end + + function dim = getFunDims(obj,disp) + d.ndimf = disp.ndimf; + d.nnodes = size(disp.fValues, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.meshDomain.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function computeStiffnessMatrix(obj,i) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = obj.meshSubDomain{i}; + s.fun = obj.displacementFun{i}; + s.material = obj.material{i}; + lhs = LHSintegrator.create(s); + obj.LHS{i} = lhs.compute(); + end + + function [Fext,RHS] = computeForces(obj,boundaryConditions,material,mesh,disp,LHS) + s.type = 'Elastic'; + s.scale = obj.scale; + s.dim = obj.getFunDims(disp); + s.BC = boundaryConditions; + s.mesh = mesh; + s.material = material; + % s.globalConnec = obj.displacementFun{i}.connec; + s.globalConnec = mesh.connec; + RHSint = RHSintegrator.create(s); + rhs = RHSint.compute(); + Fext = rhs; + R = RHSint.computeReactions(LHS); + % obj.variables.fext = rhs + R; + RHS = rhs+R; + end + + function computeSubdomainLHS(obj) + for idom=1:obj.nSubdomains(1) + obj.quad{idom} = Quadrature.set(obj.meshSubDomain{idom}.type); + obj.quad{idom}.computeQuadrature('QUADRATIC'); + obj.createDomainMaterial(idom); + obj.computeStiffnessMatrix(idom); + end + end + + function interfaceDof = computeLocalInterfaceDof(obj) + nint = size(obj.interfaceConnec,2); + globaldof=0; + for i=1:nint + dofaux=0; + dim = obj.getFunDims(obj.displacementFun{i}); + nodesI = obj.interfaceConnec(:,i); + + for iunkn=1:dim.ndimf + DOF = dim.ndimf*(nodesI - 1) + iunkn; + DOF = DOF-globaldof; + dofaux= [dofaux; DOF]; + end + interfaceDof(:,i) = dofaux(2:end); + globaldof = globaldof + dim.ndofs; + end + end + + function ind = identifyNeumanInterfaceDof(obj) + for idom=1:obj.nSubdomains(1) + bN = obj.boundaryConditions.neumannStep{idom}; + for idof = 1: length(obj.interfaceDof(:,idom)) + ind(idof,idom) = find(bN.neumann == obj.interfaceDof(idof,idom)); + end + end + end + + function ind = identifyDirichletInterfaceDof(obj) + for idom=1:obj.nSubdomains(1) + bD = obj.boundaryConditions.dirichletStep{idom}; + for idof = 1: length(obj.interfaceDof(:,idom)) + ind(idof,idom) = find(bD.dirichlet == obj.interfaceDof(idof,idom)); + end + end + end + + + function NeumannNeumannSolver(obj) + tol=1e-8; + e=1; + iter=1; + uInt = zeros(size(obj.interfaceDof,1),1); + while e(iter)>tol + + [uD,RHS] = obj.solveFEM(obj.boundaryConditions.dirichletStep); + R = obj.computeInterfaceResidual(uD,RHS); + obj.updateNeumanValues(R); + + [uN,~] = obj.solveFEM(obj.boundaryConditions.neumannStep); + uInt_new = obj.updateDirichletStepBC(uN); + + iter=iter+1; + e(iter) = norm(uInt_new-uInt); + uInt = uInt_new; + +% [uD,RHS] = obj.dirichletStep(); + + % for idom = 1:obj.nSubdomains(1) + % uplot = reshape(obj.displacementFun{idom}.fValues',1,[])'; +% uplot = obj.boundaryConditions.neumannStep{idom}.reducedToFullVector(uN{idom}); + % obj.plotSolution(uplot,obj.meshSubDomain{idom}, idom,iter) + % end +% iter=iter+1; + +% uN = obj.neumannStep(); + + + % for idom = 1:obj.nSubdomains(1) +% uplot = obj.boundaryConditions.neumannStep{idom}.reducedToFullVector(uN{idom}); + % uplot = uN{idom}; + % obj.plotSolution(uplot,obj.meshSubDomain{idom}, idom,iter) + % end + +% iter=iter+1; +% e(iter) = norm(uInt_new-uInt); +% uInt = uInt_new; + +% iter=iter+1; + % end + end + end + + function [uD,RHS] = dirichletStep(obj) + for idom = 1:obj.nSubdomains(1) + bD = obj.boundaryConditions.dirichletStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + disp = obj.displacementFun{idom}; + mat = obj.material{idom}; + [Fext,RHS{idom}] = obj.computeForces(bD,mat,mesh,disp,lhs); + Kred = bD.fullToReducedMatrix(obj.LHS{idom}); + Fred = bD.fullToReducedVector(RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bD.reducedToFullVector(u{idom}); + uD{idom} = reshape(u{idom},2,[])'; + end + end + + function u = neumannStep(obj) + for idom = 1:obj.nSubdomains(1) + bN = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + mat = obj.material{idom}; + disp = obj.displacementFun{idom}; + [obj.Fext,obj.RHS{idom}] = obj.computeForces(bN,mat,mesh,disp,lhs); + Kred = bN.fullToReducedMatrix(obj.LHS{idom}); + Fred = bN.fullToReducedVector(obj.RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bN.reducedToFullVector(u{idom}); + end + end + + function [u,RHS] = solveFEM(obj,bc) + for idom = 1:obj.nSubdomains(1) +% bc = obj.boundaryConditions.neumannStep{idom}; + lhs = obj.LHS{idom}; + mesh = obj.meshSubDomain{idom}; + mat = obj.material{idom}; + disp = obj.displacementFun{idom}; + bc_dom = bc{idom}; + [obj.Fext,RHS{idom}] = obj.computeForces(bc_dom,mat,mesh,disp,lhs); + Kred = bc_dom.fullToReducedMatrix(obj.LHS{idom}); + Fred = bc_dom.fullToReducedVector(RHS{idom}); + u{idom} = Kred\Fred; + u{idom} = bc_dom.reducedToFullVector(u{idom}); + u{idom} = reshape(u{idom},2,[])'; + end + end + + function R2 = computeInterfaceResidual(obj,u,RHS) + + w = [obj.weight,1-obj.weight]; +% w = [1,1]; + R=zeros(size(obj.interfaceDof,1),1); + R2=zeros(size(obj.interfaceDof,1),1); + for idom=1:obj.nSubdomains(1) + unodal = reshape(u{idom}',1,[])'; + interfaceDOF = obj.interfaceDof(:,idom); + R2 = R2 + w(idom)*(RHS{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal ... + + obj.LHS{idom}(interfaceDOF,interfaceDOF)*unodal(interfaceDOF)); +% R = R + w(idom)*(obj.Fext{idom}(interfaceDOF)-obj.LHS{idom}(interfaceDOF,:)*unodal); +% aaa = norm(R2-R); + end + end + + function updateNeumanValues(obj,R) + for idom=1:obj.nSubdomains(1) + ind = obj.interfaceNeumanDof(:,idom); + obj.boundaryConditions.neumannStep{idom}.neumann_values(ind) = R; + end + end + + + function uIntNew = updateDirichletStepBC(obj,u) + uInt = obj.computeInterfaceDisp(u); + uIntNew = obj.updateDirichletValues(uInt); + end + + function uInt = computeInterfaceDisp(obj,u) + w = [obj.weight,1- obj.weight]; +% w = [1,1]; + uInt=zeros(size(obj.interfaceDof,1),1); + for idom=1:obj.nSubdomains(1) + unodal = reshape(u{idom}',1,[])'; + interfaceDOF = obj.interfaceDof(:,idom); + uInt = uInt + w(idom)*unodal(interfaceDOF); + end + end + + function uIntNew = updateDirichletValues(obj,u) + for idom=1:obj.nSubdomains(1) + bD{idom} = obj.boundaryConditions.dirichletStep{idom}; + ind = obj.interfaceDirichletDof(:,idom); + bD{idom}.dirichlet_values(ind) = bD{idom}.dirichlet_values(ind) + obj.theta*u; + + end + obj.boundaryConditions.dirichletStep = bD; + uIntNew = bD{end}.dirichlet_values(obj.interfaceDirichletDof(:,end)); + end + + function plotSolution(obj,x,mesh,domain,iter) + % xFull = bc.reducedToFullVector(x); + s.fValues = reshape(x,2,[])'; + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + xF = P1Function(s); + % xF.plot(); + xF.print(['domain',num2str(domain),'_',num2str(iter)],'Paraview') + fclose('all'); + end + + end +end diff --git a/Old/FEM/Solver/PCG.m b/Old/FEM/Solver/PCG.m new file mode 100644 index 0000000000..58212714ac --- /dev/null +++ b/Old/FEM/Solver/PCG.m @@ -0,0 +1,48 @@ +classdef PCG < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + Preconditioner + tol + x0 + end + + methods (Static, Access = public) + + function [x,residual,err,errAnorm] = solve(A,B,x0,P,tol,xsol,mesh,bcApplier) + if nargin == 5, xsol = zeros(size(B)); end + iter = 0; + x = x0; + r = B - A(x); + z = P(r,x); + p = z; + rzold = r' * z; + while norm(r) > tol + Ap = A(p); + alpha = rzold / (p' * Ap); + x = x + alpha * p; +% EIFEMtesting.plotSolution(x,mesh,20,5,iter,bcApplier,0) + r = r - alpha * Ap; + z = P(r,x); + rznew = r' * z; + beta = (rznew / rzold); + p = z + beta * p; + rzold = rznew; + iter = iter + 1; + residual(iter) = norm(r); + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*A(x-xsol); + end + end + + end + + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/EIFEM.m b/Old/FEM/Solver/Preconditioners/EIFEM.m new file mode 100644 index 0000000000..b831d319e9 --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/EIFEM.m @@ -0,0 +1,182 @@ +classdef EIFEM < handle + + properties (Access = public) + + end + + properties (Access = private) + RVE + mesh + DirCond + end + + properties (Access = private) + LHS + Kel + boundaryConditions + bcApplier + assembler + dispFun + Kmodal + reactions + end + + methods (Access = public) + + function obj = EIFEM(cParams) + obj.init(cParams) + LHS = obj.computeLHS(); + obj.LHS = LHS; + obj.createBoundaryConditions(); + ss.mesh = obj.mesh; + ss.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(ss); + obj.reactions = obj.computeReactions(); + end + + function u = apply(obj,r) + Fcoarse = obj.projectExternalForce(r); + RHS = obj.assembleRHSvector(Fcoarse); + LHSred = obj.bcApplier.fullToReducedMatrixDirichlet(obj.LHS); + RHSred = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + uRed = LHSred\RHSred; + uCoarse = obj.bcApplier.reducedToFullVectorDirichlet(uRed); +% obj.plotSolution(uCoarse,obj.mesh,100,1,obj.iter,0) + u = obj.reconstructSolution(uCoarse); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.mesh = cParams.mesh; + obj.RVE = cParams.RVE; + obj.Kel = repmat(obj.RVE.Kcoarse,[1,1,obj.mesh.nelem]); + obj.DirCond = cParams.DirCond; + obj.dispFun = LagrangianFunction.create(obj.mesh, obj.RVE.ndimf,'P1'); + end + + function dim = getDims(obj) + d.ndimf = obj.RVE.ndimf; + d.nnodes = size(obj.mesh.coord, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function LHS = computeLHS(obj) + LHS = obj.assembleMatrix(); + end + + function LHS = assembleMatrix(obj) + s.fun = obj.dispFun; % !!! + trial = s.fun; + test = trial; + obj.assembler = AssemblerFun(s); + LHS = obj.assembler.assemble(obj.Kel, test, trial); + end + + function RHS = assembleRHSvector(obj,F) + Fcoarse = reshape(F,1,obj.dispFun.nDofsElem,[]); + Fcoarse = permute(Fcoarse,[2 1 3]); + fun = []; + RHS = obj.assembler.assembleV(Fcoarse,fun); + + end + + function R = computeReactions(obj) + bc = obj.boundaryConditions; + dirich = bc.dirichlet_dofs; + dirichV = bc.dirichlet_vals; + if ~isempty(dirich) + R = -obj.LHS(:,dirich)*dirichV; + else + R = zeros(sum(obj.dim.ndofs(:)),1); + end + end + + function createBoundaryConditions(obj) + dirichletFun = []; + for i = 1:numel(obj.DirCond) + dir = DirichletCondition(obj.mesh, obj.DirCond{i}); + dirichletFun = [dirichletFun, dir]; + end + + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); +% bM = obj.mesh.createBoundaryMesh(); + +% dirichletBc.boundaryId=1; +% dirichletBc.dof=[1,2]; +% dirichletBc.value=[0,0]; +% % newmanBc.boundaryId=2; +% % newmanBc.dof=[2]; +% % newmanBc.value=[10]; +% newmanBc= []; +% +% [dirichlet,pointload] = obj.createBc(bM,dirichletBc,newmanBc); +% bc.dirichlet=dirichlet; +% bc.pointload=pointload; + obj.boundaryConditions = bc; + end + + function Fcoarse = projectExternalForce(obj,Ffine) + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + Ut = (Udef + Urb)'; + Fcoarse = Ut*Ffine; + end + + function u = reconstructSolution(obj,uCoarse) + nElem = obj.mesh.nelem; + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + U = Udef + Urb; + dofConec = obj.dispFun.getDofConnec(); + for ielem = 1:nElem + uCelem = uCoarse(dofConec(ielem,:)); + u(:,ielem) = U*uCelem; + end + end + + function plotSolution(obj,x,mesh,row,col,iter,flag) + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end +% + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = obj.dispFun.order; + xF = LagrangianFunction(s); +% xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + + + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/EIFEM_trying_ideas.m b/Old/FEM/Solver/Preconditioners/EIFEM_trying_ideas.m new file mode 100644 index 0000000000..4bba495974 --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/EIFEM_trying_ideas.m @@ -0,0 +1,202 @@ +classdef EIFEM_trying_ideas < handle + + properties (Access = public) + + end + + properties (Access = private) + RVE + mesh + DirCond + end + + properties (Access = private) + LHS + Kel + boundaryConditions + bcApplier + assembler + dispFun + Kmodal + reactions + end + + methods (Access = public) + + function obj = EIFEM_trying_ideas(cParams) + obj.init(cParams) + LHS = obj.computeLHS(); + obj.LHS = LHS; + obj.createBoundaryConditions(); + ss.mesh = obj.mesh; + ss.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(ss); + obj.reactions = obj.computeReactions(); + end + + function u = apply(obj,r) + Fcoarse = obj.projectExternalForce(r); + RHS = obj.assembleRHSvector(Fcoarse); + LHSred = obj.bcApplier.fullToReducedMatrixDirichlet(obj.LHS); + RHSred = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + uRed = LHSred\RHSred; + uCoarse = obj.bcApplier.reducedToFullVectorDirichlet(uRed); +% obj.plotSolution(uCoarse,obj.mesh,100,1,obj.iter,0) + u = obj.reconstructSolution(uCoarse); + end + + function u = applySubdomainNeumannDeformational(obj,r) + Fmodal = obj.RVE.PhiDef'*r; + uModal = obj.Kmodal\Fmodal; + u = obj.RVE.PhiDef*uModal; + end + + function u = applySubdomainNeumannRigidBody(obj,r) + Frb = obj.RVE.PhiRb'*r; + uRb = obj.RVE.Grb\Frb; + u = obj.RVE.PhiRb*uRb; + end + + function U = getProjectionMatrix(obj) + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + U = (Udef + Urb); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.mesh = cParams.mesh; + obj.RVE = cParams.RVE; + obj.Kel = repmat(obj.RVE.Kcoarse,[1,1,obj.mesh.nelem]); + obj.DirCond = cParams.DirCond; + obj.dispFun = LagrangianFunction.create(obj.mesh, obj.RVE.ndimf,'P1'); +% Kfine = cParams.Kfine; +% obj.Kmodal = obj.RVE.PhiDef'*Kfine*obj.RVE.PhiDef; + end + + function dim = getDims(obj) + d.ndimf = obj.RVE.ndimf; + d.nnodes = size(obj.mesh.coord, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function LHS = computeLHS(obj) + LHS = obj.assembleMatrix(); + end + + function LHS = assembleMatrix(obj) + s.fun = obj.dispFun; % !!! + trial = s.fun; + test = trial; + obj.assembler = AssemblerFun(s); + LHS = obj.assembler.assemble(obj.Kel, test, trial); + end + + function RHS = assembleRHSvector(obj,F) + Fcoarse = reshape(F,1,obj.dispFun.nDofsElem,[]); + Fcoarse = permute(Fcoarse,[2 1 3]); + fun = []; + RHS = obj.assembler.assembleV(Fcoarse,fun); + + end + + function R = computeReactions(obj) + bc = obj.boundaryConditions; + dirich = bc.dirichlet_dofs; + dirichV = bc.dirichlet_vals; + if ~isempty(dirich) + R = -obj.LHS(:,dirich)*dirichV; + else + R = zeros(sum(obj.dim.ndofs(:)),1); + end + end + + function createBoundaryConditions(obj) + dirichletFun = []; + for i = 1:numel(obj.DirCond) + dir = DirichletCondition(obj.mesh, obj.DirCond{i}); + dirichletFun = [dirichletFun, dir]; + end + + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); +% bM = obj.mesh.createBoundaryMesh(); + +% dirichletBc.boundaryId=1; +% dirichletBc.dof=[1,2]; +% dirichletBc.value=[0,0]; +% % newmanBc.boundaryId=2; +% % newmanBc.dof=[2]; +% % newmanBc.value=[10]; +% newmanBc= []; +% +% [dirichlet,pointload] = obj.createBc(bM,dirichletBc,newmanBc); +% bc.dirichlet=dirichlet; +% bc.pointload=pointload; + obj.boundaryConditions = bc; + end + + function Fcoarse = projectExternalForce(obj,Ffine) + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + Ut = (Udef + Urb)'; + Fcoarse = Ut*Ffine; + end + + function u = reconstructSolution(obj,uCoarse) + nElem = obj.mesh.nelem; + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + U = Udef + Urb; + dofConec = obj.dispFun.getConnec(); + for ielem = 1:nElem + uCelem = uCoarse(dofConec(ielem,:)); + u(:,ielem) = U*uCelem; + end + end + + function plotSolution(obj,x,mesh,row,col,iter,flag) + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end +% + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = obj.dispFun.order; + xF = LagrangianFunction(s); +% xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + + + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/Preconditioner.m b/Old/FEM/Solver/Preconditioners/Preconditioner.m new file mode 100755 index 0000000000..1028c95509 --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/Preconditioner.m @@ -0,0 +1,81 @@ +classdef Preconditioner < handle + + methods (Access = public, Static) + + function M = create(cParams) + + switch cParams.type + case {'Jacobi'} + M = PreconditionerJacobi(cParams); + case {'GaussSeidel'} + M = PreconditionerGaussSeidel(cParams); + case {'ILU'} + M = PreconditionerILU(cParams); + case {'EIFEM'} + M = PreconditionerEIFEM(cParams); + case {'MODAL'} + M = PreconditionerModalApproximation(cParams); + case {'DirichletNeumann'} + M = PreconditionerDirichletNeumann(cParams); + case {'BNN'} + M = PreconditionerDirichletNeumann(cParams); + otherwise + error('Invalid preconditioner type.') + end + end + + + function z = multiplePrec(r,P1,P2,P3,A,b,mesh,bcApplier,uk) + + + z1 = P1(r); + r = r-A(z1); + z2 = P2(r,uk); + r = r-A(z2); + z3 = P3(r); + z = z1+z2+z3; + + % J1 = EIFEMtesting.computeTotalEnergy(z1,A,b) + % J2 = EIFEMtesting.computeTotalEnergy(z1+z2,A,b) + % J3 = EIFEMtesting.computeTotalEnergy(z1+z2+z3,A,b) + + % EIFEMtesting.plotSolution(z1,mesh,10,10,1,bcApplier,0) + % EIFEMtesting.plotSolution(z1+z2,mesh,10,10,2,bcApplier,0) + % EIFEMtesting.plotSolution(z1+z2+z3,mesh,10,10,3,bcApplier,0) + % EIFEMtesting.plotSolution(z,mesh,10,10,3,bcApplier,0) + end + + function z = multiplePrec2(r,P1,P2,A) + z1 = P1(r); + r = r-A(z1); + z2 = P2(r); + z = z1+z2; + end + + function z = additivePrec(r,P1,P2) + z1 = P1(r); + z2 = P2(r); + z = z1+z2; + end + + function x = InexactCG(r,A,P,b) + x0 = zeros(size(r)); + + factor = 0.99; + tol = factor*norm(r); + +% x = PCG.solve(A,r,x0,P,tol); + + %tau = @(r,A) 1; + tau = @(r,A) r'*r/(r'*A(r)); + x = RichardsonSolver.solve(A,r,x0,P,tol,tau); + + + + end + + end + +end + + diff --git a/Old/FEM/Solver/Preconditioners/PreconditionerDirichletNeumann.m b/Old/FEM/Solver/Preconditioners/PreconditionerDirichletNeumann.m new file mode 100644 index 0000000000..0ea1345a66 --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/PreconditionerDirichletNeumann.m @@ -0,0 +1,264 @@ +classdef PreconditionerDirichletNeumann < handle + + properties (Access = public) + + end + + properties (Access = private) + subdomainLHS + isDirichlet + sBCApplier + dirList + neuList + end + + properties (Access = private) + LHS + bcApplier + DirCond + ddDofManager + RHS + weight + subdomainMesh + LHSreduced + meshDomain + end + + methods (Access = public) + + function obj = PreconditionerDirichletNeumann(cParams) + obj.init(cParams); + obj.createSubdomainsBCappliers(); + sLHS = obj.computeSubdomainLHS(); + obj.subdomainLHS = obj.computeSubdomainLHSreduced(sLHS); + % obj.DirichletNeumannSolver(); + + % + + % % obj.obtainCornerNodes(); + % % fineMesh = MeshFromRVE + % obj.createSubDomainMeshes(); + % obj.createInterfaceSubDomainMeshes(); + % obj.createDomainMesh(); + + + % s.referenceMesh = obj.referenceMesh; + % mC = MeshCreatorFromSubmeshes(); + % obj.meshDomain = mC.mesh; + + % preconditioner = obj.createPreconditioner(mC.submeshes); + + end + + function z = apply(obj,r) + + lhsS = obj.LHS; + rR = obj.bcApplier.reducedToFullVectorDirichlet(r); + rS = obj.ddDofManager.global2local(rR); + + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.ddDofManager = cParams.ddDofManager; + obj.bcApplier = cParams.bcApplier; + obj.weight = 0.5; + obj.DirCond = cParams.DirCond; + obj.LHS = cParams.LHS; + obj.subdomainMesh = cParams.subdomainMesh; + obj.meshDomain = cParams.meshDomain; + obj.isDirichlet{1} = false; + obj.isDirichlet{2} = true; + end + + function createSubdomainsBCappliers(obj) + obj.dirList = []; + obj.neuList = []; + for iS = 1:numel(obj.subdomainMesh) + sMesh = obj.subdomainMesh{iS}; + + hasDirichlet = []; + for iDir = 1:numel(obj.DirCond) + isCoord = obj.DirCond{iDir}.domain(sMesh.coord); + hasDirichlet = [hasDirichlet,isCoord]; + end + dirichletFun = []; + if any(hasDirichlet(:)) + obj.neuList(end+1) = iS; + for iDir = 1:numel(obj.DirCond) + dir = DirichletCondition(sMesh, obj.DirCond{iDir}); + dirichletFun = [dirichletFun, dir]; + end + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = sMesh; + bc = BoundaryConditions(s); + else + obj.dirList(end+1) = iS; + intDom = obj.ddDofManager.interfaceDom; + intConec = obj.ddDofManager.intConecLocal; + ic = 0; + Dir = {}; + for iInt = 1:length(intDom) + intDomI = intDom(iInt,:); + isD = find(intDomI == iS); + + if ~isempty(isD) + nod = intConec(:,isD,iInt); + coordInt = obj.subdomainMesh{iS}.coord(nod,:); + meanCoordIntX = mean(coordInt(:,1)); + + + isLeft = @(coor) (abs(coor(:,1) - meanCoordIntX) < 1e-12); + Dir{ic+1}.domain = @(coor) isLeft(coor) ; + Dir{ic+1}.direction = [1,2]; + Dir{ic+1}.value = 0; + ic = ic+1; + end + end + + for iDir = 1:numel(Dir) + dir = DirichletCondition(sMesh, Dir{iDir}); + dirichletFun = [dirichletFun, dir]; + end + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = sMesh; + bc = BoundaryConditions(s); + end + + sD.mesh = sMesh; + sD.boundaryConditions = bc; + obj.sBCApplier{iS} = BCApplier(sD); + end + end + + function lhsR = computeSubdomainLHSreduced(obj,subdomainLHS) + for iS = 1:numel(obj.subdomainMesh) + lhs = subdomainLHS(:,:,iS); + bc = obj.sBCApplier{iS}; + lhsR{iS} = bc.fullToReducedMatrixDirichlet(lhs); + end + end + + + function subdomainLHS = computeSubdomainLHS(obj) + sLHS = obj.ddDofManager.global2localMatrix(obj.LHS); + subdomainLHS = obj.ddDofManager.scaleInterfaceValuesMatrix(sLHS,obj.weight); + end + + function solve(obj,F,list) + for iS = 1:length(list) + dom = list(iS); + lhs = obj.subdomainLHS(:,:,dom); + f = F(dom); + u = lhs\f; + ug = obj.sBCApplier{dom}.reducedToFullVectorDirichlet(u); + end + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + isLeft = @(coor) (abs(coor(:,1) - min(coor(:,1))) < 1e-12); + isRight = @(coor) (abs(coor(:,1) - max(coor(:,1))) < 1e-12); + isBottom = @(coor) (abs(coor(:,2) - min(coor(:,2))) < 1e-12); + isTop = @(coor) (abs(coor(:,2) - max(coor(:,2))) < 1e-12); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor)| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + + PL.domain = @(coor) isTop(coor); + PL.direction = 2; + PL.value = -0.1; + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = [dirichletFun, dir]; + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.fValues = fvalues; + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + + function DirichletNeumannSolver(obj) + tol=1e-8; + e=1; + theta = 3/4; + iter=1; + while e>tol + % for i=1:obj.nSubdomains(1) + obj.computeForces(2); + Kred = obj.boundaryConditions{2}.fullToReducedMatrix(obj.LHS{2}); + Fred = obj.boundaryConditions{2}.fullToReducedVector(obj.RHS{2}); + u{2} = Kred\Fred; + u{2} = obj.boundaryConditions{2}.reducedToFullVector(u{2}); + R = obj.RHS{2}-0*obj.LHS{2}*u{2}; + obj.plotSolution(R,obj.meshSubDomain{2}, 2,iter) + % obj.plotSolution(u{2},obj.meshSubDomain{2}, 2,iter) + + obj.computeForces(1); + R_int = obj.LHS{2}(obj.interfaceDof(:,2),:)*u{2}; + obj.RHS{1}(obj.interfaceDof(:,1)) = obj.RHS{1}(obj.interfaceDof(:,1)) - R_int; + + Kred = obj.boundaryConditions{1}.fullToReducedMatrix(obj.LHS{1}); + Fred = obj.boundaryConditions{1}.fullToReducedVector(obj.RHS{1}); + u{1} = Kred\Fred; + u{1} = obj.boundaryConditions{1}.reducedToFullVector(u{1}); + R = obj.RHS{1}-0*obj.LHS{1}*u{1}; + obj.plotSolution(R,obj.meshSubDomain{1}, 1,iter) + % obj.plotSolution(u{1},obj.meshSubDomain{1}, 1,iter) + + u1int = theta*u{2}(obj.interfaceDof(:,2)) + (1-theta)*u{1}(obj.interfaceDof(:,1)); + + for idof = 1: length(obj.interfaceDof(:,2)) + ind = find(obj.boundaryConditions{2}.dirichlet == obj.interfaceDof(idof,2)); + obj.boundaryConditions{2}.dirichlet_values(ind) = u1int(idof); + end + + e = norm(u1int-u{2}(obj.interfaceDof(:,2))); + + iter=iter+1; + % end + end + end + + function plotSolution(obj,x,mesh,domain,iter) + % xFull = bc.reducedToFullVector(x); + s.fValues = reshape(x,2,[])'; + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + xF = P1Function(s); + % xF.plot(); + xF.print(['domain',num2str(domain),'_',num2str(iter)],'Paraview') + fclose('all'); + end + + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/PreconditionerEIFEM.m b/Old/FEM/Solver/Preconditioners/PreconditionerEIFEM.m new file mode 100644 index 0000000000..1ab624e327 --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/PreconditionerEIFEM.m @@ -0,0 +1,70 @@ +classdef PreconditionerEIFEM < handle + + properties (Access = public) + + end + + properties (Access = private) + EIFEMfilename + weight + EIFEMsolver + end + + properties (Access = private) + LHS + bcApplier + dir + ddDofManager + dMesh + iter + end + + methods (Access = public) + + function obj = PreconditionerEIFEM(cParams) + obj.init(cParams); + end + + function z = apply(obj,r,uk) + uk = obj.bcApplier.reducedToFullVectorDirichlet(uk); + uk = obj.ddDofManager.global2local(uk); %dissemble + uk = reshape(uk,[],1); + Rd = obj.computeDiscontinousField(r); + uD = obj.EIFEMsolver.apply(Rd); + u = reshape(uD,[],1); +% EIFEMtesting.plotSolution(u+uk,obj.dMesh,21,5,obj.iter,[],0) + obj.iter = obj.iter+1; + uC = obj.computeContinousField(uD); + z = uC; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.ddDofManager = cParams.ddDofManager; + obj.EIFEMsolver = cParams.EIFEMsolver; + obj.bcApplier = cParams.bcApplier; + obj.weight = 0.5; + obj.dMesh = cParams.dMesh; + obj.iter = 1; + end + + + function Rd = computeDiscontinousField(obj,Rc) + RG = obj.bcApplier.reducedToFullVectorDirichlet(Rc); + Rd = obj.ddDofManager.global2local(RG); %dissemble + Rd = obj.ddDofManager.scaleInterfaceValues(Rd,obj.weight); %scale + end + + function uC = computeContinousField(obj,uD) + fS = obj.ddDofManager.scaleInterfaceValues(uD,obj.weight); %scale + fG = obj.ddDofManager.local2global(fS); %assemble + uC = sum(fG,2); %assemble + uC = obj.bcApplier.fullToReducedVectorDirichlet(uC); + end + + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/PreconditionerEIFEMcontinous.m b/Old/FEM/Solver/Preconditioners/PreconditionerEIFEMcontinous.m new file mode 100644 index 0000000000..de9f026591 --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/PreconditionerEIFEMcontinous.m @@ -0,0 +1,191 @@ +classdef PreconditionerEIFEMcontinous < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + EIFEMfilename + weight + nSubdomains + EIFEMsolver + ddDofManager + end + + properties (Access = private) + coarseMesh + LHS + bcApplier + dir + end + + methods (Access = public) + + function obj = PreconditionerEIFEMcontinous(cParams) + obj.init(cParams); + obj.createEIFEM(); + end + + + function z = solveEIFEM(obj,r) + RGsbd = obj.computeSubdomainResidual(r); + uSbd = obj.EIFEMsolver.apply(RGsbd); + z = obj.computeContinousField(uSbd); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + obj.ddDofManager = cParams.ddDofManager; + obj.nSubdomains = cParams.nSubdomains; + obj.coarseMesh = cParams.coarseMesh; + obj.bcApplier = cParams.bcApplier; + obj.dir = cParams.dir; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + obj.EIFEMfilename = 'DEF_Q4porL_1.mat'; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + obj.weight = 0.5; + end + + function createEIFEM(obj) + filename = obj.EIFEMfilename; + RVE = TrainedRVE(filename); + s.RVE = RVE; + s.mesh = obj.coarseMesh; + s.DirCond = obj.dir; + eifem = EIFEM(s); + obj.EIFEMsolver = eifem; + end + + function uInt = computeInterfaceDisp(obj,u) + nint = size(obj.ddDofManager.interfaceDof,3); + uInt = zeros(size(obj.ddDofManager.interfaceDof,1),nint); + w = [obj.weight,1- obj.weight]; + for iint = 1:nint + ndom = size(obj.ddDofManager.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.ddDofManager.interfaceDom(iint,idom); + unodal = u(:,dom); + dof = obj.ddDofManager.interfaceDof(:,idom,iint); + uInt(:,iint) = uInt(:,iint) + w(idom)*unodal(dof); + end + end + end + + function u = smoothDisplacement(obj,u,uInterface) + uG = obj.ddDofManager.local2global(u); + uG = sum(uG,2); + u = obj.updateInterfaceValues(uG,uInterface); + end + + function u = updateInterfaceValues(obj,u,uInterface) + nint = size(obj.ddDofManager.interfaceDof,3); + for iint = 1:nint + dom = obj.ddDofManager.interfaceDom(iint,1); + dof = obj.ddDofManager.interfaceDof(:,1,iint); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + locGlobConnec = obj.ddDofManager.localGlobalDofConnec{row,col}; + [~,ind] = ismember(dof,locGlobConnec(:,2)); + dofGlob = locGlobConnec(ind,1); + u(dofGlob) = uInterface(:,iint); + end + end + + function R = scaleInterfaceValues(obj,R) + nint = size(obj.ddDofManager.interfaceDof,3); + uInt = zeros(size(obj.ddDofManager.interfaceDof,1),nint); + w = [obj.weight,1-obj.weight]; + for iint = 1:nint + ndom = size(obj.ddDofManager.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.ddDofManager.interfaceDom(iint,idom); + Rnodal = R(:,dom); + dof = obj.ddDofManager.interfaceDof(:,idom,iint); + R(dof,dom) = w(idom)* R(dof,dom); + end + end + end + + function Rsbd = computeSubdomainResidual(obj,R) + RG = obj.bcApplier.reducedToFullVectorDirichlet(R); + % obj.plotSolution(RG,obj.meshDomain,0,1,iter,1) + RGsbd = obj.ddDofManager.global2local(RG); + Rsbd = obj.scaleInterfaceValues(RGsbd); + end + + function fc = computeContinousField(obj,f) + fInt = obj.computeInterfaceDisp(f); + fc = obj.smoothDisplacement(f,fInt); + fc = obj.bcApplier.fullToReducedVectorDirichlet(fc); + end + + function Ug = computeAssembledProjectionMatrix(obj) + Ueifem = obj.EIFEMsolver.getProjectionMatrix(); + Ueifem = repmat(Ueifem,1,obj.nSubdomains(1)*obj.nSubdomains(2)); + Ueifem = obj.scaleProjectionMatrix(Ueifem); + Ug = obj.assembleProjectionMatrix(Ueifem); + end + + function U = scaleProjectionMatrix(obj,U) + nDofcoarse = size(U,2)/obj.nSubdomains(1)*obj.nSubdomains(2); + for i=1: nDofcoarse + Usbd = U(:,i:nDofcoarse:end); + Usbd = obj.scaleInterfaceValues(Usbd); + U(:,i:nDofcoarse:end)= Usbd; + end + end + + + function Ug = assembleProjectionMatrix(obj,U) + nsbd = obj.nSubdomains(1)*obj.nSubdomains(2); + nDofcoarse = size(U,2)/nsbd; + Ug = zeros(obj.ddDofManager.nDof,nDofcoarse*nsbd); + for i=1: nDofcoarse + Usbd = U(:,i:nDofcoarse:end); + Uaux = obj.local2global(Usbd); + Ug(:,i:nDofcoarse:end)= Uaux; + end + Ug = sparse(Ug); + end + + function computeKEIFEMglobal(obj) + U = obj.computeAssembledProjectionMatrix(); + % U = U(:,9:end); + obj.EIFEMprojection = obj.computeReducedProjection(U); + LHS = obj.bcApplier.fullToReducedMatrixDirichlet(obj.LHS); + obj.KeifemContinuous = obj.EIFEMprojection'*LHS*obj.EIFEMprojection; + + end + + function Ured = computeReducedProjection(obj,U) + ncol = size(U,2); + for i=1:ncol + Ured(:,i) = obj.bcApplier.fullToReducedVectorDirichlet(U(:,i)); + end + end + + function z = solveMEIFEMcontinuous(obj,r) + lhs=obj.KeifemContinuous; + phi=obj.EIFEMprojection; + % phi = obj.bcApplier.fullToReducedMatrixDirichlet(phi); + r1=phi'*r; + zP=lhs\r1; + z =phi*zP; + % z = (r-LHS*z); + + %M = obj.MmodalPrecond; + %z = M*r; + end + + + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/PreconditionerFactory.m b/Old/FEM/Solver/Preconditioners/PreconditionerFactory.m new file mode 100644 index 0000000000..fff0f269cc --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/PreconditionerFactory.m @@ -0,0 +1,48 @@ +classdef PreconditionerFactory < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + + end + + methods (Access = public) + + + function stype = create(cParams) + % solver_type = 'DIRECT'; + switch cParams.type + case {'DIRECT'} + stype = Direct_Solver(); + + case {'CHOLEVSKY'} + % At least up to ndof ~5e4, Direct is still faster + stype = Cholesky_Direct_Solver(); + + case {'ITERATIVE'} +% error('Not implemented yet') + switch cParams.iterativeSolverTyp + case{'PCG'} + stype = PCG(cParams); + end + +% case 'PCG' +% % Preconditioned conjugate gradient +% stype = PCG(cParams); + + case 'Nonlinear' + stype = NonLinear_Solver(cParams); + + otherwise + error('Invalid solver type.') + end + end + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/PreconditionerGaussSeidel.m b/Old/FEM/Solver/Preconditioners/PreconditionerGaussSeidel.m new file mode 100644 index 0000000000..632612b255 --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/PreconditionerGaussSeidel.m @@ -0,0 +1,49 @@ +classdef PreconditionerGaussSeidel < handle + + properties (Access = private) + L + U + D + end + + properties (Access = private) + LHS + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = PreconditionerGaussSeidel(cParams) + obj.init(cParams) + obj.computeLUFactorization() + end + + function z = apply(obj,r) + Pl = @(r) (obj.L + obj.D)\r; + Pu = @(r) (obj.U + obj.D)\r; + LHSf = @(r) obj.LHS*r; + z = Preconditioner.multiplePrec2(r,Pl,Pu,LHSf); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + end + + function computeLUFactorization(obj) + obj.L = tril(obj.LHS); + obj.U = triu(obj.LHS); + obj.D = diag(diag(obj.LHS)); + end + + + end + + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/PreconditionerILU.m b/Old/FEM/Solver/Preconditioners/PreconditionerILU.m new file mode 100644 index 0000000000..903f3b0632 --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/PreconditionerILU.m @@ -0,0 +1,38 @@ +classdef PreconditionerILU < handle + + properties (Access = private) + Lchol + end + + properties (Access = private) + LHS + end + + methods (Access = public) + + function obj = PreconditionerILU(cParams) + obj.init(cParams) + obj.computeCholeskyFactorization() + end + + function z = apply(obj,r) + L = obj.Lchol; + z = L\r; + z = (L')\z; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + end + + function computeCholeskyFactorization(obj) + L = ichol(obj.LHS); + obj.Lchol = L ; + end + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/PreconditionerJacobi.m b/Old/FEM/Solver/Preconditioners/PreconditionerJacobi.m new file mode 100644 index 0000000000..71ce596c3a --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/PreconditionerJacobi.m @@ -0,0 +1,37 @@ +classdef PreconditionerJacobi < handle + + properties (Access = private) + D + end + + properties (Access = private) + LHS + end + + methods (Access = public) + + function obj = PreconditionerJacobi(cParams) + obj.init(cParams) + obj.computeDiagonalMatrix() + end + + function z = apply(obj,r) + Pl = @(r) (obj.D)\r; + z = Pl(r); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + end + + function computeDiagonalMatrix(obj) + obj.D = diag(diag(obj.LHS)); + end + + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/Preconditioners/PreconditionerModalApproximation.m b/Old/FEM/Solver/Preconditioners/PreconditionerModalApproximation.m new file mode 100644 index 0000000000..3d3db3f11c --- /dev/null +++ b/Old/FEM/Solver/Preconditioners/PreconditionerModalApproximation.m @@ -0,0 +1,51 @@ +classdef PreconditionerModalApproximation < handle + + properties (Access = private) + eigenModes + LHSreduced + end + + properties (Access = private) + LHS + nBasis + end + + methods (Access = public) + + function obj = PreconditionerModalApproximation(cParams) + obj.init(cParams); + obj.computeEigenModes(); + obj.computeReducedLHS(); + end + + function z = apply(obj,r) + lhsR = obj.LHSreduced; + phi = obj.eigenModes; + rR = phi'*r; + zR = lhsR\rR; + z = phi*zR; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + obj.nBasis = cParams.nBasis; + end + + function computeEigenModes(obj) + [phi,D]=eigs(obj.LHS,obj.nBasis,'smallestabs'); + obj.eigenModes = phi; + end + + function computeReducedLHS(obj) + phi = obj.eigenModes; + lhs = phi'*obj.LHS*phi; + obj.LHSreduced = lhs; + end + + end + +end \ No newline at end of file diff --git a/Old/FEM/Solver/RichardsonSolver.m b/Old/FEM/Solver/RichardsonSolver.m new file mode 100644 index 0000000000..b580e03326 --- /dev/null +++ b/Old/FEM/Solver/RichardsonSolver.m @@ -0,0 +1,44 @@ +classdef RichardsonSolver < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + + end + + methods (Static, Access = public) + + + function [x,residual,err,errAnorm] = solve(A,B,x0,P,tol,linesearch,xsol,mesh,bcApplier) + if nargin == 6, xsol = zeros(size(B)); end + iter = 0; + n = length(B); + x = x0; + r = B - A(x); + z = P(r); + while norm(r) > tol + tau = 1*linesearch(r,A); + x = x + tau * z; +% EIFEMtesting.plotSolution(x,mesh,10,10,iter,bcApplier,0) + r = B - A(x); + z = P(r); + test(iter+1)=norm(z); + iter = iter + 1; + residual(iter) = norm(r); %Ax - b + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*A(x-xsol); + %norm(r) + end + + end + + end + + +end \ No newline at end of file diff --git a/Old/Input/lattice_ex1.m b/Old/Input/lattice_ex1.m new file mode 100644 index 0000000000..0949753044 --- /dev/null +++ b/Old/Input/lattice_ex1.m @@ -0,0 +1,700 @@ +%================================================================== +% General Data File +% Title: Default_title +% Units: SI +% Dimensions: 2D +% Type of problem: Plane_Stress +% Type of Phisics: ELASTIC +% Micro/Macro: MACRO +% +%================================================================== + +%% Data + +Data_prb = { +'Default_title'; +'SI'; +'2D'; +'Plane_Stress'; +'ELASTIC'; +'MACRO'; +}; + +%% Coordinates +% Node X Y Z + 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243 230 229 0 +99 3 1 4 0 +100 235 248 236 0 +101 235 236 225 0 +102 136 138 130 0 +103 127 135 133 0 +104 127 133 119 0 +105 35 33 31 0 +106 35 31 32 0 +107 122 128 127 0 +108 122 127 119 0 +109 244 256 245 0 +110 244 245 230 0 +111 8 6 5 0 +112 8 5 10 0 +113 12 11 8 0 +114 12 8 17 0 +115 133 139 140 0 +116 31 30 29 0 +117 31 29 32 0 +118 116 123 122 0 +119 116 122 109 0 +120 245 257 246 0 +121 93 95 90 0 +122 242 235 227 0 +123 182 177 175 0 +124 40 35 39 0 +125 3 4 7 0 +126 136 130 124 0 +127 133 140 129 0 +128 245 246 232 0 +129 88 93 90 0 +130 233 242 227 0 +131 183 182 175 0 +132 42 40 39 0 +133 88 90 86 0 +134 233 227 221 0 +135 183 175 176 0 +136 42 39 43 0 +137 4 9 7 0 +138 140 143 129 0 +139 246 234 232 0 +140 130 120 124 0 +141 90 95 94 0 +142 90 94 87 0 +143 227 235 225 0 +144 227 225 215 0 +145 175 177 165 0 +146 175 165 160 0 +147 39 35 32 0 +148 39 32 41 0 +149 102 101 94 0 +150 238 231 228 0 +151 10 3 7 0 +152 10 7 19 0 +153 29 24 32 0 +154 225 236 228 0 +155 244 230 243 0 +156 147 134 146 0 +157 119 133 129 0 +158 119 129 117 0 +159 165 168 156 0 +160 241 229 231 0 +161 230 245 232 0 +162 230 232 220 0 +163 7 9 14 0 +164 129 143 131 0 +165 232 234 223 0 +166 124 120 112 0 +167 136 124 134 0 +168 85 88 86 0 +169 85 86 81 0 +170 224 233 221 0 +171 224 221 219 0 +172 184 183 176 0 +173 184 176 185 0 +174 45 42 43 0 +175 45 43 48 0 +176 86 90 87 0 +177 221 227 215 0 +178 176 175 160 0 +179 43 39 41 0 +180 9 16 14 0 +181 14 16 27 0 +182 143 144 131 0 +183 131 144 148 0 +184 234 226 223 0 +185 223 226 222 0 +186 120 110 112 0 +187 112 110 99 0 +188 94 101 92 0 +189 32 24 34 0 +190 229 230 218 0 +191 165 156 150 0 +192 228 231 217 0 +193 225 228 216 0 +194 146 134 125 0 +195 231 229 217 0 +196 7 14 19 0 +197 19 14 26 0 +198 129 131 117 0 +199 117 131 121 0 +200 232 223 220 0 +201 220 223 213 0 +202 124 112 114 0 +203 114 112 103 0 +204 159 146 156 0 +205 17 8 10 0 +206 108 109 101 0 +207 109 122 119 0 +208 24 21 17 0 +209 86 87 83 0 +210 221 215 211 0 +211 176 160 162 0 +212 43 41 47 0 +213 134 124 114 0 +214 114 125 134 0 +215 220 218 230 0 +216 117 107 119 0 +217 19 20 10 0 +218 137 150 156 0 +219 217 216 228 0 +220 98 92 101 0 +221 28 34 24 0 +222 125 137 146 0 +223 218 217 229 0 +224 107 98 109 0 +225 20 28 17 0 +226 150 160 165 0 +227 216 215 225 0 +228 92 87 94 0 +229 34 41 32 0 +230 146 137 156 0 +231 17 28 24 0 +232 109 98 101 0 +233 79 81 80 0 +234 186 185 164 0 +235 212 219 207 0 +236 51 48 49 0 +237 26 14 27 0 +238 121 131 148 0 +239 213 223 222 0 +240 103 112 99 0 +241 119 107 109 0 +242 10 20 17 0 +243 27 37 36 0 +244 148 152 126 0 +245 222 214 209 0 +246 99 89 91 0 +247 91 103 99 0 +248 209 213 222 0 +249 126 121 148 0 +250 36 26 27 0 +251 81 86 83 0 +252 219 221 211 0 +253 185 176 162 0 +254 48 43 47 0 +255 47 49 48 0 +256 162 164 185 0 +257 211 207 219 0 +258 83 80 81 0 +259 76 79 80 0 +260 208 212 207 0 +261 187 186 164 0 +262 54 51 49 0 +263 37 46 44 0 +264 152 158 132 0 +265 214 210 205 0 +266 89 82 84 0 +267 84 91 89 0 +268 205 209 214 0 +269 132 126 152 0 +270 44 36 37 0 +271 44 46 50 0 +272 132 158 142 0 +273 205 210 202 0 +274 84 82 78 0 +275 49 53 54 0 +276 54 53 58 0 +277 164 169 187 0 +278 187 169 189 0 +279 207 203 208 0 +280 208 203 204 0 +281 80 75 76 0 +282 76 75 72 0 +283 46 52 50 0 +284 50 52 55 0 +285 158 166 142 0 +286 142 166 154 0 +287 210 206 202 0 +288 202 206 198 0 +289 82 77 78 0 +290 78 77 74 0 +291 53 57 58 0 +292 58 57 61 0 +293 169 173 189 0 +294 189 173 192 0 +295 203 199 204 0 +296 204 199 200 0 +297 75 71 72 0 +298 72 71 69 0 +299 52 56 55 0 +300 55 56 59 0 +301 166 178 154 0 +302 154 178 171 0 +303 206 201 198 0 +304 198 201 193 0 +305 77 73 74 0 +306 74 73 70 0 +307 57 62 61 0 +308 61 62 64 0 +309 173 180 192 0 +310 192 180 194 0 +311 199 195 200 0 +312 200 195 196 0 +313 71 67 69 0 +314 69 67 66 0 +315 64 62 65 0 +316 64 65 68 0 +317 194 180 191 0 +318 194 191 197 0 +319 196 195 188 0 +320 196 188 190 0 +321 66 67 63 0 +322 66 63 60 0 +323 59 56 60 0 +324 59 60 63 0 +325 171 178 190 0 +326 171 190 188 0 +327 193 201 197 0 +328 193 197 191 0 +329 70 73 68 0 +330 70 68 65 0 +]; + +%% Variable Prescribed +% Node Dimension Value + +lnodes = [ +]; + +%% Force Prescribed +% Node Dimension Value + +pointload_complete = [ +]; + +%% Volumetric Force +% Element Dim Force_Dim + +Vol_force = [ +]; + +%% Group Elements +% Element Group_num + +Group = [ +]; + +%% Initial Holes +% Elements that are considered holes initially +% Element + +Initial_holes = [ +]; + +%% Boundary Elements +% Elements that can not be removed +% Element + +Boundary_elements = [ +]; + +%% Micro gauss post +% +% Element + +Micro_gauss_post = [ +]; + + +%% Micro Slave-Master +% Nodes that are Slaves +% Nodes Value (1-Slave,0-Master) + +Micro_slave = [ +]; + +%% Nodes solid +% Nodes that must remain +% Nodes + +% nodesolid = unique(pointload_complete(:,1)); + +%% External border Elements +% Detect the elements that define the edge of the domain +% Element Node(1) Node(2) + +External_border_elements = [ +]; + +%% External border Nodes +% Detect the nodes that define the edge of the domain +% Node + +External_border_nodes = [ +]; + +%% Materials +% Materials that have been used +% Material_Num Mat_density Young_Modulus Poisson + +Materials = [ +]; diff --git a/Old/Topology Optimization/Operators/Projectors/Projector_toModalFunction.m b/Old/Topology Optimization/Operators/Projectors/Projector_toModalFunction.m new file mode 100644 index 0000000000..ae5c17d394 --- /dev/null +++ b/Old/Topology Optimization/Operators/Projectors/Projector_toModalFunction.m @@ -0,0 +1,97 @@ +classdef Projector_toModalFunction < Projector + + properties (Access = private) + basis + functionType + end + + methods (Access = public) + + function obj = Projector_toModalFunction(cParams) + obj.init(cParams); + obj.basis = cParams.basis; + obj.functionType = cParams.functionType; + end + + function xFun = project(obj, x) + LHS = obj.computeLHS(); + RHS = obj.computeRHS(x); + xProj = LHS\RHS; + s.mesh = obj.mesh; + s.fValues = xProj; + s.basis = obj.basis; + s.functionType = obj.functionType; + xFun = ModalFunction(s); + end + + end + + methods (Access = private) + + function LHS = computeLHS(obj) + mesh = obj.mesh; + basis = obj.basis; + functionType = obj.functionType; + + test = ModalFunction.create(mesh,basis,functionType); + quad = obj.createRHSQuadrature(test); + xV = quad.posgp; + dV = obj.mesh.computeDvolume(quad); + ngaus = quad.ngaus; + + basisTest = test.evaluateBasisFunctions(xV); + basisTrial = basisTest; + nbasis = test.nbasis; + + LHS = zeros(nbasis); + nFlds = test.ndimf; + + for i = 1:nbasis + for j = 1:nbasis + for iField = 1:nFlds + basisProd = squeeze(basisTest{i}(iField,:,:).*basisTrial{j}(iField,:,:)); + LHS(i,j) = LHS(i,j) + sum(basisProd.*dV,'all'); + end + end + end + end + + function RHS = computeRHS(obj,fun) + mesh = obj.mesh; + basis = obj.basis; + functionType = obj.functionType; + + test = ModalFunction.create(mesh,basis,functionType); + + quad = obj.createRHSQuadrature(fun); + xV = quad.posgp; + dV = obj.mesh.computeDvolume(quad); + + basisTest = test.evaluateBasisFunctions(xV); + nbasis = test.nbasis; + + nGaus = quad.ngaus; + nFlds = fun.ndimf; + + fGaus = fun.evaluate(xV); + f = zeros(nbasis,1); + + for i = 1:nbasis + for iField = 1:nFlds + int = squeeze(basisTest{i}(iField,:,:).*fGaus(iField,:,:)); + f(i) = f(i) + sum(int.*dV,'all'); + end + end + + RHS = f; + end + + function q = createRHSQuadrature(obj, fun) + ord = obj.determineQuadratureOrder(fun); + q = Quadrature.set(obj.mesh.type); + q.computeQuadrature(ord); + end + + end + +end \ No newline at end of file diff --git a/PGCchol_100x100.mat b/PGCchol_100x100.mat new file mode 100644 index 0000000000..3f0bf1caff Binary files /dev/null and b/PGCchol_100x100.mat differ diff --git a/PGCchol_20x20.mat b/PGCchol_20x20.mat new file mode 100644 index 0000000000..5d5f2ce218 Binary files /dev/null and b/PGCchol_20x20.mat differ diff --git a/PGCchol_50x50.mat b/PGCchol_50x50.mat new file mode 100644 index 0000000000..93154cc269 Binary files /dev/null and b/PGCchol_50x50.mat differ diff --git a/PGCjacobi_100x100.mat b/PGCjacobi_100x100.mat new file mode 100644 index 0000000000..dfa7ea22b8 Binary files /dev/null and b/PGCjacobi_100x100.mat differ diff --git a/PGCjacobi_20x20.mat b/PGCjacobi_20x20.mat new file mode 100644 index 0000000000..0a233dc510 Binary files /dev/null and b/PGCjacobi_20x20.mat differ diff --git a/PGCjacobi_50x50.mat b/PGCjacobi_50x50.mat new file mode 100644 index 0000000000..3b99c77f26 Binary files /dev/null and b/PGCjacobi_50x50.mat differ diff --git a/PGCmodes20_100x100.mat b/PGCmodes20_100x100.mat new file mode 100644 index 0000000000..fa2c124309 Binary files /dev/null and b/PGCmodes20_100x100.mat differ diff --git a/PGCmodes20_20x20.mat b/PGCmodes20_20x20.mat new file mode 100644 index 0000000000..94d0f953f0 Binary files /dev/null and b/PGCmodes20_20x20.mat differ diff --git a/PGCmodes20_50x50.mat b/PGCmodes20_50x50.mat new file mode 100644 index 0000000000..3c0cf817c8 Binary files /dev/null and b/PGCmodes20_50x50.mat differ diff --git a/PGCmodes_100x100.mat b/PGCmodes_100x100.mat new file mode 100644 index 0000000000..43a6854fbb Binary files /dev/null and b/PGCmodes_100x100.mat differ diff --git a/PGCmodes_20x20.mat b/PGCmodes_20x20.mat new file mode 100644 index 0000000000..ff4f1ecbc2 Binary files /dev/null and b/PGCmodes_20x20.mat differ diff --git a/PGCmodes_50x50.mat b/PGCmodes_50x50.mat new file mode 100644 index 0000000000..96047d988e Binary files /dev/null and b/PGCmodes_50x50.mat differ diff --git a/PGCssor_100x100.mat b/PGCssor_100x100.mat new file mode 100644 index 0000000000..d974af49fb Binary files /dev/null and b/PGCssor_100x100.mat differ diff --git a/PGCssor_20x20.mat b/PGCssor_20x20.mat new file mode 100644 index 0000000000..a062d04dce Binary files /dev/null and b/PGCssor_20x20.mat differ diff --git a/PGCssor_50x50.mat b/PGCssor_50x50.mat new file mode 100644 index 0000000000..6d87e6f626 Binary files /dev/null and b/PGCssor_50x50.mat differ diff --git a/PGDchol_20x20.mat b/PGDchol_20x20.mat new file mode 100644 index 0000000000..c1a88f2127 Binary files /dev/null and b/PGDchol_20x20.mat differ diff --git a/PGDjacobi_20x20.mat b/PGDjacobi_20x20.mat new file mode 100644 index 0000000000..f556016deb Binary files /dev/null and b/PGDjacobi_20x20.mat differ diff --git a/PGDmodes20_20x20.mat b/PGDmodes20_20x20.mat new file mode 100644 index 0000000000..1f3be6357f Binary files /dev/null and b/PGDmodes20_20x20.mat differ diff --git a/PGDmodes_20x20.mat b/PGDmodes_20x20.mat new file mode 100644 index 0000000000..80e51aace8 Binary files /dev/null and b/PGDmodes_20x20.mat differ diff --git a/PGDssor_20x20.mat b/PGDssor_20x20.mat new file mode 100644 index 0000000000..2ec5a07915 Binary files /dev/null and b/PGDssor_20x20.mat differ diff --git a/Paravi.flavia.msh b/Paravi.flavia.msh new file mode 100644 index 0000000000..f1f3e0a093 --- /dev/null +++ b/Paravi.flavia.msh @@ -0,0 +1,41 @@ +#################################################### +################# FEM-MAT-OO v.1.0 ################# +#################################################### + +MESH "WORKPIECE" dimension 2 Elemtype Triangle Nnode 3 + +coordinates + 1 00000 00000 + 2 1.00000e-02 1.00000e-02 + 3 00000 2.00000e-02 + 4 2.00000e-02 00000 + 5 2.00000e-02 2.00000e-02 + 6 1.00000e-02 3.00000e-02 + 7 3.00000e-02 1.00000e-02 + 8 00000 4.00000e-02 + 9 4.00000e-02 00000 + 10 3.00000e-02 3.00000e-02 + 11 4.00000e-02 2.00000e-02 + 12 2.00000e-02 4.00000e-02 + 13 4.00000e-02 4.00000e-02 +end coordinates + +elements + 1 5 2 4 1 + 2 3 2 5 1 + 3 1 2 3 1 + 4 4 2 1 1 + 5 12 6 5 1 + 6 8 6 12 1 + 7 3 6 8 1 + 8 5 6 3 1 + 9 11 7 9 1 + 10 5 7 11 1 + 11 4 7 5 1 + 12 9 7 4 1 + 13 13 10 11 1 + 14 12 10 13 1 + 15 5 10 12 1 + 16 11 10 5 1 +end elements + diff --git a/Paravi.flavia.res b/Paravi.flavia.res new file mode 100644 index 0000000000..0287d96ec3 --- /dev/null +++ b/Paravi.flavia.res @@ -0,0 +1,26 @@ +GiD Post Results File 1.0 +GaussPoints "Gauss Points" Elemtype Triangle +Number of Gauss Points: 1 +Nodes not included +Natural Coordinates: given + 3.33333e-01 3.33333e-01 +End GaussPoints + +Result "fValues" "FunResults" 0 Vector OnNodes +ComponentNames "x1", "x2" +Values + 1 00000 1.00000e+01 + 2 00000 1.00000e+01 + 3 00000 1.00000e+01 + 4 00000 1.00000e+01 + 5 00000 00010 + 6 00000 1.00000e+01 + 7 00000 1.00000e+01 + 8 00000 00010 + 9 00000 1.00000e+01 +10 00000 1.00000e+01 +11 00000 1.00000e+01 +12 00000 1.00000e+01 +13 00000 1.00000e+01 +End Values + diff --git a/Preconditioning/DomainDecomposition/DomainDecompositionDofManager.m b/Preconditioning/DomainDecomposition/DomainDecompositionDofManager.m new file mode 100644 index 0000000000..beb367673d --- /dev/null +++ b/Preconditioning/DomainDecomposition/DomainDecompositionDofManager.m @@ -0,0 +1,210 @@ +classdef DomainDecompositionDofManager < handle + + properties (Access = public) + interfaceConnec + interfaceConnecReshaped + interfaceDom + intConecLocal + end + + properties (Access = private) + nDof + nReferenceDof + localGlobalDof + interfaceDof + end + + properties (Access = private) + nSubdomains + locGlobConnec + nBoundaryNodes + nReferenceNodes + nDimf + nNodes + end + + methods (Access = public) + + function init(obj,cParams) + obj.nSubdomains = cParams.nSubdomains; + obj.interfaceConnec = cParams.interfaceConnec; + obj.interfaceConnecReshaped = cParams.interfaceConnecReshaped; + obj.locGlobConnec = cParams.locGlobConnec; + obj.nBoundaryNodes = cParams.nBoundaryNodes; + obj.nReferenceNodes = cParams.nReferenceNodes; + obj.nNodes = cParams.nNodes; + obj.nDimf = cParams.nDimf; + obj.nDof = obj.nNodes*obj.nDimf; + obj.nReferenceDof = obj.nReferenceNodes*obj.nDimf; + end + + function obj = DomainDecompositionDofManager(cParams) + obj.init(cParams) + obj.createlocalGlobalDofConnec(); + obj.computeLocalInterfaceDof(); + end + + function f = scaleInterfaceValues(obj,f,w) + nint = numel(obj.interfaceDof); + weight = [w,1-w]; + for iint = 1:nint + dofI = obj.interfaceDof{iint}; + ndom = size(dofI,2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + dof = dofI(:,idom); + f(dof,dom) = weight(idom)* f(dof,dom); + end + end + end + + function m = scaleInterfaceValuesMatrix(obj,m,w) + nint = numel(obj.interfaceDof); + weight = [w,1-w]; + for iint = 1:nint + dofI = obj.interfaceDof{iint}; + ndom = size(dofI,2); + for idom = 1:ndom + dom = obj.interfaceDom(iint,idom); + dof = dofI(:,idom); + m(dof,dof,dom) = weight(idom)* m(dof,dof,dom); + end + end + end + + function fG = local2global(obj,fL) + fG = zeros(obj.nDof,obj.nSubdomains(1)*obj.nSubdomains(2)); + ind = 1; + for jdom = 1: obj.nSubdomains(2) + for idom = 1: obj.nSubdomains(1) + lDof = obj.localGlobalDof{jdom,idom}(:,1); + gDof = obj.localGlobalDof{jdom,idom}(:,2); + fG(lDof,ind) = fL(gDof,ind); + ind=ind+1; + end + end + end + + function mGs = local2globalMatrix(obj, mL) + ndimf = obj.nDimf; + %mG = zeros(size(mL(:,:,1))*ndimf); + mGs = []; + ind = 1; + %mGsSparse = cell(size(mL,3),1); + mGs = sparse(obj.nDof, obj.nDof); + + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + gGconnec = obj.localGlobalDof{jdom,idom}; + %mGs(gGconnec(:,1),gGconnec(:,1), ind) = mL(gGconnec(:,2),gGconnec(:,2), ind); + mGs(gGconnec(:,1),gGconnec(:,1) ) = mGs(gGconnec(:,1),gGconnec(:,1)) + mL(gGconnec(:,2),gGconnec(:,2), ind); + + % %------------------------- + % mGs(gGconnec(:,1),gGconnec(:,1)) = mL(gGconnec(:,2),gGconnec(:,2), ind); + % mGsSparse{ind} = sparse(mGs ); + % %------------------------- + + % mG(gGconnec(:,1),gGconnec(:,1)) = mG(gGconnec(:,1),gGconnec(:,1)) + mL(gGconnec(:,2),gGconnec(:,2), ind); + ind=ind+1; + end + + end + + % mG = ; + % for i = 1:(ind-1) + % mG = mG + full(mGsSparse{i}); + % + % end + %mG = sum(mGs,3); + + end + + function fL = global2local(obj,fG) + ndimf = obj.nDimf; + fL = zeros(obj.nReferenceNodes*ndimf,obj.nSubdomains(1)*obj.nSubdomains(2)); + ind = 1; + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + lGconnec = obj.localGlobalDof{jdom,idom}; + fL(lGconnec(:,2),ind) = fG(lGconnec(:,1)); + ind=ind+1; + end + end + end + + function mL = global2localMatrix(obj,mG) + ndimf = obj.nDimf; + mL = zeros(obj.nReferenceNodes*ndimf,obj.nReferenceNodes*ndimf,obj.nSubdomains(1)*obj.nSubdomains(2)); + ind = 1; + for jdom = 1:obj.nSubdomains(2) + for idom = 1:obj.nSubdomains(1) + lGconnec = obj.localGlobalDof{jdom,idom}; + mL(lGconnec(:,2),lGconnec(:,2),ind) = mG(lGconnec(:,1),lGconnec(:,1)); + ind=ind+1; + end + end + end + + end + + methods (Access = private) + + function createlocalGlobalDofConnec(obj) + ndimf = obj.nDimf; + ndom = obj.nSubdomains(1)*obj.nSubdomains(2); + for dom = 1:ndom + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + localGlobalDofConnecDom = zeros(1,2); + nodeG = obj.locGlobConnec(:,1,dom); + nodeL = obj.locGlobConnec(:,2,dom); + for iunkn = 1:ndimf + dofConec = [ndimf*(nodeG - 1) + iunkn , ndimf*(nodeL - 1) + iunkn] ; + localGlobalDofConnecDom = [localGlobalDofConnecDom;dofConec]; + end + localGlobalDofConnec{row,col} = localGlobalDofConnecDom(2:end,:); + end + obj.localGlobalDof = localGlobalDofConnec; + end + + function computeLocalInterfaceDof(obj) + + intConecResh = obj.interfaceConnecReshaped; + + + + nint = numel(intConecResh); + ndimf = obj.nDimf; + ndofs = obj.nReferenceNodes*ndimf; + for iint=1:nint + intConecIint = intConecResh{iint}; + ndom = size(intConecIint,2); %length(intConec(1,:,iint)); + intConecL = zeros(size(intConecIint)); + interfaceDof = []; + for idom = 1:ndom + dofaux=0; + + nodesI = intConecIint(:,idom); + dom = ceil(intConecIint(1,idom)/obj.nReferenceNodes); + globaldof = (dom-1)*ndofs; + for iunkn=1:ndimf + DOF = ndimf*(nodesI - 1) + iunkn; + DOF = DOF-globaldof; + dofaux= [dofaux; DOF]; + end + interfaceDof(:,idom) = dofaux(2:end); + interfaceDom(iint,idom) = dom; + intConecL(:,idom) = nodesI - (dom-1)*obj.nReferenceNodes; + end + intConecLiint{iint} = intConecL(:,idom); + interfaceDofIint{iint} = interfaceDof; + end + obj.interfaceDof = interfaceDofIint; + obj.interfaceDom = interfaceDom; + obj.intConecLocal = intConecLiint; + + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/DomainDecomposition/DomainDecompositionManager.m b/Preconditioning/DomainDecomposition/DomainDecompositionManager.m new file mode 100644 index 0000000000..c90652ecd7 --- /dev/null +++ b/Preconditioning/DomainDecomposition/DomainDecompositionManager.m @@ -0,0 +1,301 @@ +classdef DomainDecompositionManager < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + meshDomain + boundaryConditions + material + meshReference + interfaceMeshReference + meshSubDomain + nSubdomains + ninterfaces + interfaceMeshSubDomain + globalMeshConnecSubDomain + interfaceMeshConnecSubDomain + subDomainContact + cornerNodes + quad + end + + methods (Access = public) + + function obj = DomainDecompositionManager() + close all + obj.init(); + obj.createReferenceMesh(); + + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = obj.meshReference; + m = MeshCreatorFromRVE(s); + [meshDomain,meshSubDomain,interfaceConnec] = m.create(); + + cMesh = createCoarseMesh(obj); + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = cMesh; + mRVECoarse = MeshCreatorFromRVE(s); + [meshDomainCoarse,meshSubDomainCoarse,interfaceConnecCoarse] = mRVECoarse.create(); + + filename = 'testEIFEM1.mat'; + RVE = TrainedRVE(filename); + s1.RVE = RVE; + s1.mesh = meshDomainCoarse; + eifem = EIFEM(s1); + +% % obj.obtainCornerNodes(); +% % fineMesh = MeshFromRVE +% obj.createSubDomainMeshes(); +% obj.createInterfaceSubDomainMeshes(); +% obj.createDomainMesh(); + obj.createBoundaryConditions(); + obj.quad = Quadrature.set(obj.meshDomain.type); + obj.quad.computeQuadrature('QUADRATIC'); + obj.createDomainMaterial(); + +% s.referenceMesh = obj.referenceMesh; +% mC = MeshCreatorFromSubmeshes(); +% obj.meshDomain = mC.mesh; + +% preconditioner = obj.createPreconditioner(mC.submeshes); + + obj.solveDomainProblem(); + + + + end + + function solveDomainProblem(obj) + s.mesh = obj.meshDomain; + s.bc = obj.boundaryConditions; + s.material = obj.material; + s.type = 'ELASTIC'; + s.scale = 'MACRO'; + s.dim = '2D'; + s.solverTyp = 'ITERATIVE'; + s.iterativeSolverTyp = 'PCG'; + s.preconditionerType = 'EIFEM'; + s.tol = 1e-6; + + fem = FEM.create(s); + fem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [2 2]; %nx ny + end + + function createReferenceMesh(obj) +% filename = 'lattice_ex1'; +% a.fileName = filename; +% femD = FemDataContainer(a); +% mS = femD.mesh; +% bS = mS.createBoundaryMesh(); + % Generate coordinates + x1 = linspace(0,1,5); + x2 = linspace(0,1,5); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + + s.coord = coord(:,1:2); + s.connec = F; + mS = Mesh(s); + bS = mS.createBoundaryMesh(); + + obj.meshReference = mS; + obj.interfaceMeshReference = bS; + obj.ninterfaces = length(bS); + end + + function cMesh = createCoarseMesh(obj) + xmax = max(obj.meshReference.coord(:,1)); + xmin = min(obj.meshReference.coord(:,1)); + ymax = max(obj.meshReference.coord(:,2)); + ymin = min(obj.meshReference.coord(:,2)); + coord(1,1) = xmax; + coord(1,2) = ymin; + coord(2,1) = xmax; + coord(2,2) = ymax; + coord(3,1) = xmin; + coord(3,2) = ymax; + coord(4,1) = xmin; + coord(4,2) = ymin; + connec = [1 2 3 4]; + s.coord = coord; + s.connec = connec; + cMesh = Mesh(s); + end + + function createDomainMesh(obj) + s.nSubdomains = obj.nSubdomains; + s.meshReference = obj.meshReference; + s.interfaceMeshSubDomain = obj.interfaceMeshSubDomain(); + s.ninterfaces = obj.ninterfaces; + s.meshSubDomain = obj.meshSubDomain; + + coupling = InterfaceCoupling(s); + coupling.compute(); + s.interfaceConnec = coupling.interfaceConnec; + + DMesh = DomainMeshComputer(s); + DMesh.compute(); + obj.meshDomain = DMesh.domainMesh; + end + + function createDomainMaterial(obj) +% ngaus = 1; + m = obj.meshDomain; + obj.material = obj.createMaterial(m); + end + + function L = computeReferenceMeshLength(obj) + coord = obj.meshReference.coord; + Lx = max(coord(:,1)); + Ly = max(coord(:,2)); + L = [Lx Ly]; + end + + function createSubDomainMeshes(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + figure(2) + for jDom = 1:nY + for iDom = 1:nX + coordIJ = obj.computeSubdomainCoords(jDom,iDom); + mIJ = obj.createSubdomainMesh(coordIJ); + mIJ.plot(); + mD{jDom,iDom} = mIJ; + hold on + end + end + obj.meshSubDomain = mD; + end + + function m = createSubdomainMesh(obj,coord) + connec0 = obj.meshReference.connec; + s.coord = coord; + s.connec = connec0; + m = Mesh(s); + end + + function coord = computeSubdomainCoords(obj,jDom,iDom) + coord0 = obj.meshReference.coord; + L = obj.computeReferenceMeshLength(); + Lx = L(1); + Ly = L(2); + coord(:,1) = coord0(:,1)+Lx*(iDom-1); + coord(:,2) = coord0(:,2)+Ly*(jDom-1); + end + + function createInterfaceSubDomainMeshes(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + figure + for jDom = 1:nY + for iDom = 1:nX + bIJ = obj.meshSubDomain{jDom,iDom}.createBoundaryMesh(); + bD{jDom,iDom} = bIJ; + hold on + for iline=1:length(bIJ) + bIJ{iline}.mesh.plot(); + end + end + end + obj.interfaceMeshSubDomain = bD; + end + + function obtainCornerNodes(obj) + ninterface = obj.ninterfaces; +% corner = zeros(ninterface,1); + icorner=1; +% for i=1:ninterface-1 +% nodesi=obj.interfaceMeshReference{i,1}.globalConnec; +% for j=i+1:ninterface +% nodesj=obj.interfaceMeshReference{j,1}.globalConnec; +% nodes=intersect(nodesi,nodesj); +% if ~isempty(nodes) +% corner(icorner)= nodes; +% icorner=icorner+1; +% end +% end +% end + for i=1:ninterface + aux = CellNodesDescriptor(obj.interfaceMeshReference{i}.mesh.coord); + corner = unique(aux.cornerNodes); + + + [coordmax] = max(obj.interfaceMeshReference{i}.mesh.coord); + [coordmin] = max(obj.interfaceMeshReference{i}.mesh.coord); + + corner(icorner) = indmax; + icorner = icorner+1; + + corner(icorner) = indmin; + icorner = icorner+1; + end + obj.cornerNodes = corner; + end + + function createBoundaryConditions(obj) + bM = obj.meshDomain.createBoundaryMesh(); + + dirichletBc.boundaryId=1; + dirichletBc.dof=[1,2]; + dirichletBc.value=[0,0]; + newmanBc.boundaryId=2; + newmanBc.dof=[2]; + newmanBc.value=[10]; + + [dirichlet,pointload] = obj.createBc(bM,dirichletBc,newmanBc); + bc.dirichlet=dirichlet; + bc.pointload=pointload; + obj.boundaryConditions = bc; + end + + function [dirichlet,pointload] = createBc(obj,boundaryMesh,dirchletBc,newmanBc) + dirichlet = obj.createBondaryCondition(boundaryMesh,dirchletBc); + pointload = obj.createBondaryCondition(boundaryMesh,newmanBc); + end + + function cond = createBondaryCondition(obj,bM,condition) + nbound = length(condition.boundaryId); + cond = zeros(1,3); + for ibound=1:nbound + ncond = length(condition.dof(nbound,:)); + nodeId= unique(bM{condition.boundaryId(ibound)}.globalConnec); + nbd = length(nodeId); + for icond=1:ncond + bdcond= [nodeId, repmat(condition.dof(icond),[nbd,1]), repmat(condition.value(icond),[nbd,1])]; + cond=[cond;bdcond]; + end + end + cond = cond(2:end,:); + end + + function material = createMaterial(obj,mesh) + I = ones(mesh.nelem,obj.quad.ngaus); + s.ptype = 'ELASTIC'; + s.pdim = '2D'; + s.nelem = mesh.nelem; + s.mesh = mesh; + s.kappa = .9107*I; + s.mu = .3446*I; + mat = Material.create(s); + mat.compute(s); + material = mat; + end + + end +end diff --git a/Preconditioning/DomainDecomposition/DomainMeshComputer.m b/Preconditioning/DomainDecomposition/DomainMeshComputer.m new file mode 100644 index 0000000000..f108dcca49 --- /dev/null +++ b/Preconditioning/DomainDecomposition/DomainMeshComputer.m @@ -0,0 +1,181 @@ +classdef DomainMeshComputer < handle + + properties (Access = public) + domainMesh + domainMeshDisc + localGlobalConnec + end + + properties (Access = private) + meshReference + nSubdomains + interfaceMeshSubDomain + ninterfaces + meshSubDomain + interfaceConnec + tolSameNode + end + + properties (Access = private) + connecGlob + coordGlob + updtConnecGlob + updtCoordGlob + end + + methods (Access = public) + + function obj = DomainMeshComputer(cParams) + obj.init(cParams) + + end + + function compute(obj) + obj.connecGlob = obj.createGlobalConnec(obj.meshReference); + obj.createGlobalCoord(); + obj.updateGlobalConnec(); + obj.updateGlobalCoord(); + obj.computeLocalGlobalConnec() + s.coord = obj.updtCoordGlob; + s.connec = obj.updtConnecGlob; + obj.domainMesh = Mesh.create(s); + + s.connec = obj.connecGlob; + s.coord = obj.coordGlob; + obj.domainMeshDisc = Mesh.create(s); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.tolSameNode = cParams.tolSameNode; + obj.meshReference = cParams.meshReference; + obj.nSubdomains = cParams.nSubdomains; + obj.interfaceMeshSubDomain = cParams.interfaceMeshSubDomain; + obj.ninterfaces = cParams.ninterfaces; + obj.meshSubDomain = cParams.meshSubDomain; + obj.interfaceConnec = cParams.interfaceConnec; + end + + function gConnec = createGlobalConnec(obj,m) + % we simply create a connectivity matrix as if no nodes are + % shared, just summing nnodes. We need that to create the + % global connectivity matrix that considers shared nodes. + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + nelem = m.nelem; + nnodeElem = m.nnodeElem; + nnodes = m.nnodes; + connec0 = m.connec; + % dConnec = connec0 + nnodes*(nX*(jDom-1)+iDom-1); + gConnec=zeros(nX*nY*nelem,nnodeElem); + for jDom = 1:nY + for iDom = 1:nX + indLinear= nX*(jDom-1)+iDom; + rowIn=(indLinear-1)*nelem+1; + rowEnd=indLinear*nelem; + gConnec(rowIn:rowEnd,:)=connec0+nnodes*(indLinear-1); + end + end + end + + function createGlobalCoord(obj) + % we simply create the coordinate matrix as if no nodes are + % shared, just summing nnodes. + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + ndim = obj.meshReference.ndim; + nnodes = obj.meshReference.nnodes; + meshsd = obj.meshSubDomain; + % dConnec = connec0 + nnodes*(nX*(jDom-1)+iDom-1); + coordGlob=zeros(nX*nY*nnodes,ndim); + for jDom = 1:nY + for iDom = 1:nX + indLinear= nX*(jDom-1)+iDom; + rowIn=(indLinear-1)*nnodes+1; + rowEnd=indLinear*nnodes; + coordGlob(rowIn:rowEnd,:)=meshsd{jDom,iDom}.coord; + end + end + obj.coordGlob=coordGlob; + end + + function updateGlobalConnec(obj) + updtConnecGlob = obj.connecGlob; + rCconnec = obj.interfaceConnec; + nref = size(rCconnec,1); +% ncopies = size(rCconnec,2); + for iref=1:nref + aux = rCconnec(iref,:); + aux = aux(aux>0); + for icopy=2:length(aux) + updtConnecGlob(updtConnecGlob==aux(icopy)) = aux(1); + updtConnecGlob(updtConnecGlob>aux(icopy)) = updtConnecGlob(updtConnecGlob>aux(icopy))-1; + aux(aux>aux(icopy)) = aux(aux>aux(icopy))-1; + rCconnec(rCconnec>aux(icopy)) = rCconnec(rCconnec>aux(icopy))-1; + end + end + obj.updtConnecGlob=updtConnecGlob; + end + + function updateGlobalCoord(obj) + tol = obj.tolSameNode; + + A = obj.coordGlob; + + % Initialize a logical index to track unique rows + %tic + isUnique = true(size(A, 1), 1); + + for i = 1:size(A, 1) + if isUnique(i) + % Compute row-wise tolerance checks + rowDiff = vecnorm(A - A(i, :),2,2); + isSimilarRow = all(rowDiff <= tol, 2); % Rows similar within tolerance + isUnique = isUnique & ~isSimilarRow; % Mark similar rows as non-unique + isUnique(i) = true; % Keep the first occurrence + end + end + + uniqueVals = A(isUnique,:); + % toc + % + % tic + % % Compute pairwise differences between rows + % diffMatrix = abs(A - permute(A, [3, 2, 1])); % Compute differences between rows + % maxDiff = squeeze(max(diffMatrix, [], 2)); % Maximum difference across columns + % + % % Find unique rows by checking if they are within the tolerance + % isSimilar = maxDiff <= tol; % Rows within tolerance + % isUnique = ~any(tril(isSimilar, -1), 2); % Ignore duplicates in lower triangle + % + % % Extract unique rows + % uniqueRows = A(isUnique, :); + % toc + + obj.updtCoordGlob = uniqueVals; + %tol = obj.tolSameNode; + % [~, colindices] = uniquetol(obj.coordGlob,tol, 'ByRows', true); %get indices of unique value. Is sorted BY VALUE + % obj.updtCoordGlob = obj.coordGlob(sort(colindices),:); + + %obj.updtCoordGlob = unique(obj.coordGlob,'rows','stable');%'stable'); + end + + function computeLocalGlobalConnec(obj) + nodeG = reshape(obj.updtConnecGlob',[],1); + nodeL = reshape(obj.connecGlob',[],1); + nnode = obj.meshReference.nnodes; + localGlobalConnec(:,1) = nodeG; + localGlobalConnec(:,2) = nodeL; + localGlobalConnec = unique(localGlobalConnec,'rows','stable'); + localGlobalConnec = permute(reshape(localGlobalConnec',2,nnode,[]),[2,1,3]); + + for dom = 1:size(localGlobalConnec,3) + localGlobalConnec(:,2,dom) = localGlobalConnec(:,2,dom)-(dom-1)*nnode; + end + obj.localGlobalConnec = localGlobalConnec; + end + end +end \ No newline at end of file diff --git a/Preconditioning/DomainDecomposition/InterfaceCoupling.m b/Preconditioning/DomainDecomposition/InterfaceCoupling.m new file mode 100644 index 0000000000..26655e11b6 --- /dev/null +++ b/Preconditioning/DomainDecomposition/InterfaceCoupling.m @@ -0,0 +1,137 @@ +classdef InterfaceCoupling < handle + + properties (Access = public) + interfaceConnec + interfaceConnecReshaped + end + + properties (Access = private) + meshReference + nSubdomains + interfaceMeshSubDomain + ninterfaces + tolSameNode + end + + properties (Access = private) + coordBdGl + GlNodeBd + end + + methods (Access = public) + + function obj = InterfaceCoupling(cParams) + obj.init(cParams) + + end + + function compute(obj) + obj.coordNodeBoundary(); + obj.computeCouplingConnec(); + obj.reshapeConecPerInterface(); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.meshReference = cParams.meshReference; + obj.nSubdomains = cParams.nSubdomains; + obj.interfaceMeshSubDomain = cParams.interfaceMeshSubDomain; + obj.ninterfaces = cParams.ninterfaces; + obj.tolSameNode = cParams.tolSameNode; + end + + function coordNodeBoundary(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + nnodes = obj.meshReference.nnodes; + interfaceMesh = obj.interfaceMeshSubDomain(); + ndim = interfaceMesh{1,1}{1,1}.mesh.ndim; + ninterface = obj.ninterfaces; + coordBdGl = zeros(1,ndim); + GlNodeBd = zeros(1,1); + for jDom = 1:nY + for iDom = 1:nX + for iline=1:ninterface + bdcood = interfaceMesh{jDom,iDom}{iline,1}.mesh.coord; + coordBdGl = [coordBdGl;bdcood]; + %although it says global is in subdomain + %conecctivity + conecInter = interfaceMesh{jDom,iDom}{iline,1}.globalConnec; + nodeIntSub = reshape(unique(conecInter),[],1); + nodeIntGl = nodeIntSub + nnodes*(nX*(jDom-1)+iDom-1); + GlNodeBd = [GlNodeBd; nodeIntGl]; + end + end + end + [GlNodeBd,ind] = unique(GlNodeBd); + coordBdGl = coordBdGl(ind,:); + obj.coordBdGl = coordBdGl(2:end,:); +% subDomNode = subDomNode(2:end,:); + obj.GlNodeBd = GlNodeBd(2:end,:); + end + + function computeCouplingConnec(obj) + ndim = obj.meshReference.ndim; + nBdNode = length(obj.GlNodeBd); + globalNode = obj.GlNodeBd; + coordBdGlAux = obj.coordBdGl; + imaster=1; + if ndim == 2 + coordAux = [coordBdGlAux zeros(nBdNode,1)]; + else + coordAux = coordBdGlAux; + end + for iBdNode = 1:nBdNode + NodeCoord = coordAux(iBdNode,:); + tol = obj.tolSameNode; + + + isSameNode = vecnorm(coordAux-NodeCoord,'Inf',2) - tol <= 0; + +% aux = (coordAux(:,1)==NodeCoord(1) & coordAux(:,2)==NodeCoord(2) & coordAux(:,3)==NodeCoord(3)); +% [~,ind] = ismember(NodeCoord,coordAux,'Rows'); + %ind = find(aux == 1); + if sum(isSameNode)>1 + sameNode = globalNode(isSameNode); + nsame = length(sameNode); + sameNodeOrdered(imaster,1:nsame) = sort(sameNode); + imaster=imaster+1; + end + end + obj.interfaceConnec=unique(sameNodeOrdered,'rows'); + end + + function reshapeConecPerInterface(obj) + globalConec = obj.interfaceConnec; + nRnodes = obj.meshReference.nnodes; + nnode = size(globalConec,1); + nint = obj.ninterfaces; + gbInt = 1; + inode = 1; + while inode < nnode + nodeId = globalConec(inode,1); + dom = ceil(nodeId/nRnodes); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + bdMesh = obj.interfaceMeshSubDomain{row,col}; + for iInt = 1:nint + isNode = bdMesh{iInt}.globalConnec == nodeId - nRnodes*(dom-1); + if sum(sum(isNode)) > 0 + nnodebd = bdMesh{iInt}.mesh.nnodes; + intConec{gbInt} = globalConec(inode:inode+nnodebd-1,:); + inode = inode + nnodebd; + gbInt = gbInt+1; + break + end + end + end + obj.interfaceConnecReshaped = intConec; + end + + + end + +end \ No newline at end of file diff --git a/Preconditioning/DomainDecomposition/MeshCreatorFromRVE.m b/Preconditioning/DomainDecomposition/MeshCreatorFromRVE.m new file mode 100644 index 0000000000..8f11f60eaf --- /dev/null +++ b/Preconditioning/DomainDecomposition/MeshCreatorFromRVE.m @@ -0,0 +1,155 @@ +classdef MeshCreatorFromRVE < handle + + properties (Access = public) + + end + + properties (Access = private) + nSubdomains + meshReference + interfaceMeshReference + ninterfaces + tolSameNode + end + + properties (Access = private) + meshSubDomain + interfaceMeshSubDomain + meshDomain + interfaceConnec + localGlobalConnec + interfaceConnecReshaped + domainMeshDisc + end + + methods (Access = public) + + function obj = MeshCreatorFromRVE(cParams) + obj.init(cParams) + end + + function [mD,mSD,interfaceConnec,bdSB,localGlobalConnec,interfaceConnecReshaped,dMesh] = create(obj) + obj.createSubDomainMeshes(); + obj.createInterfaceSubDomainMeshes(); + obj.createDomainMesh(); + mD = obj.meshDomain; + mSD = obj.meshSubDomain; + interfaceConnec = obj.interfaceConnec; + interfaceConnecReshaped = obj.interfaceConnecReshaped; + bdSB = obj.interfaceMeshSubDomain; + localGlobalConnec = obj.localGlobalConnec; + dMesh = obj.domainMeshDisc; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.nSubdomains = cParams.nsubdomains; %nx ny + obj.meshReference = cParams.meshReference; + obj.interfaceMeshReference = obj.meshReference.createBoundaryMesh(); + obj.ninterfaces = length(obj.interfaceMeshReference); + obj.tolSameNode = cParams.tolSameNode; + end + + function createSubDomainMeshes(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + figure(2) + for jDom = 1:nY + for iDom = 1:nX + coordIJ = obj.computeSubdomainCoords(jDom,iDom); + mIJ = obj.createSubdomainMesh(coordIJ); + %mIJ.plot(); + mD{jDom,iDom} = mIJ; + % hold on + end + end + obj.meshSubDomain = mD; + end + + function concatenateMeshes(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + coord = []; + connec = []; + for jDom = 1:nY + for iDom = 1:nX + m = obj.meshSubDomain{jDom,iDom}; + coord = [coord;m.coord]; + connec = [connec;m.connec]; + end + end + s.coord = coord; + s.connec = connec; + mAll = Mesh.create(s); + + end + + function L = computeReferenceMeshLength(obj) + coord = obj.meshReference.coord; + Lx = max(coord(:,1))-min(coord(:,1)); + Ly = max(coord(:,2))-min(coord(:,2)); + L = [Lx Ly]; + end + + function coord = computeSubdomainCoords(obj,jDom,iDom) + coord0 = obj.meshReference.coord; + L = obj.computeReferenceMeshLength(); + Lx = L(1); + Ly = L(2); + coord(:,1) = coord0(:,1)+Lx*(iDom-1); + coord(:,2) = coord0(:,2)+Ly*(jDom-1); + end + + function m = createSubdomainMesh(obj,coord) + connec0 = obj.meshReference.connec; + s.coord = coord; + s.connec = connec0; + m = Mesh.create(s); + end + + function createInterfaceSubDomainMeshes(obj) + nX = obj.nSubdomains(1); + nY = obj.nSubdomains(2); + figure + for jDom = 1:nY + for iDom = 1:nX + bIJ = obj.meshSubDomain{jDom,iDom}.createBoundaryMesh(); + bD{jDom,iDom} = bIJ; + % hold on + % for iline=1:length(bIJ) + % bIJ{iline}.mesh.plot(); + % end + end + end + obj.interfaceMeshSubDomain = bD; + end + + function createDomainMesh(obj) + s.nSubdomains = obj.nSubdomains; + s.meshReference = obj.meshReference; + s.interfaceMeshSubDomain = obj.interfaceMeshSubDomain; + s.ninterfaces = obj.ninterfaces; + s.meshSubDomain = obj.meshSubDomain; + + s.tolSameNode = obj.tolSameNode; + coupling = InterfaceCoupling(s); + coupling.compute(); + obj.interfaceConnec = coupling.interfaceConnec; + + obj.interfaceConnecReshaped = coupling.interfaceConnecReshaped; + + s.interfaceConnec = coupling.interfaceConnec; + s.tolSameNode = obj.tolSameNode; + + DMesh = DomainMeshComputer(s); + DMesh.compute(); + obj.meshDomain = DMesh.domainMesh; + obj.localGlobalConnec = DMesh.localGlobalConnec; + obj.domainMeshDisc = DMesh.domainMeshDisc; + end + end + +end \ No newline at end of file diff --git a/Preconditioning/DomainDecomposition/lattice_mesh_study.m b/Preconditioning/DomainDecomposition/lattice_mesh_study.m new file mode 100644 index 0000000000..9b431da3d6 --- /dev/null +++ b/Preconditioning/DomainDecomposition/lattice_mesh_study.m @@ -0,0 +1,4 @@ +clear all +close all + + diff --git a/Preconditioning/FEM/Functions/ModalFunction.m b/Preconditioning/FEM/Functions/ModalFunction.m new file mode 100644 index 0000000000..a3fe3a1b50 --- /dev/null +++ b/Preconditioning/FEM/Functions/ModalFunction.m @@ -0,0 +1,134 @@ +classdef ModalFunction < BaseFunction + + properties (Access = public) +% ndimf + nbasis + fValues + basisFunctions + end + + properties (Access = private) + basisValues + functionType + end + + + methods (Access = public) + + function obj = ModalFunction(cParams) + obj.init(cParams) + obj.computeBasisFunctions(); + end + + function fxV = evaluateBasisFunctions(obj,xGLoc) + for ibasis=1:obj.nbasis + phiI = obj.basisFunctions{ibasis}.evaluate(xGLoc); + fxV{ibasis}=phiI; + end + end + + function plot(obj) + p1DiscFun = obj.project('P1D'); + p1DiscFun.plot(); + end + + function MF = restrictBasisToBoundaryMesh(obj,bMesh) + nodes = unique(bMesh.globalConnec(:)); +% s.mesh = mesh; +% s.fValues = zeros(obj.nbasis,1); +% functionType = obj.functionType; + for i=1:obj.nbasis + basis{i} = obj.basisFunctions{i}.fValues(nodes,:); + end + MF = ModalFunction.create(bMesh.mesh,basis,obj.functionType); + end + + + end + + methods (Access = public, Static) + + function MF = create(mesh,basis,functionType) + nbasis = numel(basis); + s.fValues = zeros(nbasis,1); + s.mesh = mesh; + s.basis = basis; + s.functionType = functionType; + MF = ModalFunction(s); + end + + function fS = times(f1,f2) + fS = f1.fValues.*f2.fValues; + s.fValues = fS; + s.mesh = f1.mesh; + fS = ModalFunction(s); + end + + function fS = sum(f1,f2) + fS = f1.fValues+f2.fValues; + s.fValues = fS; + s.mesh = f1.mesh; + fS = ModalFunction(s); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.mesh = cParams.mesh; + obj.ndimf = obj.mesh.ndim; + obj.fValues = cParams.fValues; + obj.basisValues = cParams.basis; + obj.functionType = cParams.functionType; + obj.nbasis = numel(cParams.basis); + end + +% function fvalue = dof2nodesFields(obj,basis) +% nmodes = size(basis,2); +% ndimf = obj.ndimf; +% nnode = obj.mesh.nnodes; +% % for idimf=1:ndimf +% % % aux=reshape(basis(idimf:ndimf:end,:),[nnode nmodes]); +% % aux=basis(idimf:ndimf:end,:); +% % fvalue(:,:,idimf)=aux; +% % end +% +% for imode=1:nmodes +% for idimf=1:ndimf +% fvalue(:,idimf,imode)=basis(idimf:ndimf:end,imode); +% end +% end +% end + + + function computeBasisFunctions(obj) + s.mesh = obj.mesh; + for ibasis=1:obj.nbasis + s.fValues = obj.basisValues{ibasis}; + s.order = obj.functionType{ibasis}; + obj.basisFunctions{ibasis} = LagrangianFunction(s); +% obj.basisFunctions{ibasis} = FunctionFactory.create(s); +% obj.basisFunctions{ibasis} = P1Function(s); +% obj.basisFunctions{ibasis}.plot + end + end + + end + + methods(Access = protected) + + function fxV = evaluateNew(obj, xGLoc) + nelem=obj.mesh.nelem; + sizeaux= [obj.ndimf,size(xGLoc,2),nelem]; + fxV = zeros(sizeaux); + for ibasis = 1:obj.nbasis + fI = obj.fValues(ibasis); + phiI = obj.basisFunctions{ibasis}.evaluate(xGLoc); + fxV = fxV + phiI*fI; + end + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Functions/RigidBodyFunction.m b/Preconditioning/FEM/Functions/RigidBodyFunction.m new file mode 100644 index 0000000000..994f68dd7f --- /dev/null +++ b/Preconditioning/FEM/Functions/RigidBodyFunction.m @@ -0,0 +1,147 @@ +classdef RigidBodyFunction < BaseFunction + + properties (Access = public) +% ndimf + nbasis + basisFunctions + end + + properties (Access = private) + fvalues + refPoint + % mesh + + fun + + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = RigidBodyFunction(cParams) + obj.init(cParams) + obj.basisFunctions{1} = obj.computeHorizontalTranslationBase(); + obj.basisFunctions{2} = obj.computeVerticalTranslationBase(); + obj.basisFunctions{3} = obj.computeRotationBase(); + end + +% function fxV = evaluateNew(obj, xGLoc) +% phiU = obj.basisFunctions{1}.evaluate(xGLoc); +% phiV = obj.basisFunctions{2}.evaluate(xGLoc); +% phiT = obj.basisFunctions{3}.evaluate(xGLoc); +% u = obj.fvalues(1); +% v = obj.fvalues(2); +% theta = obj.fvalues(3); +% fxV = u*phiU + v*phiV + theta*phiT; +% end + + function bE = evaluateBasisFunctions(obj,xGloc) + for i=1:obj.nbasis + bE{i} = obj.basisFunctions{i}.evaluate(xGloc); + end + end + + function plot(obj) + p1DiscFun = obj.project('P1D'); + p1DiscFun.plot(); + end + + function RB = restrictBasisToBoundaryMesh(obj,bMesh) +% nodes = unique(bMesh.globalConnec(:)); + mesh = bMesh.mesh; + RB = RigidBodyFunction.create(mesh,obj.refPoint); +% s.fValues = zeros(obj.nbasis,1); +% s.ndimf = obj.ndimf; +% s.refPoint = obj.refPoint; +% % functionType = obj.functionType; +% for i=1:obj.nbasis +% basis{i} = obj.basisFunctions{i}.fValues(nodes,:); +% end +% RB = RigidBodyFunction.create(bMesh.mesh,basis,obj.functionType); + end + + end + + methods (Access = public, Static) + + function RB = create(mesh,refPoint) + s.ndimf = mesh.ndim; + s.fvalues = zeros(mesh.nnodes, s.ndimf); + s.mesh = mesh; + s.refPoint = refPoint; + RB = RigidBodyFunction(s); + end + + function fS = times(f1,f2) + fS = f1.fValues.*f2.fValues; + s.fValues = fS; + s.mesh = f1.mesh; + fS = RigidBodyFunction(s); + end + + function fS = sum(f1,f2) + fS = f1.fValues+f2.fValues; + s.fValues = fS; + s.mesh = f1.mesh; + fS = RigidBodyFunction(s); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.fvalues = cParams.fvalues; + obj.refPoint = cParams.refPoint; + obj.mesh = cParams.mesh; + obj.ndimf = cParams.ndimf; + obj.nbasis = 3; + end + + function f = computeHorizontalTranslationBase(obj) + s.fHandle = @(x) [ones(size(x(1,:,:)));zeros(size(x(1,:,:)))]; + % obj.ndimf = obj.mesh.ndim; + s.ndimf = obj.ndimf; + s.mesh = obj.mesh; + f = AnalyticalFunction(s); + end + + function f = computeVerticalTranslationBase(obj) + s.fHandle = @(x) [zeros(size(x(1,:,:)));ones(size(x(2,:,:)))]; + % obj.ndimf = obj.mesh.ndim; + s.ndimf = obj.ndimf; + s.mesh = obj.mesh; + f = AnalyticalFunction(s); + end + + function f = computeRotationBase(obj) + x0 = obj.refPoint(1); + y0 = obj.refPoint(2); + s.fHandle = @(x) [-(x(2,:,:)-y0);x(1,:,:)-x0]; + % obj.ndimf = obj.mesh.ndim; + s.ndimf = obj.ndimf; + s.mesh = obj.mesh; + f= AnalyticalFunction(s); + end + + + end + + methods(Access=protected) + + function fxV = evaluateNew(obj, xGLoc) + phiU = obj.basisFunctions{1}.evaluate(xGLoc); + phiV = obj.basisFunctions{2}.evaluate(xGLoc); + phiT = obj.basisFunctions{3}.evaluate(xGLoc); + u = obj.fvalues(1); + v = obj.fvalues(2); + theta = obj.fvalues(3); + fxV = u*phiU + v*phiV + theta*phiT; + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/LHSIntegrator_condition_shape_shape.m b/Preconditioning/FEM/LHSIntegrator_condition_shape_shape.m new file mode 100644 index 0000000000..a6ed954845 --- /dev/null +++ b/Preconditioning/FEM/LHSIntegrator_condition_shape_shape.m @@ -0,0 +1,78 @@ +classdef LHSIntegrator_condition_shape_shape < handle + + properties (Access = private) + boundaryMeshJoined + localGlobalConnecBd + quadType + quadrature + nnodes + end + + methods (Access = public) + + function obj = LHSIntegrator_condition_shape_shape(cParams) + obj.init(cParams); + end + + function LHS = compute(obj,trial,test) + obj.createQuadrature(trial,test) + LHS = obj.computeBoundaryMassMatrix(trial,test); + end + + end + + methods (Access = protected) + + function init(obj,cParams) + obj.quadType = cParams.quadType; + obj.boundaryMeshJoined = cParams.boundaryMeshJoined; + obj.localGlobalConnecBd = cParams.localGlobalConnecBd; + obj.nnodes = cParams.nnodes; + end + + function Mr = computeBoundaryMassMatrix(obj,trial,test) + nDofs = obj.nnodes*trial.ndimf; + lhsg = sparse(nDofs,trial.nDofs); + a.type = 'MassMatrix'; + a.mesh = obj.boundaryMeshJoined; + + a.test = test; + a.trial = trial; + + + lhs = LHSIntegrator.create(a); + + lhs = lhs.compute(); + [iLoc,jLoc,vals] = find(lhs); + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + jGlob = l2g_dof(jLoc); + iGlob = l2g_dof(iLoc); + lhsg = lhsg + sparse(iGlob,jLoc,vals, nDofs, trial.nDofs); + + % local2global(sL.mesh.connec(:)) = sL.bMesh.globalConnec(:); + % [iLoc,jLoc,vals] = find(LHS); % !!! iLoc, jLoc should come from P1Fun + % iGlob = local2global(iLoc); + % jGlob = local2global(jLoc); + + % LHSadd = sparse(iGlob,jGlob,vals, ndof, ndof); + % LHSg = LHSg + LHSadd; + Mr = lhsg; + end + + function createQuadrature(obj,fun,test) + if isempty(obj.quadType) + orderTr = fun.getOrderNum(); + orderTe = test.getOrderNum(); + order = orderTr + orderTe; + else + order = obj.quadType; + end + q = Quadrature.create(obj.boundaryMeshJoined,order); + obj.quadrature = q; + end + + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/Coarse.m b/Preconditioning/FEM/Problem/Preconditioners/Coarse.m new file mode 100644 index 0000000000..e397373af1 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/Coarse.m @@ -0,0 +1,213 @@ +classdef Coarse < handle + + properties (Access = public) + + end + + properties (Access = private) + RVE + mesh + DirCond + end + + properties (Access = private) + LHS + U + Kel + boundaryConditions + bcApplier + assembler + dispFun + Kmodal + reactions + end + + methods (Access = public) + + function obj = Coarse(cParams) + obj.init(cParams) + LHS = obj.computeLHS(); + obj.LHS = LHS; + obj.createBoundaryConditions(); + ss.mesh = obj.mesh; + ss.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(ss); + obj.reactions = obj.computeReactions(); + end + + function u = apply(obj,r) + Fcoarse = obj.projectExternalForce(r); + RHS = obj.assembleRHSvector(Fcoarse); + LHSred = obj.bcApplier.fullToReducedMatrixDirichlet(obj.LHS); + RHSred = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + uRed = LHSred\RHSred; + uCoarse = obj.bcApplier.reducedToFullVectorDirichlet(uRed); +% obj.plotSolution(uCoarse,obj.mesh,100,1,obj.iter,0) + u = obj.reconstructSolution(uCoarse); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.mesh = cParams.mesh; + obj.RVE = cParams.RVE; + %obj.Kel = repmat(obj.RVE.Kcoarse,[1,1,obj.mesh.nelem]); + obj.DirCond = cParams.DirCond; + + obj.Kel = []; + obj.U = []; + + for i=1:size(obj.RVE,1) + for j=1:size(obj.RVE,2) + obj.Kel = cat(3, obj.Kel, obj.RVE{i,j}.Kcoarse); + obj.U = cat(3, obj.U, obj.RVE{i,j}.U); + end + end + + + + + obj.dispFun = LagrangianFunction.create(obj.mesh,obj.RVE{1,1}.ndimf,'P1'); + %obj.dispFun = LagrangianFunction.create(obj.mesh, obj.RVE{1,1}.ndimf,'P1'); + + end + + function dim = getDims(obj) + d.ndimf = obj.RVE.ndimf; + d.nnodes = size(obj.mesh.coord, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function LHS = computeLHS(obj) + LHS = obj.assembleMatrix(); + end + + function LHS = assembleMatrix(obj) + s.fun = obj.dispFun; % !!! + trial = s.fun; + test = trial; + obj.assembler = AssemblerFun(s); + LHS = obj.assembler.assemble(obj.Kel, test, trial); + end + + function RHS = assembleRHSvector(obj,F) + Fcoarse = reshape(F,1,obj.dispFun.nDofsElem,[]); + Fcoarse = permute(Fcoarse,[2 1 3]); + fun = []; + RHS = obj.assembler.assembleV(Fcoarse,fun); + + end + + function R = computeReactions(obj) + bc = obj.boundaryConditions; + dirich = bc.dirichlet_dofs; + dirichV = bc.dirichlet_vals; + if ~isempty(dirich) + R = -obj.LHS(:,dirich)*dirichV; %% + else + R = zeros(sum(obj.dim.ndofs(:)),1); + end + end + + function createBoundaryConditions(obj) + dirichletFun = []; + for i = 1:numel(obj.DirCond) + dir = DirichletCondition(obj.mesh, obj.DirCond{i}); + dirichletFun = [dirichletFun, dir]; + end + + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); +% bM = obj.mesh.createBoundaryMesh(); + +% dirichletBc.boundaryId=1; +% dirichletBc.dof=[1,2]; +% dirichletBc.value=[0,0]; +% % newmanBc.boundaryId=2; +% % newmanBc.dof=[2]; +% % newmanBc.value=[10]; +% newmanBc= []; +% +% [dirichlet,pointload] = obj.createBc(bM,dirichletBc,newmanBc); +% bc.dirichlet=dirichlet; +% bc.pointload=pointload; + obj.boundaryConditions = bc; + end + + function Fcoarse = projectExternalForce(obj,Ffine) + %-------------------------------------------- + Fcoarse = []; + a = 1; + for i = 1:size(obj.RVE,1) + for j = 1:size(obj.RVE,2) + Fcoarse = cat(3, Fcoarse, obj.U(:,:,a)'*Ffine(:,a)); + a = a+1; + end + + end + %Ut = obj.U'; + %Fcoarse = Ut*Ffine; + end + + function u = reconstructSolution(obj,uCoarse) + nElem = obj.mesh.nelem; + dofConec = obj.dispFun.getDofConnec(); + % for ielem = 1:nElem + % uCelem = uCoarse(dofConec(ielem,:)); + % u(:,ielem) = obj.RVE.U*uCelem; + % end + + ielem = 1; + for i = 1:size(obj.RVE,1) + for j = 1:size(obj.RVE,2) + uCelem = uCoarse(dofConec(ielem,:)); + u(:,ielem) = obj.RVE{i,j}.U*uCelem; + ielem = ielem+1; + end + end + end + + function plotSolution(obj,x,mesh,row,col,iter,flag) + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end +% + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = obj.dispFun.order; + xF = LagrangianFunction(s); +% xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/EIFEM.m b/Preconditioning/FEM/Problem/Preconditioners/EIFEM.m new file mode 100644 index 0000000000..b831d319e9 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/EIFEM.m @@ -0,0 +1,182 @@ +classdef EIFEM < handle + + properties (Access = public) + + end + + properties (Access = private) + RVE + mesh + DirCond + end + + properties (Access = private) + LHS + Kel + boundaryConditions + bcApplier + assembler + dispFun + Kmodal + reactions + end + + methods (Access = public) + + function obj = EIFEM(cParams) + obj.init(cParams) + LHS = obj.computeLHS(); + obj.LHS = LHS; + obj.createBoundaryConditions(); + ss.mesh = obj.mesh; + ss.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(ss); + obj.reactions = obj.computeReactions(); + end + + function u = apply(obj,r) + Fcoarse = obj.projectExternalForce(r); + RHS = obj.assembleRHSvector(Fcoarse); + LHSred = obj.bcApplier.fullToReducedMatrixDirichlet(obj.LHS); + RHSred = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + uRed = LHSred\RHSred; + uCoarse = obj.bcApplier.reducedToFullVectorDirichlet(uRed); +% obj.plotSolution(uCoarse,obj.mesh,100,1,obj.iter,0) + u = obj.reconstructSolution(uCoarse); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.mesh = cParams.mesh; + obj.RVE = cParams.RVE; + obj.Kel = repmat(obj.RVE.Kcoarse,[1,1,obj.mesh.nelem]); + obj.DirCond = cParams.DirCond; + obj.dispFun = LagrangianFunction.create(obj.mesh, obj.RVE.ndimf,'P1'); + end + + function dim = getDims(obj) + d.ndimf = obj.RVE.ndimf; + d.nnodes = size(obj.mesh.coord, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function LHS = computeLHS(obj) + LHS = obj.assembleMatrix(); + end + + function LHS = assembleMatrix(obj) + s.fun = obj.dispFun; % !!! + trial = s.fun; + test = trial; + obj.assembler = AssemblerFun(s); + LHS = obj.assembler.assemble(obj.Kel, test, trial); + end + + function RHS = assembleRHSvector(obj,F) + Fcoarse = reshape(F,1,obj.dispFun.nDofsElem,[]); + Fcoarse = permute(Fcoarse,[2 1 3]); + fun = []; + RHS = obj.assembler.assembleV(Fcoarse,fun); + + end + + function R = computeReactions(obj) + bc = obj.boundaryConditions; + dirich = bc.dirichlet_dofs; + dirichV = bc.dirichlet_vals; + if ~isempty(dirich) + R = -obj.LHS(:,dirich)*dirichV; + else + R = zeros(sum(obj.dim.ndofs(:)),1); + end + end + + function createBoundaryConditions(obj) + dirichletFun = []; + for i = 1:numel(obj.DirCond) + dir = DirichletCondition(obj.mesh, obj.DirCond{i}); + dirichletFun = [dirichletFun, dir]; + end + + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); +% bM = obj.mesh.createBoundaryMesh(); + +% dirichletBc.boundaryId=1; +% dirichletBc.dof=[1,2]; +% dirichletBc.value=[0,0]; +% % newmanBc.boundaryId=2; +% % newmanBc.dof=[2]; +% % newmanBc.value=[10]; +% newmanBc= []; +% +% [dirichlet,pointload] = obj.createBc(bM,dirichletBc,newmanBc); +% bc.dirichlet=dirichlet; +% bc.pointload=pointload; + obj.boundaryConditions = bc; + end + + function Fcoarse = projectExternalForce(obj,Ffine) + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + Ut = (Udef + Urb)'; + Fcoarse = Ut*Ffine; + end + + function u = reconstructSolution(obj,uCoarse) + nElem = obj.mesh.nelem; + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + U = Udef + Urb; + dofConec = obj.dispFun.getDofConnec(); + for ielem = 1:nElem + uCelem = uCoarse(dofConec(ielem,:)); + u(:,ielem) = U*uCelem; + end + end + + function plotSolution(obj,x,mesh,row,col,iter,flag) + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end +% + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = obj.dispFun.order; + xF = LagrangianFunction(s); +% xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/EIFEM_trying_ideas.m b/Preconditioning/FEM/Problem/Preconditioners/EIFEM_trying_ideas.m new file mode 100644 index 0000000000..4bba495974 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/EIFEM_trying_ideas.m @@ -0,0 +1,202 @@ +classdef EIFEM_trying_ideas < handle + + properties (Access = public) + + end + + properties (Access = private) + RVE + mesh + DirCond + end + + properties (Access = private) + LHS + Kel + boundaryConditions + bcApplier + assembler + dispFun + Kmodal + reactions + end + + methods (Access = public) + + function obj = EIFEM_trying_ideas(cParams) + obj.init(cParams) + LHS = obj.computeLHS(); + obj.LHS = LHS; + obj.createBoundaryConditions(); + ss.mesh = obj.mesh; + ss.boundaryConditions = obj.boundaryConditions; + obj.bcApplier = BCApplier(ss); + obj.reactions = obj.computeReactions(); + end + + function u = apply(obj,r) + Fcoarse = obj.projectExternalForce(r); + RHS = obj.assembleRHSvector(Fcoarse); + LHSred = obj.bcApplier.fullToReducedMatrixDirichlet(obj.LHS); + RHSred = obj.bcApplier.fullToReducedVectorDirichlet(RHS); + uRed = LHSred\RHSred; + uCoarse = obj.bcApplier.reducedToFullVectorDirichlet(uRed); +% obj.plotSolution(uCoarse,obj.mesh,100,1,obj.iter,0) + u = obj.reconstructSolution(uCoarse); + end + + function u = applySubdomainNeumannDeformational(obj,r) + Fmodal = obj.RVE.PhiDef'*r; + uModal = obj.Kmodal\Fmodal; + u = obj.RVE.PhiDef*uModal; + end + + function u = applySubdomainNeumannRigidBody(obj,r) + Frb = obj.RVE.PhiRb'*r; + uRb = obj.RVE.Grb\Frb; + u = obj.RVE.PhiRb*uRb; + end + + function U = getProjectionMatrix(obj) + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + U = (Udef + Urb); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.mesh = cParams.mesh; + obj.RVE = cParams.RVE; + obj.Kel = repmat(obj.RVE.Kcoarse,[1,1,obj.mesh.nelem]); + obj.DirCond = cParams.DirCond; + obj.dispFun = LagrangianFunction.create(obj.mesh, obj.RVE.ndimf,'P1'); +% Kfine = cParams.Kfine; +% obj.Kmodal = obj.RVE.PhiDef'*Kfine*obj.RVE.PhiDef; + end + + function dim = getDims(obj) + d.ndimf = obj.RVE.ndimf; + d.nnodes = size(obj.mesh.coord, 1); + d.ndofs = d.nnodes*d.ndimf; + d.nnodeElem = obj.mesh.nnodeElem; % should come from interp.. + d.ndofsElem = d.nnodeElem*d.ndimf; + dim = d; + end + + function LHS = computeLHS(obj) + LHS = obj.assembleMatrix(); + end + + function LHS = assembleMatrix(obj) + s.fun = obj.dispFun; % !!! + trial = s.fun; + test = trial; + obj.assembler = AssemblerFun(s); + LHS = obj.assembler.assemble(obj.Kel, test, trial); + end + + function RHS = assembleRHSvector(obj,F) + Fcoarse = reshape(F,1,obj.dispFun.nDofsElem,[]); + Fcoarse = permute(Fcoarse,[2 1 3]); + fun = []; + RHS = obj.assembler.assembleV(Fcoarse,fun); + + end + + function R = computeReactions(obj) + bc = obj.boundaryConditions; + dirich = bc.dirichlet_dofs; + dirichV = bc.dirichlet_vals; + if ~isempty(dirich) + R = -obj.LHS(:,dirich)*dirichV; + else + R = zeros(sum(obj.dim.ndofs(:)),1); + end + end + + function createBoundaryConditions(obj) + dirichletFun = []; + for i = 1:numel(obj.DirCond) + dir = DirichletCondition(obj.mesh, obj.DirCond{i}); + dirichletFun = [dirichletFun, dir]; + end + + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); +% bM = obj.mesh.createBoundaryMesh(); + +% dirichletBc.boundaryId=1; +% dirichletBc.dof=[1,2]; +% dirichletBc.value=[0,0]; +% % newmanBc.boundaryId=2; +% % newmanBc.dof=[2]; +% % newmanBc.value=[10]; +% newmanBc= []; +% +% [dirichlet,pointload] = obj.createBc(bM,dirichletBc,newmanBc); +% bc.dirichlet=dirichlet; +% bc.pointload=pointload; + obj.boundaryConditions = bc; + end + + function Fcoarse = projectExternalForce(obj,Ffine) + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + Ut = (Udef + Urb)'; + Fcoarse = Ut*Ffine; + end + + function u = reconstructSolution(obj,uCoarse) + nElem = obj.mesh.nelem; + Udef = obj.RVE.Udef; + Urb = obj.RVE.Urb; + U = Udef + Urb; + dofConec = obj.dispFun.getConnec(); + for ielem = 1:nElem + uCelem = uCoarse(dofConec(ielem,:)); + u(:,ielem) = U*uCelem; + end + end + + function plotSolution(obj,x,mesh,row,col,iter,flag) + if nargin <7 + flag =0; + end + % xFull = bc.reducedToFullVector(x); + if size(x,2)==1 + s.fValues = reshape(x,2,[])'; + else + s.fValues = x; + end +% + + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 2; + s.order = obj.dispFun.order; + xF = LagrangianFunction(s); +% xF.plot(); + if flag == 0 + xF.print(['domain',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 1 + xF.print(['DomainResidual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 2 + xF.print(['Residual',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 3 + xF.print(['domainFine',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + elseif flag == 4 + xF.print(['domainNeuman',num2str(row),num2str(col),'_',num2str(iter)],'Paraview') + end + fclose('all'); + end + + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/Preconditioner.m b/Preconditioning/FEM/Problem/Preconditioners/Preconditioner.m new file mode 100755 index 0000000000..17510e6328 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/Preconditioner.m @@ -0,0 +1,83 @@ +classdef Preconditioner < handle + + methods (Access = public, Static) + + function M = create(cParams) + + switch cParams.type + case {'Jacobi'} + M = PreconditionerJacobi(cParams); + case {'GaussSeidel'} + M = PreconditionerGaussSeidel(cParams); + case {'ILU'} + M = PreconditionerILU(cParams); + case {'EIFEM'} + M = PreconditionerEIFEM(cParams); + case {'Coarse'} + M = PreconditionerCoarse(cParams); + case {'MODAL'} + M = PreconditionerModalApproximation(cParams); + case {'DirichletNeumann'} + M = PreconditionerDirichletNeumann(cParams); + case {'BNN'} + M = PreconditionerDirichletNeumann(cParams); + otherwise + error('Invalid preconditioner type.') + end + end + + + function z = multiplePrec(r,P1,P2,P3,A,b,mesh,bcApplier) + + + z1 = P1(r); + r = r-A(z1); + z2 = P2(r); + r = r-A(z2); + z3 = P3(r); + z = z1+z2+z3; + + % J1 = EIFEMtesting.computeTotalEnergy(z1,A,b) + % J2 = EIFEMtesting.computeTotalEnergy(z1+z2,A,b) + % J3 = EIFEMtesting.computeTotalEnergy(z1+z2+z3,A,b) + + % EIFEMtesting.plotSolution(z1,mesh,10,10,1,bcApplier,0) + % EIFEMtesting.plotSolution(z1+z2,mesh,10,10,2,bcApplier,0) + % EIFEMtesting.plotSolution(z1+z2+z3,mesh,10,10,3,bcApplier,0) + % EIFEMtesting.plotSolution(z,mesh,10,10,3,bcApplier,0) + end + + function z = multiplePrec2(r,P1,P2,A) + z1 = P1(r); + r = r-A(z1); + z2 = P2(r); + z = z1+z2; + end + + function z = additivePrec(r,P1,P2) + z1 = P1(r); + z2 = P2(r); + z = z1+z2; + end + + function x = InexactCG(r,A,P,b) + x0 = zeros(size(r)); + + factor = 0.99; + tol = factor*norm(r); +% +% x = PCG.solve(A,r,x0,P,tol); + +% tau = @(r,A) 1; + tau = @(r,A) r'*r/(r'*A(r)); + x = RichardsonSolver.solve(A,r,x0,P,tol,tau); + + + + end + + end + +end + + diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerCoarse.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerCoarse.m new file mode 100644 index 0000000000..d66df2792d --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerCoarse.m @@ -0,0 +1,64 @@ +classdef PreconditionerCoarse < handle + + properties (Access = public) + + end + + properties (Access = private) + CoarseFilename + weight + Coarsesolver + end + + properties (Access = private) + LHS + bcApplier + dir + ddDofManager + dMesh + iter + end + + methods (Access = public) + + function obj = PreconditionerCoarse(cParams) + obj.init(cParams); + end + + function z = apply(obj,r) + Rd = obj.computeDiscontinousField(r); + uD = obj.Coarsesolver.apply(Rd); + uC = obj.computeContinousField(uD); + z = uC; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.ddDofManager = cParams.ddDofManager; + obj.Coarsesolver = cParams.Coarsesolver; + obj.bcApplier = cParams.bcApplier; + obj.weight = 0.5; + obj.dMesh = cParams.dMesh; + obj.iter = 1; + end + + + function Rd = computeDiscontinousField(obj,Rc) + RG = obj.bcApplier.reducedToFullVectorDirichlet(Rc); + Rd = obj.ddDofManager.global2local(RG); %dissemble + Rd = obj.ddDofManager.scaleInterfaceValues(Rd,obj.weight); %scale + end + + function uC = computeContinousField(obj,uD) + fS = obj.ddDofManager.scaleInterfaceValues(uD,obj.weight); %scale + fG = obj.ddDofManager.local2global(fS); %assemble + uC = sum(fG,2); %assemble + uC = obj.bcApplier.fullToReducedVectorDirichlet(uC); + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerDirichletNeumann.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerDirichletNeumann.m new file mode 100644 index 0000000000..0ea1345a66 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerDirichletNeumann.m @@ -0,0 +1,264 @@ +classdef PreconditionerDirichletNeumann < handle + + properties (Access = public) + + end + + properties (Access = private) + subdomainLHS + isDirichlet + sBCApplier + dirList + neuList + end + + properties (Access = private) + LHS + bcApplier + DirCond + ddDofManager + RHS + weight + subdomainMesh + LHSreduced + meshDomain + end + + methods (Access = public) + + function obj = PreconditionerDirichletNeumann(cParams) + obj.init(cParams); + obj.createSubdomainsBCappliers(); + sLHS = obj.computeSubdomainLHS(); + obj.subdomainLHS = obj.computeSubdomainLHSreduced(sLHS); + % obj.DirichletNeumannSolver(); + + % + + % % obj.obtainCornerNodes(); + % % fineMesh = MeshFromRVE + % obj.createSubDomainMeshes(); + % obj.createInterfaceSubDomainMeshes(); + % obj.createDomainMesh(); + + + % s.referenceMesh = obj.referenceMesh; + % mC = MeshCreatorFromSubmeshes(); + % obj.meshDomain = mC.mesh; + + % preconditioner = obj.createPreconditioner(mC.submeshes); + + end + + function z = apply(obj,r) + + lhsS = obj.LHS; + rR = obj.bcApplier.reducedToFullVectorDirichlet(r); + rS = obj.ddDofManager.global2local(rR); + + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.ddDofManager = cParams.ddDofManager; + obj.bcApplier = cParams.bcApplier; + obj.weight = 0.5; + obj.DirCond = cParams.DirCond; + obj.LHS = cParams.LHS; + obj.subdomainMesh = cParams.subdomainMesh; + obj.meshDomain = cParams.meshDomain; + obj.isDirichlet{1} = false; + obj.isDirichlet{2} = true; + end + + function createSubdomainsBCappliers(obj) + obj.dirList = []; + obj.neuList = []; + for iS = 1:numel(obj.subdomainMesh) + sMesh = obj.subdomainMesh{iS}; + + hasDirichlet = []; + for iDir = 1:numel(obj.DirCond) + isCoord = obj.DirCond{iDir}.domain(sMesh.coord); + hasDirichlet = [hasDirichlet,isCoord]; + end + dirichletFun = []; + if any(hasDirichlet(:)) + obj.neuList(end+1) = iS; + for iDir = 1:numel(obj.DirCond) + dir = DirichletCondition(sMesh, obj.DirCond{iDir}); + dirichletFun = [dirichletFun, dir]; + end + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = sMesh; + bc = BoundaryConditions(s); + else + obj.dirList(end+1) = iS; + intDom = obj.ddDofManager.interfaceDom; + intConec = obj.ddDofManager.intConecLocal; + ic = 0; + Dir = {}; + for iInt = 1:length(intDom) + intDomI = intDom(iInt,:); + isD = find(intDomI == iS); + + if ~isempty(isD) + nod = intConec(:,isD,iInt); + coordInt = obj.subdomainMesh{iS}.coord(nod,:); + meanCoordIntX = mean(coordInt(:,1)); + + + isLeft = @(coor) (abs(coor(:,1) - meanCoordIntX) < 1e-12); + Dir{ic+1}.domain = @(coor) isLeft(coor) ; + Dir{ic+1}.direction = [1,2]; + Dir{ic+1}.value = 0; + ic = ic+1; + end + end + + for iDir = 1:numel(Dir) + dir = DirichletCondition(sMesh, Dir{iDir}); + dirichletFun = [dirichletFun, dir]; + end + s.pointloadFun = []; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = sMesh; + bc = BoundaryConditions(s); + end + + sD.mesh = sMesh; + sD.boundaryConditions = bc; + obj.sBCApplier{iS} = BCApplier(sD); + end + end + + function lhsR = computeSubdomainLHSreduced(obj,subdomainLHS) + for iS = 1:numel(obj.subdomainMesh) + lhs = subdomainLHS(:,:,iS); + bc = obj.sBCApplier{iS}; + lhsR{iS} = bc.fullToReducedMatrixDirichlet(lhs); + end + end + + + function subdomainLHS = computeSubdomainLHS(obj) + sLHS = obj.ddDofManager.global2localMatrix(obj.LHS); + subdomainLHS = obj.ddDofManager.scaleInterfaceValuesMatrix(sLHS,obj.weight); + end + + function solve(obj,F,list) + for iS = 1:length(list) + dom = list(iS); + lhs = obj.subdomainLHS(:,:,dom); + f = F(dom); + u = lhs\f; + ug = obj.sBCApplier{dom}.reducedToFullVectorDirichlet(u); + end + end + + function [Dir,PL] = createRawBoundaryConditions(obj) + isLeft = @(coor) (abs(coor(:,1) - min(coor(:,1))) < 1e-12); + isRight = @(coor) (abs(coor(:,1) - max(coor(:,1))) < 1e-12); + isBottom = @(coor) (abs(coor(:,2) - min(coor(:,2))) < 1e-12); + isTop = @(coor) (abs(coor(:,2) - max(coor(:,2))) < 1e-12); + % isMiddle = @(coor) (abs(coor(:,2) - max(coor(:,2)/2)) == 0); + Dir{1}.domain = @(coor) isLeft(coor)| isRight(coor) ; + Dir{1}.direction = [1,2]; + Dir{1}.value = 0; + + % Dir{2}.domain = @(coor) isRight(coor) ; + % Dir{2}.direction = [2]; + % Dir{2}.value = 0; + + PL.domain = @(coor) isTop(coor); + PL.direction = 2; + PL.value = -0.1; + end + + function [bc,Dir,PL] = createBoundaryConditions(obj,mesh) + [Dir,PL] = obj.createRawBoundaryConditions(); + dirichletFun = []; + for i = 1:numel(Dir) + dir = DirichletCondition(obj.meshDomain, Dir{i}); + dirichletFun = [dirichletFun, dir]; + end + + pointload = PointLoad(mesh,PL); + % need this because force applied in the face not in a point + pointload.values = pointload.values/size(pointload.dofs,1); + fvalues = zeros(mesh.nnodes*mesh.ndim,1); + fvalues(pointload.dofs) = pointload.values; + fvalues = reshape(fvalues,mesh.ndim,[])'; + pointload.fun.fValues = fvalues; + + s.pointloadFun = pointload; + s.dirichletFun = dirichletFun; + s.periodicFun =[]; + s.mesh = mesh; + bc = BoundaryConditions(s); + end + + + function DirichletNeumannSolver(obj) + tol=1e-8; + e=1; + theta = 3/4; + iter=1; + while e>tol + % for i=1:obj.nSubdomains(1) + obj.computeForces(2); + Kred = obj.boundaryConditions{2}.fullToReducedMatrix(obj.LHS{2}); + Fred = obj.boundaryConditions{2}.fullToReducedVector(obj.RHS{2}); + u{2} = Kred\Fred; + u{2} = obj.boundaryConditions{2}.reducedToFullVector(u{2}); + R = obj.RHS{2}-0*obj.LHS{2}*u{2}; + obj.plotSolution(R,obj.meshSubDomain{2}, 2,iter) + % obj.plotSolution(u{2},obj.meshSubDomain{2}, 2,iter) + + obj.computeForces(1); + R_int = obj.LHS{2}(obj.interfaceDof(:,2),:)*u{2}; + obj.RHS{1}(obj.interfaceDof(:,1)) = obj.RHS{1}(obj.interfaceDof(:,1)) - R_int; + + Kred = obj.boundaryConditions{1}.fullToReducedMatrix(obj.LHS{1}); + Fred = obj.boundaryConditions{1}.fullToReducedVector(obj.RHS{1}); + u{1} = Kred\Fred; + u{1} = obj.boundaryConditions{1}.reducedToFullVector(u{1}); + R = obj.RHS{1}-0*obj.LHS{1}*u{1}; + obj.plotSolution(R,obj.meshSubDomain{1}, 1,iter) + % obj.plotSolution(u{1},obj.meshSubDomain{1}, 1,iter) + + u1int = theta*u{2}(obj.interfaceDof(:,2)) + (1-theta)*u{1}(obj.interfaceDof(:,1)); + + for idof = 1: length(obj.interfaceDof(:,2)) + ind = find(obj.boundaryConditions{2}.dirichlet == obj.interfaceDof(idof,2)); + obj.boundaryConditions{2}.dirichlet_values(ind) = u1int(idof); + end + + e = norm(u1int-u{2}(obj.interfaceDof(:,2))); + + iter=iter+1; + % end + end + end + + function plotSolution(obj,x,mesh,domain,iter) + % xFull = bc.reducedToFullVector(x); + s.fValues = reshape(x,2,[])'; + s.mesh = mesh; + s.fValues(:,end+1) = 0; + s.ndimf = 3; + xF = P1Function(s); + % xF.plot(); + xF.print(['domain',num2str(domain),'_',num2str(iter)],'Paraview') + fclose('all'); + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerEIFEM.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerEIFEM.m new file mode 100644 index 0000000000..1ab624e327 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerEIFEM.m @@ -0,0 +1,70 @@ +classdef PreconditionerEIFEM < handle + + properties (Access = public) + + end + + properties (Access = private) + EIFEMfilename + weight + EIFEMsolver + end + + properties (Access = private) + LHS + bcApplier + dir + ddDofManager + dMesh + iter + end + + methods (Access = public) + + function obj = PreconditionerEIFEM(cParams) + obj.init(cParams); + end + + function z = apply(obj,r,uk) + uk = obj.bcApplier.reducedToFullVectorDirichlet(uk); + uk = obj.ddDofManager.global2local(uk); %dissemble + uk = reshape(uk,[],1); + Rd = obj.computeDiscontinousField(r); + uD = obj.EIFEMsolver.apply(Rd); + u = reshape(uD,[],1); +% EIFEMtesting.plotSolution(u+uk,obj.dMesh,21,5,obj.iter,[],0) + obj.iter = obj.iter+1; + uC = obj.computeContinousField(uD); + z = uC; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.ddDofManager = cParams.ddDofManager; + obj.EIFEMsolver = cParams.EIFEMsolver; + obj.bcApplier = cParams.bcApplier; + obj.weight = 0.5; + obj.dMesh = cParams.dMesh; + obj.iter = 1; + end + + + function Rd = computeDiscontinousField(obj,Rc) + RG = obj.bcApplier.reducedToFullVectorDirichlet(Rc); + Rd = obj.ddDofManager.global2local(RG); %dissemble + Rd = obj.ddDofManager.scaleInterfaceValues(Rd,obj.weight); %scale + end + + function uC = computeContinousField(obj,uD) + fS = obj.ddDofManager.scaleInterfaceValues(uD,obj.weight); %scale + fG = obj.ddDofManager.local2global(fS); %assemble + uC = sum(fG,2); %assemble + uC = obj.bcApplier.fullToReducedVectorDirichlet(uC); + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerEIFEMcontinous.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerEIFEMcontinous.m new file mode 100644 index 0000000000..de9f026591 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerEIFEMcontinous.m @@ -0,0 +1,191 @@ +classdef PreconditionerEIFEMcontinous < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + EIFEMfilename + weight + nSubdomains + EIFEMsolver + ddDofManager + end + + properties (Access = private) + coarseMesh + LHS + bcApplier + dir + end + + methods (Access = public) + + function obj = PreconditionerEIFEMcontinous(cParams) + obj.init(cParams); + obj.createEIFEM(); + end + + + function z = solveEIFEM(obj,r) + RGsbd = obj.computeSubdomainResidual(r); + uSbd = obj.EIFEMsolver.apply(RGsbd); + z = obj.computeContinousField(uSbd); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + obj.ddDofManager = cParams.ddDofManager; + obj.nSubdomains = cParams.nSubdomains; + obj.coarseMesh = cParams.coarseMesh; + obj.bcApplier = cParams.bcApplier; + obj.dir = cParams.dir; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/RAUL_rve_10_may_2024/EXAMPLE/EIFE_LIBRARY/DEF_Q4porL_2s_1.mat'; + obj.EIFEMfilename = 'DEF_Q4porL_1.mat'; + % obj.EIFEMfilename = '/home/raul/Documents/Thesis/EIFEM/05_HEXAG2D/EIFE_LIBRARY/DEF_Q4auxL_1.mat'; + obj.weight = 0.5; + end + + function createEIFEM(obj) + filename = obj.EIFEMfilename; + RVE = TrainedRVE(filename); + s.RVE = RVE; + s.mesh = obj.coarseMesh; + s.DirCond = obj.dir; + eifem = EIFEM(s); + obj.EIFEMsolver = eifem; + end + + function uInt = computeInterfaceDisp(obj,u) + nint = size(obj.ddDofManager.interfaceDof,3); + uInt = zeros(size(obj.ddDofManager.interfaceDof,1),nint); + w = [obj.weight,1- obj.weight]; + for iint = 1:nint + ndom = size(obj.ddDofManager.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.ddDofManager.interfaceDom(iint,idom); + unodal = u(:,dom); + dof = obj.ddDofManager.interfaceDof(:,idom,iint); + uInt(:,iint) = uInt(:,iint) + w(idom)*unodal(dof); + end + end + end + + function u = smoothDisplacement(obj,u,uInterface) + uG = obj.ddDofManager.local2global(u); + uG = sum(uG,2); + u = obj.updateInterfaceValues(uG,uInterface); + end + + function u = updateInterfaceValues(obj,u,uInterface) + nint = size(obj.ddDofManager.interfaceDof,3); + for iint = 1:nint + dom = obj.ddDofManager.interfaceDom(iint,1); + dof = obj.ddDofManager.interfaceDof(:,1,iint); + row = ceil(dom/obj.nSubdomains(1)); + col = dom-(row-1)*obj.nSubdomains(1); + locGlobConnec = obj.ddDofManager.localGlobalDofConnec{row,col}; + [~,ind] = ismember(dof,locGlobConnec(:,2)); + dofGlob = locGlobConnec(ind,1); + u(dofGlob) = uInterface(:,iint); + end + end + + function R = scaleInterfaceValues(obj,R) + nint = size(obj.ddDofManager.interfaceDof,3); + uInt = zeros(size(obj.ddDofManager.interfaceDof,1),nint); + w = [obj.weight,1-obj.weight]; + for iint = 1:nint + ndom = size(obj.ddDofManager.interfaceDof(:,:,iint),2); + for idom = 1:ndom + dom = obj.ddDofManager.interfaceDom(iint,idom); + Rnodal = R(:,dom); + dof = obj.ddDofManager.interfaceDof(:,idom,iint); + R(dof,dom) = w(idom)* R(dof,dom); + end + end + end + + function Rsbd = computeSubdomainResidual(obj,R) + RG = obj.bcApplier.reducedToFullVectorDirichlet(R); + % obj.plotSolution(RG,obj.meshDomain,0,1,iter,1) + RGsbd = obj.ddDofManager.global2local(RG); + Rsbd = obj.scaleInterfaceValues(RGsbd); + end + + function fc = computeContinousField(obj,f) + fInt = obj.computeInterfaceDisp(f); + fc = obj.smoothDisplacement(f,fInt); + fc = obj.bcApplier.fullToReducedVectorDirichlet(fc); + end + + function Ug = computeAssembledProjectionMatrix(obj) + Ueifem = obj.EIFEMsolver.getProjectionMatrix(); + Ueifem = repmat(Ueifem,1,obj.nSubdomains(1)*obj.nSubdomains(2)); + Ueifem = obj.scaleProjectionMatrix(Ueifem); + Ug = obj.assembleProjectionMatrix(Ueifem); + end + + function U = scaleProjectionMatrix(obj,U) + nDofcoarse = size(U,2)/obj.nSubdomains(1)*obj.nSubdomains(2); + for i=1: nDofcoarse + Usbd = U(:,i:nDofcoarse:end); + Usbd = obj.scaleInterfaceValues(Usbd); + U(:,i:nDofcoarse:end)= Usbd; + end + end + + + function Ug = assembleProjectionMatrix(obj,U) + nsbd = obj.nSubdomains(1)*obj.nSubdomains(2); + nDofcoarse = size(U,2)/nsbd; + Ug = zeros(obj.ddDofManager.nDof,nDofcoarse*nsbd); + for i=1: nDofcoarse + Usbd = U(:,i:nDofcoarse:end); + Uaux = obj.local2global(Usbd); + Ug(:,i:nDofcoarse:end)= Uaux; + end + Ug = sparse(Ug); + end + + function computeKEIFEMglobal(obj) + U = obj.computeAssembledProjectionMatrix(); + % U = U(:,9:end); + obj.EIFEMprojection = obj.computeReducedProjection(U); + LHS = obj.bcApplier.fullToReducedMatrixDirichlet(obj.LHS); + obj.KeifemContinuous = obj.EIFEMprojection'*LHS*obj.EIFEMprojection; + + end + + function Ured = computeReducedProjection(obj,U) + ncol = size(U,2); + for i=1:ncol + Ured(:,i) = obj.bcApplier.fullToReducedVectorDirichlet(U(:,i)); + end + end + + function z = solveMEIFEMcontinuous(obj,r) + lhs=obj.KeifemContinuous; + phi=obj.EIFEMprojection; + % phi = obj.bcApplier.fullToReducedMatrixDirichlet(phi); + r1=phi'*r; + zP=lhs\r1; + z =phi*zP; + % z = (r-LHS*z); + + %M = obj.MmodalPrecond; + %z = M*r; + end + + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerFactory.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerFactory.m new file mode 100644 index 0000000000..fff0f269cc --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerFactory.m @@ -0,0 +1,48 @@ +classdef PreconditionerFactory < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + + end + + methods (Access = public) + + + function stype = create(cParams) + % solver_type = 'DIRECT'; + switch cParams.type + case {'DIRECT'} + stype = Direct_Solver(); + + case {'CHOLEVSKY'} + % At least up to ndof ~5e4, Direct is still faster + stype = Cholesky_Direct_Solver(); + + case {'ITERATIVE'} +% error('Not implemented yet') + switch cParams.iterativeSolverTyp + case{'PCG'} + stype = PCG(cParams); + end + +% case 'PCG' +% % Preconditioned conjugate gradient +% stype = PCG(cParams); + + case 'Nonlinear' + stype = NonLinear_Solver(cParams); + + otherwise + error('Invalid solver type.') + end + end + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerGaussSeidel.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerGaussSeidel.m new file mode 100644 index 0000000000..632612b255 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerGaussSeidel.m @@ -0,0 +1,49 @@ +classdef PreconditionerGaussSeidel < handle + + properties (Access = private) + L + U + D + end + + properties (Access = private) + LHS + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = PreconditionerGaussSeidel(cParams) + obj.init(cParams) + obj.computeLUFactorization() + end + + function z = apply(obj,r) + Pl = @(r) (obj.L + obj.D)\r; + Pu = @(r) (obj.U + obj.D)\r; + LHSf = @(r) obj.LHS*r; + z = Preconditioner.multiplePrec2(r,Pl,Pu,LHSf); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + end + + function computeLUFactorization(obj) + obj.L = tril(obj.LHS); + obj.U = triu(obj.LHS); + obj.D = diag(diag(obj.LHS)); + end + + + end + + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerILU.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerILU.m new file mode 100644 index 0000000000..903f3b0632 --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerILU.m @@ -0,0 +1,38 @@ +classdef PreconditionerILU < handle + + properties (Access = private) + Lchol + end + + properties (Access = private) + LHS + end + + methods (Access = public) + + function obj = PreconditionerILU(cParams) + obj.init(cParams) + obj.computeCholeskyFactorization() + end + + function z = apply(obj,r) + L = obj.Lchol; + z = L\r; + z = (L')\z; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + end + + function computeCholeskyFactorization(obj) + L = ichol(obj.LHS); + obj.Lchol = L ; + end + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerJacobi.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerJacobi.m new file mode 100644 index 0000000000..71ce596c3a --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerJacobi.m @@ -0,0 +1,37 @@ +classdef PreconditionerJacobi < handle + + properties (Access = private) + D + end + + properties (Access = private) + LHS + end + + methods (Access = public) + + function obj = PreconditionerJacobi(cParams) + obj.init(cParams) + obj.computeDiagonalMatrix() + end + + function z = apply(obj,r) + Pl = @(r) (obj.D)\r; + z = Pl(r); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + end + + function computeDiagonalMatrix(obj) + obj.D = diag(diag(obj.LHS)); + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/Preconditioners/PreconditionerModalApproximation.m b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerModalApproximation.m new file mode 100644 index 0000000000..3d3db3f11c --- /dev/null +++ b/Preconditioning/FEM/Problem/Preconditioners/PreconditionerModalApproximation.m @@ -0,0 +1,51 @@ +classdef PreconditionerModalApproximation < handle + + properties (Access = private) + eigenModes + LHSreduced + end + + properties (Access = private) + LHS + nBasis + end + + methods (Access = public) + + function obj = PreconditionerModalApproximation(cParams) + obj.init(cParams); + obj.computeEigenModes(); + obj.computeReducedLHS(); + end + + function z = apply(obj,r) + lhsR = obj.LHSreduced; + phi = obj.eigenModes; + rR = phi'*r; + zR = lhsR\rR; + z = phi*zR; + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.LHS = cParams.LHS; + obj.nBasis = cParams.nBasis; + end + + function computeEigenModes(obj) + [phi,D]=eigs(obj.LHS,obj.nBasis,'smallestabs'); + obj.eigenModes = phi; + end + + function computeReducedLHS(obj) + phi = obj.eigenModes; + lhs = phi'*obj.LHS*phi; + obj.LHSreduced = lhs; + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Problem/RichardsonSolver.m b/Preconditioning/FEM/Problem/RichardsonSolver.m new file mode 100644 index 0000000000..b580e03326 --- /dev/null +++ b/Preconditioning/FEM/Problem/RichardsonSolver.m @@ -0,0 +1,44 @@ +classdef RichardsonSolver < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + + end + + methods (Static, Access = public) + + + function [x,residual,err,errAnorm] = solve(A,B,x0,P,tol,linesearch,xsol,mesh,bcApplier) + if nargin == 6, xsol = zeros(size(B)); end + iter = 0; + n = length(B); + x = x0; + r = B - A(x); + z = P(r); + while norm(r) > tol + tau = 1*linesearch(r,A); + x = x + tau * z; +% EIFEMtesting.plotSolution(x,mesh,10,10,iter,bcApplier,0) + r = B - A(x); + z = P(r); + test(iter+1)=norm(z); + iter = iter + 1; + residual(iter) = norm(r); %Ax - b + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*A(x-xsol); + %norm(r) + end + + end + + end + + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Solver/PCG.m b/Preconditioning/FEM/Solver/PCG.m new file mode 100644 index 0000000000..f14e420998 --- /dev/null +++ b/Preconditioning/FEM/Solver/PCG.m @@ -0,0 +1,49 @@ +classdef PCG < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + Preconditioner + tol + x0 + end + + methods (Static, Access = public) + + function [x,residual,err,errAnorm] = solve(A,B,x0,P,tol,xsol,mesh,bcApplier) + if nargin == 5, xsol = zeros(size(B)); end + iter = 0; + normB = norm(B); + x = x0; + r = B - A(x); + z = P(r); + p = z; + rzold = r' * z; + while (norm(r)/normB) > tol + Ap = A(p); + alpha = rzold / (p' * Ap); + x = x + alpha * p; + %EIFEMtesting.plotSolution(x,mesh,15,1,iter,bcApplier,0) + r = r - alpha * Ap; + z = P(r); + rznew = r' * z; + beta = (rznew / rzold); + p = z + beta * p; + rzold = rznew; + iter = iter + 1; + residual(iter) = norm(r)/normB; + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*A(x-xsol); + end + end + + end + + +end \ No newline at end of file diff --git a/Preconditioning/FEM/Solver/RichardsonSolver.m b/Preconditioning/FEM/Solver/RichardsonSolver.m new file mode 100644 index 0000000000..b580e03326 --- /dev/null +++ b/Preconditioning/FEM/Solver/RichardsonSolver.m @@ -0,0 +1,44 @@ +classdef RichardsonSolver < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + + end + + methods (Static, Access = public) + + + function [x,residual,err,errAnorm] = solve(A,B,x0,P,tol,linesearch,xsol,mesh,bcApplier) + if nargin == 6, xsol = zeros(size(B)); end + iter = 0; + n = length(B); + x = x0; + r = B - A(x); + z = P(r); + while norm(r) > tol + tau = 1*linesearch(r,A); + x = x + tau * z; +% EIFEMtesting.plotSolution(x,mesh,10,10,iter,bcApplier,0) + r = B - A(x); + z = P(r); + test(iter+1)=norm(z); + iter = iter + 1; + residual(iter) = norm(r); %Ax - b + err(iter)=norm(x-xsol); + errAnorm(iter)=((x-xsol)')*A(x-xsol); + %norm(r) + end + + end + + end + + +end \ No newline at end of file diff --git a/Preconditioning/ROM/CoarseTrainedRVE.m b/Preconditioning/ROM/CoarseTrainedRVE.m new file mode 100644 index 0000000000..75f74d3d7b --- /dev/null +++ b/Preconditioning/ROM/CoarseTrainedRVE.m @@ -0,0 +1,37 @@ +classdef CoarseTrainedRVE < handle + + properties (Access = public) + ndimf + Kcoarse + U + end + + properties (Access = private) + + + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = CoarseTrainedRVE(filename) + obj.init(filename) + end + + end + + methods (Access = private) + + function init(obj,filename) + data = load(filename); + obj.Kcoarse = data.L; + obj.U = data.U; + obj.ndimf = 2; + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/ROM/ProcessOfflineData.m b/Preconditioning/ROM/ProcessOfflineData.m new file mode 100644 index 0000000000..f2522928ec --- /dev/null +++ b/Preconditioning/ROM/ProcessOfflineData.m @@ -0,0 +1,332 @@ +classdef ProcessOfflineData < handle + + properties (Access = public) + + end + properties (Access = private) + mesh + boundaryMeshJoined + localGlobalConnecBd + LHS + + + fValuesTraining + RigidBodyFun + DeformationalFun + + fileNameData + tolSameNode + + end + + + properties (Access = private) + nSubdomains + end + + methods (Access = public) + + function obj = ProcessOfflineData() + obj.init() + obj.loadOfflineData(); + load('DEF_Q4porL_1.mat') + load('PORl_param_OFFLINE.mat','MODES','GEOMATRICES','MESHdom','DATA_misc','MATPRO','OPERFE','CECM','DATAcommon') ; + celastST = MATPRO.celasglo ; + nF = size(MATPRO.celasglo,2) ; + for icomp = 1:nF + icol = icomp:nF:size(celastST,1) ; + celastST(icol,:) = bsxfun(@times,celastST(icol,:),OPERFE.wSTs) ; + end + celastST = ConvertBlockDiag(celastST) ; % Diagonal block matrix + Kfine = OPERFE.Bst'*(celastST*OPERFE.Bst); +% Kfine = OPERFE.Bst(:,dof)'*(celastST*OPERFE.Bst(:,dof)) +% obj.LHS = Kfine; + % data = load(obj.fileNameData); + % obj.mesh = data.mR; + % obj.fValuesTraining = data.u; + + obj.LHS = createElasticProblem(obj); + + uFun = obj.createDispFun(); + uRBfun = obj.projectToRigidBodyFun(uFun); + uDEFSpaceFun = obj.projectToDeformationalSpace(uFun,uRBfun); + PhiD = obj.computeDeformationalModes(uDEFSpaceFun); + PhiD2 = EIFEoper.RECONSTRUCTION.DEF_DISP.BASIS; + uDefFun = obj.createDeformationalFunction(PhiD); + + PsiD = obj.computeSelfEquilibratedLagrange(PhiD); + LMDefFun = obj.createDeformationalFunction(PsiD); + + PhiR = obj.getRigidBodyModes(uRBfun(1)); + + bMesh = obj.mesh.createBoundaryMesh(); + + Vfun = obj.createInterfaceModesFun(bMesh); + + uDefFunBd = obj.restrictToBoundary(uDefFun,bMesh); + RBFunBd = obj.restrictToBoundary(uRBfun(1),bMesh); %only the first bevause we just want the basis! + LMDefFunBd = obj.restrictToBoundary(LMDefFun,bMesh); + + Adr = obj.computeBoundaryModalMassMatrix(uDefFunBd,RBFunBd); + Arr = obj.computeBoundaryModalMassMatrix(RBFunBd,RBFunBd); + % Add = obj.computeBoundaryModalMassMatrix(uDefFunBd,LMDefFunBd); + Add = obj.computeBoundaryModalMassMatrixDirac(uDefFunBd,LMDefFunBd); + % Add = PhiD'*PsiD; + % Add with dirac integrator and PhiD'*PsiD are the same! +% Ldv = obj.computeBoundaryModalMassMatrix(LMDefFunBd,Vfun); + Ldv = obj.computeBoundaryModalMassMatrixDirac(LMDefFunBd,Vfun); + Lrv = obj.computeBoundaryModalMassMatrix(RBFunBd,Vfun); + + Ud = PhiD*(Add'\Ldv); + Ur = PhiR*inv(Arr')*(Lrv - Adr'*(Add'\Ldv)); + + Kcoarse = Ud'*obj.LHS*Ud; + + EIFEoper.Kcoarse = Kcoarse; + EIFEoper.Urb = Ur; + EIFEoper.Udef = Ud; + + save('DEF_Q4porL_1_raul.mat','EIFEoper') + + end + + end + + methods (Access = private) + + function init(obj) + obj.fileNameData = './Preconditioning/ROM/Training/PorousCell/OfflineData.mat'; + end + + function loadOfflineData(obj) + data = load(obj.fileNameData); + obj.mesh = data.mR; + obj.fValuesTraining = data.uSbd; + obj.LHS = data.LHSsbd; + end + + function uFun = createDispFun(obj) + ntest = size(obj.fValuesTraining,2); + s.mesh = obj.mesh; + s.ndimf = 2; + s.order = 'P1'; + for i = 1:ntest + fValues = obj.fValuesTraining(:,i); + s.fValues = reshape(fValues,2,[])' ; + uFun(i) = LagrangianFunction(s); + end + end + + function RBfun = projectToRigidBodyFun(obj,uFun) + refPoint = (max(obj.mesh.coord)+min(obj.mesh.coord))/2; + ntest = size(uFun,2); + for i = 1:ntest + RBfun(i) = project(uFun(i),'RigidBody',refPoint); + end + end + + function DEFfun = projectToDeformationalSpace(obj,uFun,RBfun) + ntest = size(uFun,2); + for i = 1:ntest + s.operation = @(xV) uFun(i).evaluate(xV) - RBfun(i).evaluate(xV); + s.ndimf = uFun.ndimf; + s.mesh = uFun.mesh; + Df = DomainFunction(s); + DEFfun(i) = project(Df,'P1'); + end + end + + function phiD = computeDeformationalModes(obj,DEFfun) + val = obj.constructSnapshotMatrix(DEFfun); + [U,S,~] = svd(val,"econ"); + tol = 1e-6; + r = sum(diag(S) > tol); % Count significant singular values + phiD = U(:, 1:r);% Keep only the first r singular values + end + + function fV = constructSnapshotMatrix(obj,fun) + ntest = size(fun,2); + fV =[]; + for i = 1:ntest + val = fun(i).fValues; + val = reshape(val',[],1); + fV = [fV val]; + end + end + + function DefFun = createDeformationalFunction(obj,phiCoeff) + phiCoeff = num2cell(phiCoeff,1); + phiCoeff = cellfun(@(x) reshape(x', 2,[])', phiCoeff, 'UniformOutput', false); + functionType = {'P1'}; + functionType = repelem(functionType,size(phiCoeff,2)); + + DefFun = ModalFunction.create(obj.mesh,phiCoeff,functionType); + end + + function Psid = computeSelfEquilibratedLagrange(obj,phid) + Psid = obj.LHS*phid; + end + + function PhiR = getRigidBodyModes(obj,RBfun) + nbasis = RBfun.nbasis; + for i = 1:nbasis + fun = project(RBfun.basisFunctions{i},'P1'); + fValues = fun.fValues; + fValues = reshape(fValues',[],1); + PhiR(:,i) = fValues; + end + + end + + function BdFun = restrictToBoundary(obj,fun,bMesh) + nboundary = size(bMesh,1); + for i = 1:nboundary + mesh = bMesh{i}; + BdFun{i} = fun.restrictBasisToBoundaryMesh(mesh); + end + end + + function M = computeBoundaryModalMassMatrix(obj,test,trial) + nbasistest = test{1}.nbasis; + nbasistrial = trial{1}.nbasis; + M = zeros(nbasistest,nbasistrial); + nFlds = test{1}.ndimf; + nbd = size(test,2); + for ibd = 1:nbd + bMesh = test{ibd}.mesh; + quad = obj.createQuadrature(bMesh); + xV = quad.posgp; + dV = bMesh.computeDvolume(quad); + basisTest = test{ibd}.evaluateBasisFunctions(xV); + basisTrial = trial{ibd}.evaluateBasisFunctions(xV); + for i = 1:nbasistest + for j = 1:nbasistrial + for iField = 1:nFlds + basisProd = squeeze(basisTest{i}(iField,:,:).*basisTrial{j}(iField,:,:)); + M(i,j) = M(i,j) + sum(basisProd.*dV,'all'); + end + end + end + end + end + + function M = computeBoundaryModalMassMatrixDirac(obj,test,trial) + nbasistest = test{1}.nbasis; + nbasistrial = trial{1}.nbasis; + M = zeros(nbasistest,nbasistrial); + nFlds = test{1}.ndimf; + nbd = size(test,2); + for ibd = 1:nbd + bMesh = test{ibd}.mesh; + for i = 1:nbasistest + basisTest = test{ibd}.basisFunctions{i}.fValues; + for j = 1:nbasistrial + basisTrial = trial{ibd}.basisFunctions{j}.fValues; + for iField = 1:nFlds + basisProd = squeeze(basisTest(:,iField).*basisTrial(:,iField)); + M(i,j) = M(i,j) + sum(basisProd,'all'); + end + end + end + end + end + + function q = createQuadrature(obj,mesh) + order = 2; + q = Quadrature.create(mesh,order); + end + + function Vfun = createInterfaceModesFun(obj,bMesh) + xmax = max(obj.mesh.coord(:,1)); + ymax = max(obj.mesh.coord(:,2)); + xmin = min(obj.mesh.coord(:,1)); + ymin = min(obj.mesh.coord(:,2)); + a = (-xmin+xmax)/2; + b = (-ymin+ymax)/2; + x0 = xmin+a; + y0 = ymin+b; + + + f1x = @(x) [1/(4)*(1-(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f2x = @(x) [1/(4)*(1+(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f3x = @(x) [1/(4)*(1+(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f4x = @(x) [1/(4)*(1-(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + + f1y = @(x) [0*x(1,:,:);... + 1/(4)*(1-(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b) ]; + f2y = @(x) [0*x(1,:,:);... + 1/(4)*(1+(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b) ]; + f3y = @(x) [0*x(1,:,:);... + 1/(4)*(1+(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b) ]; + f4y = @(x) [0*x(1,:,:);... + 1/(4)*(1-(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b)]; + + f = { f2x f2y f3x f3y f4x f4y f1x f1y}; % + nfun = size(f,2); + nbd = size(bMesh,1); + for ibd=1:nbd + mesh = bMesh{ibd}.mesh; + for i=1:nfun + uD = AnalyticalFunction.create(f{i},obj.mesh.ndim,mesh); + uD = project(uD,'P1'); + VCoeff{i} = uD.fValues; + end + % VCoeff = cellfun(@(x) reshape(x', 2,[])', VCoeff, 'UniformOutput', false); + functionType = {'P1'}; + functionType = repelem(functionType,size(VCoeff,2)); + Vfun{ibd} = ModalFunction.create(mesh,VCoeff,functionType); + end + end + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E = 1; + nu = 1/3; + Epstr = E/(1-nu^2); + nupstr = nu/(1-nu); + young = ConstantFunction.create(Epstr,mesh); + poisson = ConstantFunction.create(nupstr,mesh); + end + + function [LHS,u] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.mesh,obj.mesh.ndim,'P1'); + LHS = obj.computeLHS(u); +% RHS = obj.computeRHS(u,dLambda); + end + + function K = computeLHS(obj,u) + material = obj.createMaterial(obj.mesh); + K = obj.computeStiffnessMatrix(obj.mesh,u,material); + + end + + function LHS = computeStiffnessMatrix(obj,mesh,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.test = dispFun; + s.trial = dispFun; + s.material = mat; + s.quadratureOrder = 2; + lhs = LHSIntegrator.create(s); + LHS = lhs.compute(); + end + + end + +end + + diff --git a/Preconditioning/ROM/Projector_toRigidBody.m b/Preconditioning/ROM/Projector_toRigidBody.m new file mode 100644 index 0000000000..e9dd84ba59 --- /dev/null +++ b/Preconditioning/ROM/Projector_toRigidBody.m @@ -0,0 +1,89 @@ +classdef Projector_toRigidBody < Projector + + properties (Access = private) + refPoint + end + + methods (Access = public) + + function obj = Projector_toRigidBody(cParams) +% obj.init(cParams); + obj.refPoint = cParams.refPoint; + end + + function xFun = project(obj, x) + LHS = obj.computeLHS(x); + RHS = obj.computeRHS(x); + xProj = LHS\RHS; + s.mesh = x.mesh; + s.fvalues = xProj; + s.refPoint = obj.refPoint; + s.ndimf = x.ndimf; + xFun = RigidBodyFunction(s); + end + + end + + methods (Access = private) + + function LHS = computeLHS(obj,x) + mesh = x.mesh; + refPoint = obj.refPoint; + test = RigidBodyFunction.create(mesh,refPoint); + quad = obj.createRHSQuadrature(test); + xV = quad.posgp; + dV = x.mesh.computeDvolume(quad); + ngaus = quad.ngaus; + basisTest = test.evaluateBasisFunctions(xV); + basisTrial = basisTest; + nbasis = size(basisTest,2); + LHS = zeros(nbasis); + nFlds = test.ndimf; + for i = 1:nbasis + for j = 1:nbasis + for iField = 1:nFlds + basisProd = squeeze(basisTest{i}(iField,:,:).*basisTrial{j}(iField,:,:)); + LHS(i,j) = LHS(i,j) + sum(basisProd.*dV,'all'); + end + end + end + end + + function RHS = computeRHS(obj,fun) + mesh = fun.mesh; + refPoint = obj.refPoint; + + test = RigidBodyFunction.create(mesh,refPoint); + + quad = obj.createRHSQuadrature(fun); + xV = quad.posgp; + dV = fun.mesh.computeDvolume(quad); + + basisTest = test.evaluateBasisFunctions(xV); + nbasis = size(basisTest,2); + + nGaus = quad.ngaus; + nFlds = fun.ndimf; + + fGaus = fun.evaluate(xV); + f = zeros(nbasis,1); + + for i = 1:nbasis + for iField = 1:nFlds + int = squeeze(basisTest{i}(iField,:,:).*fGaus(iField,:,:)); + f(i) = f(i) + sum(int.*dV,'all'); + end + end + + RHS = f; + end + + function q = createRHSQuadrature(obj, fun) + ord = obj.determineQuadratureOrder(fun); + q = Quadrature.create(fun.mesh,ord); +% q.computeQuadrature(ord); + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/ROM/TrainedRVE.m b/Preconditioning/ROM/TrainedRVE.m new file mode 100644 index 0000000000..4e0ca66982 --- /dev/null +++ b/Preconditioning/ROM/TrainedRVE.m @@ -0,0 +1,46 @@ +classdef TrainedRVE < handle + + properties (Access = public) + ndimf + Kcoarse + Udef + Urb + PhiDef + PhiRb + Grb + end + + properties (Access = private) + + + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = TrainedRVE(filename) + obj.init(filename) + + end + + end + + methods (Access = private) + + function init(obj,filename) + load(filename); + obj.Kcoarse = EIFEoper.Kcoarse; + obj.Udef = EIFEoper.Udef; + obj.Urb = EIFEoper.Urb; + obj.ndimf = 2; + obj.PhiDef = EIFEoper.RECONSTRUCTION.DEF_DISP.BASIS; + obj.PhiRb = EIFEoper.RECONSTRUCTION.RB_DISP.BASIS; + obj.Grb = EIFEoper.Grb; + end + + end + +end \ No newline at end of file diff --git a/Preconditioning/ROM/Training.m b/Preconditioning/ROM/Training.m new file mode 100644 index 0000000000..5a4c981bf5 --- /dev/null +++ b/Preconditioning/ROM/Training.m @@ -0,0 +1,273 @@ +classdef Training < handle + + properties (Access = public) + + end + properties (Access = private) + meshDomain + boundaryMeshJoined + localGlobalConnecBd + DirFun + boundaryConditions + bcApplier + LHS + RHS + DDdofManager + domainIndices + + fileNameEIFEM + tolSameNode + + end + + + properties (Access = private) + nSubdomains + end + + methods (Access = public) + + function obj = Training() + close all + obj.init() + + mR = obj.createReferenceMesh(); + bS = mR.createBoundaryMesh(); + [mD,mSb,iC,lG,iCR,discMesh] = obj.createMeshDomain(mR); + obj.meshDomain = mD; + [obj.boundaryMeshJoined, obj.localGlobalConnecBd] = obj.meshDomain.createSingleBoundaryMesh(); + obj.DDdofManager = obj.createDomainDecompositionDofManager(iC,lG,bS,mR,iCR); + obj.DirFun = obj.AnalyticalDirCond(); + + + [LHS,RHS,uFun,lambdaFun] = obj.createElasticProblem(); + sol = LHS\RHS; + uAll = sol(1:uFun.nDofs,:); + [uSbd,LHSsbd] = obj.extractDomainData(uAll,LHS); + + save('./Preconditioning/ROM/Training/PorousCell/OfflineData.mat','uSbd','mR','LHSsbd') + + end + + end + + methods (Access = private) + + function init(obj) + obj.nSubdomains = [5 5]; %nx ny +% obj.fileNameEIFEM = 'DEF_Q4auxL_1.mat'; + obj.fileNameEIFEM = 'DEF_Q4porL_1.mat'; + obj.tolSameNode = 1e-10; + obj.domainIndices = [3 3]; + end + + function [mD,mSb,iC,lG,iCR,discMesh] = createMeshDomain(obj,mR) + s.nsubdomains = obj.nSubdomains; %nx ny + s.meshReference = mR; + s.tolSameNode = obj.tolSameNode; + m = MeshCreatorFromRVE(s); + [mD,mSb,iC,~,lG,iCR,discMesh] = m.create(); + end + + function mS = createReferenceMesh(obj) + % mS = obj.createStructuredMesh(); + % mS = obj.createMeshFromGid(); + mS = obj.createEIFEMreferenceMesh(); + end + + function mS = createMeshFromGid(obj) + filename = 'lattice_ex1'; + a.fileName = filename; + femD = FemDataContainer(a); + mS = femD.mesh; + end + + function mS = createStructuredMesh(obj) + % Generate coordinates + x1 = linspace(0,1,2); + x2 = linspace(0,1,2); + % Create the grid + [xv,yv] = meshgrid(x1,x2); + % Triangulate the mesh to obtain coordinates and connectivities + [F,coord] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + + s.coord = coord(:,1:2); + s.connec = F; + mS = Mesh.create(s); + end + + function mS = createEIFEMreferenceMesh(obj) + filename = obj.fileNameEIFEM; + load(filename); + s.coord = EIFEoper.MESH.COOR; + isMin = s.coord==min(s.coord); + isMax = s.coord==max(s.coord); + + s.connec = EIFEoper.MESH.CN; + mS = Mesh.create(s); + end + + function material = createMaterial(obj,mesh) + [young,poisson] = obj.computeElasticProperties(mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E = 1; + nu = 1/3; + Epstr = E/(1-nu^2); + nupstr = nu/(1-nu); + young = ConstantFunction.create(Epstr,mesh); + poisson = ConstantFunction.create(nupstr,mesh); + end + + function [LHS,RHS,u,dLambda] = createElasticProblem(obj) + u = LagrangianFunction.create(obj.meshDomain,obj.meshDomain.ndim,'P1'); + dLambda = LagrangianFunction.create(obj.boundaryMeshJoined,obj.meshDomain.ndim,'P1'); + LHS = obj.computeLHS(u,dLambda); + RHS = obj.computeRHS(u,dLambda); + end + + function LHS = computeLHS(obj,u,dLambda) + material = obj.createMaterial(obj.meshDomain); + K = obj.computeStiffnessMatrix(obj.meshDomain,u,material); + + C = obj.computeConditionMatrix(dLambda); + Z = zeros(size(C,2)); + LHS = [K C; C' Z]; + end + + function LHS = computeStiffnessMatrix(obj,mesh,dispFun,mat) + s.type = 'ElasticStiffnessMatrix'; + s.mesh = mesh; + s.test = dispFun; + s.trial = dispFun; + s.material = mat; + s.quadratureOrder = 2; + lhs = LHSIntegrator.create(s); + LHS = lhs.compute(); + end + + function C = computeConditionMatrix(obj,dLambda) + s.type = 'ConditionMatrix'; + s.quadType = 2; + s.boundaryMeshJoined = obj.boundaryMeshJoined; + s.localGlobalConnecBd = obj.localGlobalConnecBd; + s.nnodes = obj.meshDomain.nnodes; + lhs = LHSIntegrator_condition_shape_shape(s); + test = LagrangianFunction.create(obj.boundaryMeshJoined, obj.meshDomain.ndim, 'P1'); % !! + C = lhs.compute(dLambda,test); + end + + function RHS = computeRHS(obj,u,dLambda) + F = zeros(u.nDofs,length(obj.DirFun)); + uD = obj.computeRHScondition(dLambda,obj.DirFun); + RHS = [F ; uD]; + end + + function uD = computeRHScondition(obj,test,dir) + s.mesh = obj.boundaryMeshJoined; + s.quadType = 2; + rhs = RHSIntegratorShapeFunction(s); + nfun = size(dir,2); + uD = []; + for i=1:nfun + rDiri = rhs.compute(dir{i},test); + uD = [uD rDiri]; + end + end + + function [u,lhs] = extractDomainData(obj,uC,LHS) + u = obj.extractDomainDisplacements(uC); + lhs = obj.extractDomainLHS(LHS); + end + + function u = extractDomainDisplacements(obj,uC) + ntest = size(uC,2); + for i = 1:ntest + uD = obj.DDdofManager.global2local(uC(:,i)); + ind = (obj.domainIndices(1)-1)*obj.nSubdomains(1)+obj.domainIndices(2); + u(:,i)= uD(:,ind); + end + end + + function lhs = extractDomainLHS(obj,LHS) + lhs = obj.DDdofManager.global2localMatrix(LHS); + ind = (obj.domainIndices(1)-1)*obj.nSubdomains(1)+obj.domainIndices(2); + lhs = lhs(:,:,ind); + end + + function d = createDomainDecompositionDofManager(obj,iC,lG,bS,mR,iCR) + s.nSubdomains = obj.nSubdomains; + s.interfaceConnec = iC; + s.interfaceConnecReshaped = iCR; + s.locGlobConnec = lG; + s.nBoundaryNodes = bS{1}.mesh.nnodes; + s.nReferenceNodes = mR.nnodes; + s.nNodes = obj.meshDomain.nnodes; + s.nDimf = obj.meshDomain.ndim; + d = DomainDecompositionDofManager(s); + end + + function uD = AnalyticalDirCond(obj) + xmax = max(obj.meshDomain.coord(:,1)); + ymax = max(obj.meshDomain.coord(:,2)); + xmin = min(obj.meshDomain.coord(:,1)); + ymin = min(obj.meshDomain.coord(:,2)); + a = (-xmin+xmax)/2; + b = (-ymin+ymax)/2; + x0 = xmin+a; + y0 = ymin+b; + +% f1x = @(x) [1/(4)*(1-x(1,:,:)).*(1-x(2,:,:));... +% 0*x(2,:,:) ]; +% f2x = @(x) [1/(4)*(1+x(1,:,:)).*(1-x(2,:,:));... +% 0*x(2,:,:) ]; +% f3x = @(x) [1/(4)*(1+x(1,:,:)).*(1+x(2,:,:));... +% 0*x(2,:,:) ]; +% f4x = @(x) [1/(4)*(1-x(1,:,:)).*(1+x(2,:,:));... +% 0*x(2,:,:) ]; +% +% f1y = @(x) [0*x(1,:,:);... +% 1/(4)*(1-x(1,:,:)).*(1-x(2,:,:)) ]; +% f2y = @(x) [0*x(1,:,:);... +% 1/(4)*(1+x(1,:,:)).*(1-x(2,:,:)) ]; +% f3y = @(x) [0*x(1,:,:);... +% 1/(4)*(1+x(1,:,:)).*(1+x(2,:,:)) ]; +% f4y = @(x) [0*x(1,:,:);... +% 1/(4)*(1-x(1,:,:)).*(1+x(2,:,:)) ]; + + f1x = @(x) [1/(4)*(1-(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f2x = @(x) [1/(4)*(1+(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f3x = @(x) [1/(4)*(1+(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + f4x = @(x) [1/(4)*(1-(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b);... + 0*x(2,:,:) ]; + + f1y = @(x) [0*x(1,:,:);... + 1/(4)*(1-(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b) ]; + f2y = @(x) [0*x(1,:,:);... + 1/(4)*(1+(x(1,:,:)-x0)/a).*(1-(x(2,:,:)-y0)/b) ]; + f3y = @(x) [0*x(1,:,:);... + 1/(4)*(1+(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b) ]; + f4y = @(x) [0*x(1,:,:);... + 1/(4)*(1-(x(1,:,:)-x0)/a).*(1+(x(2,:,:)-y0)/b)]; + + f = {f1x f1y f2x f2y f3x f3y f4x f4y}; % + nfun = size(f,2); + for i=1:nfun + uD{i} = AnalyticalFunction.create(f{i},obj.meshDomain.ndim,obj.boundaryMeshJoined); + end + end + + end + +end diff --git a/README.md b/README.md deleted file mode 100755 index 97da9c0866..0000000000 --- a/README.md +++ /dev/null @@ -1,35 +0,0 @@ -## Swan - Topology Optimization Laboratory ## - -

- drawing -

- -
- -[![Badge Website]][WebsiteLink] - -
- -**Swan** is a topology optimization software developed in Matlab. It supports the resolution of 2D and 3D topology optimization problems with density or level-set as design variables. -This toolbox can be used for structural optimization, material design, and multi-scale problems. - -Below are some examples of simulations run using Swan. Feel free to check our website for additional features, tutorials, and results. - -

- Solution - Solution - Solution - -

- -1. Minimization of compliance subject to volume for a 3D cantilever beam, using Level Set methods. -1. Optimization of a 2D cantilever beam with an anisotropy constraint. -1. Design of a gripping mechanism using Level Set methods. - -## Contact ## - -For any inquiries, please contact us by opening an issue. - -[Badge Website]: https://img.shields.io/badge/GitHub%20Pages-222222?style=for-the-badge&logo=GitHub%20Pages&logoColor=white - -[WebsiteLink]: https://swanlab.github.io/Swan diff --git a/ReferenceLevelSetInclusion.m b/ReferenceLevelSetInclusion.m new file mode 100644 index 0000000000..ad671d6060 --- /dev/null +++ b/ReferenceLevelSetInclusion.m @@ -0,0 +1,134 @@ +classdef ReferenceLevelSetInclusion < handle + + properties (Access = private) + mesh + physicalProblem + end + + methods (Access = public) + + function obj = ReferenceLevelSetInclusion() + obj.init() + obj.createMesh(); + obj.createElasticProblem(); + obj.physicalProblem.solve(); + end + + end + + methods (Access = private) + + function init(obj) + close all; + end + + function createMesh(obj) + bgMesh = obj.createReferenceMesh(); + lvSet = obj.createLevelSetFunction(bgMesh); + uMesh = obj.computeUnfittedMesh(bgMesh,lvSet); + obj.mesh = uMesh.createInnerMesh(); + end + + function mesh = createReferenceMesh(obj) + %UnitMesh better + x1 = linspace(0,1,50); + x2 = linspace(0,1,50); + [xv,yv] = meshgrid(x1,x2); + [F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + s.coord = V(:,1:2); + s.connec = F; + mesh = Mesh.create(s); + end + + function levelSet = createLevelSetFunction(obj,bgMesh) + sLS.type = 'CircleInclusion'; + sLS.xCoorCenter = 0.5; + sLS.yCoorCenter = 0.5; + sLS.radius = 0.2; + g = GeometricalFunction(sLS); + lsFun = g.computeLevelSetFunction(bgMesh); + levelSet = lsFun.fValues; + end + + function uMesh = computeUnfittedMesh(obj,bgMesh,levelSet) + sUm.backgroundMesh = bgMesh; + sUm.boundaryMesh = bgMesh.createBoundaryMesh(); + uMesh = UnfittedMesh(sUm); + uMesh.compute(levelSet); + end + + function createElasticProblem(obj) + s.mesh = obj.mesh; + s.scale = 'MACRO'; + s.material = obj.createMaterial(); + s.dim = '2D'; + s.boundaryConditions = obj.createBoundaryConditions(); + s.interpolationType = 'LINEAR'; + s.solverType = 'REDUCED'; + s.solverMode = 'DISP'; + s.solverCase = 'DIRECT'; + fem = ElasticProblem(s); + obj.physicalProblem = fem; + end + + function material = createMaterial(obj) + [young,poisson] = obj.computeElasticProperties(obj.mesh); + s.type = 'ISOTROPIC'; + s.ptype = 'ELASTIC'; + s.ndim = obj.mesh.ndim; + s.young = young; + s.poisson = poisson; + tensor = Material.create(s); + material = tensor; + end + + function [young,poisson] = computeElasticProperties(obj,mesh) + E = 1; + nu = 1/3; + young = ConstantFunction.create(E,mesh); + poisson = ConstantFunction.create(nu,mesh); + end + + function bc = createBoundaryConditions(obj) + xMax = max(obj.mesh.coord(:,1)); + yMax = max(obj.mesh.coord(:,2)); + xMin = min(obj.mesh.coord(:,1)); + yMin = min(obj.mesh.coord(:,2)); + tol = 1e-10; + isLeft = @(coor) abs(coor(:,1)-xMin) <= tol; + isRight = @(coor) abs(coor(:,1)-xMax) <= tol; +% isForce = @(coor) (abs(coor(:,1))==xMax & abs(coor(:,2))>=0.4*yMax & abs(coor(:,2))<=0.6*yMax); + + sDir{1}.domain = @(coor) isLeft(coor); + sDir{1}.direction = [1,2]; + sDir{1}.value = 0; + + sDir{2}.domain = @(coor) isRight(coor); + sDir{2}.direction = 1; + sDir{2}.value = 1; + +% sPL{1}.domain = @(coor) isForce(coor); +% sPL{1}.direction = 2; +% sPL{1}.value = -1; + sPL = {}; + + dirichletFun = []; + for i = 1:numel(sDir) + dir = DirichletCondition(obj.mesh, sDir{i}); + dirichletFun = [dirichletFun, dir]; + end + s.dirichletFun = dirichletFun; + + pointloadFun = []; + for i = 1:numel(sPL) + pl = PointLoad(obj.mesh, sPL{i}); + pointloadFun = [pointloadFun, pl]; + end + s.pointloadFun = pointloadFun; + + s.periodicFun = []; + s.mesh = obj.mesh; + bc = BoundaryConditions(s); + end + end +end \ No newline at end of file diff --git a/Sol.flavia.msh b/Sol.flavia.msh new file mode 100644 index 0000000000..e25b0ae253 --- /dev/null +++ b/Sol.flavia.msh @@ -0,0 +1,5163 @@ +#################################################### +################# FEM-MAT-OO v.1.0 ################# +#################################################### + +MESH "WORKPIECE" dimension 2 Elemtype Triangle Nnode 3 + +coordinates + 1 00000 4.50000e-01 + 2 00000 4.60000e-01 + 3 1.03850e-02 4.55000e-01 + 4 8.42350e-03 4.41580e-01 + 5 1.03850e-02 4.65000e-01 + 6 00000 4.70000e-01 + 7 2.41820e-02 4.46130e-01 + 8 1.03850e-02 4.75000e-01 + 9 1.93420e-02 4.30660e-01 + 10 2.58080e-02 4.65160e-01 + 11 00000 4.80000e-01 + 12 9.21820e-03 4.86000e-01 + 13 00000 4.90000e-01 + 14 4.01160e-02 4.32650e-01 + 15 8.98480e-03 4.94200e-01 + 16 3.29410e-02 4.17060e-01 + 17 2.53200e-02 4.90000e-01 + 18 00000 5.00000e-01 + 19 5.00000e-02 4.50000e-01 + 20 5.00000e-02 4.75000e-01 + 21 1.03850e-02 5.05000e-01 + 22 00000 5.10000e-01 + 23 1.03850e-02 5.15000e-01 + 24 2.59710e-02 5.14290e-01 + 25 00000 5.20000e-01 + 26 6.77670e-02 4.32230e-01 + 27 4.98000e-02 4.00200e-01 + 28 5.00000e-02 5.00000e-01 + 29 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at end of file diff --git a/Topology Optimization/Operators/Integrator/LHSintegrator_MassBoundary_albert.m b/Topology Optimization/Operators/Integrator/LHSintegrator_MassBoundary_albert.m new file mode 100644 index 0000000000..6bf347969c --- /dev/null +++ b/Topology Optimization/Operators/Integrator/LHSintegrator_MassBoundary_albert.m @@ -0,0 +1,78 @@ +classdef LHSintegrator_MassBoundary_albert < handle + + properties (Access = private) + boundaryMeshJoined + localGlobalConnecBd + quadType + quadrature + nnodes + end + + methods (Access = public) + + function obj = LHSintegrator_MassBoundary_albert(cParams) + obj.init(cParams); + end + + function LHS = compute(obj,trial,test) + obj.createQuadrature(trial,test) + LHS = obj.computeBoundaryMassMatrix(trial,test); + end + + end + + methods (Access = protected) + + function init(obj,cParams) + obj.quadType = cParams.quadType; + obj.boundaryMeshJoined = cParams.boundaryMeshJoined; + obj.localGlobalConnecBd = cParams.localGlobalConnecBd; + obj.nnodes = cParams.nnodes; + end + + function Mr = computeBoundaryMassMatrix(obj,trial,test) + nDofs = obj.nnodes*trial.ndimf; + lhsg = sparse(nDofs,trial.nDofs); + a.type = 'MassMatrix'; + a.mesh = obj.boundaryMeshJoined; + + a.test = test; + a.trial = trial; + + + lhs = LHSIntegrator.create(a); + + lhs = lhs.compute(); + [iLoc,jLoc,vals] = find(lhs); + l2g_dof = ((obj.localGlobalConnecBd*test.ndimf)' - ((test.ndimf-1):-1:0))'; + l2g_dof = l2g_dof(:); + jGlob = l2g_dof(jLoc); + iGlob = l2g_dof(iLoc); + lhsg = lhsg + sparse(iGlob,jLoc,vals, nDofs, trial.nDofs); + + % local2global(sL.mesh.connec(:)) = sL.bMesh.globalConnec(:); + % [iLoc,jLoc,vals] = find(LHS); % !!! iLoc, jLoc should come from P1Fun + % iGlob = local2global(iLoc); + % jGlob = local2global(jLoc); + + % LHSadd = sparse(iGlob,jGlob,vals, ndof, ndof); + % LHSg = LHSg + LHSadd; + Mr = lhsg; + end + + function createQuadrature(obj,fun,test) + if isempty(obj.quadType) + orderTr = fun.getOrderNum(); + orderTe = test.getOrderNum(); + order = orderTr + orderTe; + else + order = obj.quadType; + end + q = Quadrature.create(obj.boundaryMeshJoined,order); + obj.quadrature = q; + end + + + end + +end \ No newline at end of file diff --git a/Topology Optimization/Operators/Integrator/LHSintegrator_ShapeFunction_fun.m b/Topology Optimization/Operators/Integrator/LHSintegrator_ShapeFunction_fun.m new file mode 100644 index 0000000000..7494008553 --- /dev/null +++ b/Topology Optimization/Operators/Integrator/LHSintegrator_ShapeFunction_fun.m @@ -0,0 +1,88 @@ +classdef LHSintegrator_ShapeFunction_fun < handle + + properties (Access = private) + quadType + mesh + quadrature + end + + methods (Access = public) + function obj = LHSintegrator_ShapeFunction_fun(cParams) + obj.init(cParams); + end + + + function lhs = compute(obj,fun,test) + obj.createQuadrature(fun,test); + lhsElem = obj.computeElementalLHS(fun,test); + lhs = obj.assembleIntegrand(test,fun,lhsElem); + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.quadType = cParams.quadType; + obj.mesh = cParams.mesh; + end + + function int = computeElementalLHS(obj,fun,test) + quad = obj.quadrature; + xV = quad.posgp; + fG = fun.evaluate(xV); +% fG = squeezeParticular(fG,2); + dV = obj.mesh.computeDvolume(quad); + N = test.computeShapeFunctions(xV); + nNodeElem = size(N,1); + nElem = obj.mesh.nelem; + nGaus = quad.ngaus; + nFlds = size(fG,1); + nDofElem = nNodeElem*nFlds; + int = zeros(nDofElem,nFlds,nElem); + for iField = 1:nFlds + for iNode = 1:nNodeElem + for iGaus = 1:nGaus + dVg(:,1) = dV(iGaus, :); + fV = squeeze(fG(iField,iGaus,:)); + Ni = squeeze(N(iNode,iGaus,:)); + fNdV(1,:) = Ni.*fV.*dVg; + iDof = nFlds*(iNode-1) + iField; + int(iDof,iField,:) = squeezeParticular(int(iDof,iField,:),1) + fNdV; + end + end + end + + end + + function C = assembleIntegrand(obj,test,fun,lhsElem) + integrand = lhsElem; + nFields = fun.ndimf; + connec = test.getDofConnec(); + ndofs = max(max(connec)); + nDofElem = size(connec,2); + C = zeros(ndofs,nFields); + for iField = 1:nFields + for iDof = 1:nDofElem + int = squeezeParticular(integrand(iDof,iField,:),1); + con = connec(:,iDof); + C(:,iField) = C(:,iField) + accumarray(con,int,[ndofs,1],@sum,0); + end + end + end + + function createQuadrature(obj,fun,test) + if isempty(obj.quadType) + orderTr = fun.getOrderNum(); + orderTe = test.getOrderNum(); + order = orderTr + orderTe; + else + order = obj.quadType; + end + q = Quadrature.create(obj.mesh,order); + obj.quadrature = q; + end + + end + +end diff --git a/Tutorials/ChomogNetworkTutorial/ChomogNetworkTutorial.m b/Tutorials/ChomogNetworkTutorial/ChomogNetworkTutorial.m index 0089eec77d..01b2d2b584 100644 --- a/Tutorials/ChomogNetworkTutorial/ChomogNetworkTutorial.m +++ b/Tutorials/ChomogNetworkTutorial/ChomogNetworkTutorial.m @@ -18,7 +18,7 @@ s.testRatio = testratio; s.networkParams.hiddenLayers = hiddenLayers; s.optimizerParams.learningRate = learningRate; -s.optimizerParams.maxEpochs = 10; % 1000 is the best option, but we use 10 to pass the tutorial quickly +s.optimizerParams.maxEpochs = 100; % 1000 is the best option, but we use 10 to pass the tutorial quickly s.costParams.lambda = lambda; s.costParams.costType = 'L2'; diff --git a/Tutorials/Tutorial02_FEMElasticity.mlx b/Tutorials/Tutorial02_FEMElasticity.mlx index 217b5a8041..b0fe4577ae 100644 Binary files a/Tutorials/Tutorial02_FEMElasticity.mlx and b/Tutorials/Tutorial02_FEMElasticity.mlx differ diff --git a/UL_r0_0500-20x20.mat b/UL_r0_0500-20x20.mat new file mode 100644 index 0000000000..9350f98094 Binary files /dev/null and b/UL_r0_0500-20x20.mat differ diff --git a/domain11_0.vtu b/domain11_0.vtu new file mode 100644 index 0000000000..6b2720ab56 --- /dev/null +++ b/domain11_0.vtu @@ -0,0 +1,3891 @@ + + + + + + +-1.1125 1.0007 0.0000 +-1.0821 0.9070 0.0000 +-1.0113 1.0007 0.0000 +-1.0518 0.8133 0.0000 +-0.9759 0.9056 0.0000 +-0.9102 1.0007 0.0000 +-1.4905 0.1573 0.0000 +-1.0215 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+0.05,4.4951418206252,1.77936040218608,-2.71564602937436,-0.000135389064814418,-2.62325995965399,-1.7793604021861,0.843764168403018,0.000135389064817324,4.49514182062523,0.000135389064815708,0.843764168403022,-1.7793604021861,-2.62325995965399,-0.000135389064816844,-2.71564602937436,4.49514182062522,-1.77936040218608,0.843764168403026,-0.000135389064817065,-2.62325995965399,1.77936040218611,4.49514182062522,0.000135389064818004,-2.71564602937436,1.7793604021861,-2.62325995965399,4.49514182062522,1.77936040218608,-2.71564602937438,-0.00013538906481295,4.4951418206252,0.000135389064814216,0.843764168403024,4.49514182062516,-1.77936040218608,4.49514182062523 diff --git a/modesTesting.m b/modesTesting.m new file mode 100644 index 0000000000..fb7d9d5bd4 --- /dev/null +++ b/modesTesting.m @@ -0,0 +1,485 @@ +function modesTesting + + +clc;clear all;close all + +addpath(genpath(fileparts(mfilename('fullpath')))) + +%file = 'test2d_triangle'; +%a.fileName = file; +% s = FemDataContainer(a); + + +mesh = createMesh(); + +bcV = createRawBoundaryConditions(mesh); +bc = createBoundaryConditions(mesh,bcV); + +% s.mesh = mesh; +% s.type = 'StiffnessMatrix'; +% s.scale = 'MACRO'; + + +quad = Quadrature.set(mesh.type); +quad.computeQuadrature('QUADRATIC'); + + +material = createMaterial(mesh,quad.ngaus); +% s.dim = '2D'; +% bc = bcV; +nDimf=2; + +dispFun=P1Function.create(mesh, nDimf); + + +K = computeStiffnessMatrix(mesh,material,dispFun); +Kred = bc.fullToReducedMatrix(K); + +dim.ndimf = dispFun.ndimf; +dim.nnodes = size(dispFun.fValues, 1); +dim.ndofs = dim.nnodes*dim.ndimf; +dim.nnodeElem = mesh.nnodeElem; % should come from interp.. +dim.ndofsElem = dim.nnodeElem*dim.ndimf; +c.dim=dim; +c.mesh=mesh; +c.BC = bc; +RHS = RHSintegrator_ElasticMacro(c); +Fext = RHS.compute(); +Fred = bc.fullToReducedVector(Fext); + +M= computeMassMatrix(mesh,dispFun); +Mred= bc.fullToReducedMatrix(M); +% [basis,D]=eigs(M\K); +[basis,D]=eigs(Kred,8,'smallestabs'); +psi = Kred*basis; + +for i = 1:size(basis,2) + b = basis(:,i); + b1 = bc.reducedToFullVector(b); + bC{i} = reshape(b1,2,[])'; + a = psi(:,i); + a1=bc.reducedToFullVector(a); + psiD{i}=reshape(a1,2,[])'; + % bC{i} = b; + + % sF.fValues = reshape(b1,2,[])'; + % sF.mesh = mesh; + % bF{i} =P1Function(sF); + % bF.plot +end +kbb=basis'*Kred*basis; +functionType = {'P1' , 'P1' , 'P1' , 'P1', 'P1', 'P1', 'P1', 'P1', 'P1', 'P1'}; + +sM.mesh = mesh; +sM.basis = bC; +sM.fValues =[1 1 1 1 1 1 1 1 1 1]; +sM.functionType = {'P1' , 'P1' , 'P1' , 'P1', 'P1', 'P1', 'P1', 'P1', 'P1', 'P1'}; +modal = ModalFunction(sM); +p1FUNC = modal.project('P1'); +modal2=p1FUNC.project('ModalFunction',bC,functionType); + + +modalFun=ModalFunction.create(mesh,bC,functionType); + +sL.material=material; +sL.test= modalFun; +sL.trial=modalFun; +sL.mesh=mesh; +sL.quadratureOrder = quad.order; +LHS=LHS_integratorStiffnessGlobal(sL); +lhs=LHS.compute(); +LHSmass = LHS_integratorMassGlobal(sL); +lhsMass = LHSmass.compute(); + + +%% create eifem matrices +bMesh = mesh.createBoundaryMesh(); + +rbDom = createRBfun(mesh); +rbBd = createRBfun(bMesh); +phib = createBoundaryDefFun(bMesh,bC,functionType); +psib = createBoundaryDefFun(bMesh,psiD,functionType); +nbound = size(bMesh,1); + +for ibound=1:nbound + sL.test = phib{ibound}; + sL.trial = rbBd{ibound}; + sL.mesh = bMesh{ibound}.mesh; + sL.quadratureOrder = quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + Hhat{ibound} = lhs2{ibound}.compute(); +end + +for ibound=1:nbound + sL.test = phib{ibound}; + sL.trial = psib{ibound}; + sL.mesh = bMesh{ibound}.mesh; + sL.quadratureOrder = quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + H{ibound} = lhs2{ibound}.compute(); +end + +for ibound=1:nbound + sL.test = rbBd{ibound}; + sL.trial = rbBd{ibound}; + sL.mesh = bMesh{ibound}.mesh; + sL.quadratureOrder = quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + G{ibound} = lhs2{ibound}.compute(); +end + +for ibound=1:nbound + sL.test = psib{ibound}; + sL.trial = rbBd{ibound}; + sL.mesh = bMesh{ibound}.mesh; + sL.quadratureOrder = quad.order; + lhs2{ibound} = LHS_integratorMassGlobal(sL); + Gtest{ibound} = lhs2{ibound}.compute(); %this should be 0 accoring joaquin's article +end + +%% +% kprecon = + +% refPoint = [0,0]; +% RB=RigidBodyFunction.create(mesh,refPoint); +% +% sL.material=material; +% sL.test= RB; +% sL.trial=modalFun; +% sL.mesh=mesh;k +% sL.quadratureOrder = quad.order; +% LHS=LHS_integratorStiffnessGlobal(sL); +% lHS=LHS.compute(); + + + + +% p1FUNC.plot +% p1FUNC.print('prova') + +% modal.FEfun{1}.plot + +% +% s.basis = bF; +% s.coef = [2 3 -1]; +% mF = ModalFunction(s); (%evaluate defined) +% +% m1 = mF.project('P1'); +% m1.plot +% +% mF.plot() + +[xCG,residualCG] = conjugateGradient(Kred,Fred); + +%M = basis*inv(lhs)*basis'; +%M = sparse(eye(size(xCG,1))./diag(Kred)); + +%M = basis*lhs*basis'; + +M2 = spdiags(1./sqrt(diag((Kred))),0,size(Kred,1),size(Kred,1)); +L = ichol(Kred); +Apr = sparse(diag(diag(Kred))\Kred); +bpr = sparse(diag(diag(Kred))\Fred); +M=basis*(lhs\basis'); +Mb{1}=basis'; +Mb{2}= inv(lhs); +Mb{3}=basis; +% Mb{1}=eye(size(Kred,1)); +% M=M+M2; +%[xCG,residualCG] = conjugateGradient(Apr,bpr); +% xCG2 = pcg(Apr,bpr,1E-6,1000); +% [xCG2,residualCG2] = conjugateGradient(Kred,Fred,M2); + +[xCG2,residualCG2] = preconditionedConjugateGradient(Kred,Fred,Mb); + +x= Kred\Fred; +[X1,FLAG1,RELRES1,iter1] = pcg(Kred,Fred,1E-6,1000,L,L'); +[X2,FLAG2,RELRES2,iter2] = pcg(Kred,Fred,1E-6,1000,M2,M2'); +[X3,FLAG3,RELRES3,iter3] = pcg(Kred,Fred,1E-6,1000); +s.mesh = mesh; +s.type = 'ELASTIC'; +s.scale = 'MACRO'; +s.material = createMaterial(mesh,1); +s.dim = '2D'; +s.bc = bcV; +s.nDimf=2; + + +fem = FEM.create(s); +fem.solve(); + +fem.print('DD') + + + +% figure(1) +% fem.uFun.plot() +% figure(2) +% fem.stressFun.plot() +% figure(3) +% fem.strainFun.plot() + + +% FEM +%solution plot + +% eigmodes LHS + +% ModalFunction build + + +% Plot an example with given values + + +end + +function mesh = createMesh() +% file = 'CantileverBeam_Triangle_Linear'; +% % file = 'Cantileverbeam_Quadrilateral_Bilinear'; +% a.fileName = file; +% s = FemDataContainer(a); +% mesh = s.mesh; + + +% Generate coordinates +x1 = linspace(0,2,20); +x2 = linspace(0,1,20); +% Create the grid +[xv,yv] = meshgrid(x1,x2); +% Triangulate the mesh to obtain coordinates and connectivities +[F,basis] = mesh2tri(xv,yv,zeros(size(xv)),'x'); + +s.coord = basis(:,1:2); +s.connec = F; +mesh = Mesh(s); +end + + +function dim = getFunDims(mesh) +s.fValues = mesh.coord; +s.mesh = mesh; +disp = P1Function(s); +d.ndimf = disp.ndimf; +d.nnodes = size(disp.fValues, 1); +d.ndofs = d.nnodes*d.ndimf; +d.nnodeElem = mesh.nnodeElem; % should come from interp.. +d.ndofsElem = d.nnodeElem*d.ndimf; +dim = d; +end + +function bc = createBoundaryConditions(mesh,bcV) +dim = getFunDims(mesh); +bcV.ndimf = dim.ndimf; +bcV.ndofs = dim.ndofs; +s.mesh = mesh; +s.scale = 'MACRO'; +s.bc = {bcV}; +s.ndofs = dim.ndofs; +bc = BoundaryConditions(s); +bc.compute(); +end + + + +function bc = createRawBoundaryConditions(mesh) +dirichletNodes = abs(mesh.coord(:,1)-0) < 1e-12; +rightSide = max(mesh.coord(:,1)); +isInRight = abs(mesh.coord(:,1)-rightSide)< 1e-12; +isInMiddleEdge = abs(mesh.coord(:,2)-0.5) < 0.1; +forceNodes = isInRight & isInMiddleEdge; +forceNodes = isInRight; +nodes = 1:mesh.nnodes; +bcDir = [nodes(dirichletNodes)';nodes(dirichletNodes)']; +% bcDir = [nodes(dirichletNodes)']; + +nodesdir=size(nodes(dirichletNodes),2); +bcDir(1:nodesdir,end+1) = 1; +bcDir(nodesdir+1:end,end) = 2; +bcDir(:,end+1)=0; +bc.dirichlet = bcDir; +bc.pointload(:,1) = nodes(forceNodes); +bc.pointload(:,2) = 2; +bc.pointload(:,3) = -1; +end + + +function material = createMaterial(mesh,ngaus) +I = ones(mesh.nelem,ngaus); +s.ptype = 'ELASTIC'; +s.pdim = '2D'; +s.nelem = mesh.nelem; +s.mesh = mesh; +s.kappa = .9107*I; +s.mu = .3446*I; +mat = Material.create(s); +mat.compute(s); +material = mat; +end + + +function k= computeStiffnessMatrix(mesh,material,displacementFun) +s.type = 'ElasticStiffnessMatrix'; +s.mesh = mesh; +s.fun = displacementFun; +% s.test = displacementFun; +% s.trial = displacementFun; +s.material = material; +lhs = LHSintegrator.create(s); +k=lhs.compute(); +end + +function m=computeMassMatrix(mesh,displacementFun) +s.type = 'MassMatrix'; +s.mesh = mesh; +s.test = displacementFun; +s.trial = displacementFun; +s.quadratureOrder = 'QUADRATIC'; +lhs = LHSintegrator.create(s); +m=lhs.compute(); +end + +function [x,residual] = conjugateGradient(A,B,M) +if nargin == 3 + LHS=(M*A*M'); + RHS=M*B; +else + LHS=A; + RHS=B; + M = speye(size(B,1)); +end +tol = 1e-6; +n = length(RHS); +x = zeros(n,1); +r = RHS - LHS * x; +p = r; +rsold = r' * r; +iter = 0; + +hasNotConverged = true; + +while hasNotConverged + Ap = LHS * p; + alpha = rsold / (p' * Ap); + x = x + alpha * p; + r = r - alpha * Ap; + rsnew = r' * r; + + %hasNotConverged = sqrt(rsnew) > tol; + hasNotConverged = norm(LHS*x - RHS) > tol; + + p = r + (rsnew / rsold) * p; + rsold = rsnew; + iter = iter + 1; + residual(iter) = norm(LHS*x - RHS); %Ax - b +end +x=(M)*x; +end + + +function [x,residual] = preconditionedConjugateGradient(A,B,M) +tol = 1e-6; +n = length(B); +x = zeros(n,1); +r = B - A * x; +z = matVecProd(M,r); +z=r-z; +p = z; +rzold = r' * z; +iter = 0; + +hasNotConverged = true; + +while hasNotConverged + Ap = A * p; + alpha = rzold / (p' * Ap); + x = x + alpha * p; + r = r - alpha * Ap; + z = matVecProd(M,r); + z = r-z; + rznew = r' * z; + + %hasNotConverged = sqrt(rsnew) > tol; + hasNotConverged = norm(r) > tol; + + p = z + (rznew / rzold) * p; + rzold = rznew; + iter = iter + 1; + residual(iter) = norm(r); %Ax - b +end +% x=(M)*x; +end + +function v = matVecProd(M,x) + for i = 1:size(M,2) + x=M{i}*x; + end + v = x; +end + + +function rbFun = createRBfun(mesh) +%domain +if size(mesh,1)==1 + centroid = [sum(mesh.coord(:,1))/mesh.nnodes,sum(mesh.coord(:,2))/mesh.nnodes]; + rbFun = RigidBodyFunction.create(mesh,centroid); +else + %boundary + for i=1:size(mesh,1) + meshb = mesh{i}.mesh; + centroid = [sum(meshb.coord(:,1))/meshb.nnodes,sum(meshb.coord(:,2))/meshb.nnodes]; + rbFun{i} = RigidBodyFunction.create(meshb,centroid); + end +end +end + + +function defFun = createBoundaryDefFun(bmesh,basis,functionType) +for imesh=1:size(bmesh,1) + nodes = unique(bmesh{imesh}.globalConnec); + % nnode= length(nodes); + % for inode=1:nnode + % dof = 2*(nodes(inode)-1)+1; + % dofs(dof)=dof; + % dofs(dof+1)=dof+1; + % end + % dofs=dofs(dofs>0); + for ibasis=1:length(basis) + basisb{ibasis} = basis{ibasis}(nodes,:); + end + + meshb = bmesh{imesh}.mesh; + defFun{imesh} = ModalFunction.create(meshb,basisb,functionType); + clear dofs; +end +end + + + +% +% function a = ichol(a) +% n = size(a,1); +% +% for k = 1:n +% a(k,k) = sqrt(a(k,k)); +% for i = (k+1):n +% if (a(i,k) ~= 0) +% a(i,k) = a(i,k)/a(k,k); +% end +% end +% for j = (k+1):n +% for i = j:n +% if (a(i,j) ~= 0) +% a(i,j) = a(i,j) - a(i,k)*a(j,k); +% end +% end +% end +% end +% +% for i = 1:n +% for j = i+1:n +% a(i,j) = 0; +% end +% end +% end +% end +% end \ No newline at end of file diff --git a/plot_preconditioner.m b/plot_preconditioner.m new file mode 100644 index 0000000000..d921a8b232 --- /dev/null +++ b/plot_preconditioner.m @@ -0,0 +1,139 @@ +clear all; clc; %close all + +mesh20=0; +mesh50=0; +mesh100=1; + +if mesh20==1 +load('./PGCchol_20x20.mat') +residual{1}=PCGchol.residual; +err{1}=PCGchol.err; +errA{1}=PCGchol.errA; + +load('./PGCjacobi_20x20.mat') +residual{2}=PCGjacobi.residual; +err{2}=PCGjacobi.err; +errA{2}=PCGjacobi.errA; + +load('./PGCssor_20x20.mat') +residual{3}=PCGssor.residual; +err{3}=PCGssor.err; +errA{3}=PCGssor.errA; + +load('./PGCmodes_20x20.mat') +residual{4}=PCGmodes.residual; +err{4}=PCGmodes.err; +errA{4}=PCGmodes.errA; + +load('./PGCmodes20_20x20.mat') +residual{5}=PCGmodes20.residual; +err{5}=PCGmodes20.err; +errA{5}=PCGmodes20.errA; + +load('./GC_20x20.mat') +residual{6}=CG.residual; +err{6}=CG.err; +errA{6}=CG.errA; + +tit='Mesh 20x20'; + +elseif mesh50==1 +load('./PGCchol_50x50.mat') +residual{1}=PCGchol.residual; +err{1}=PCGchol.err; +errA{1}=PCGchol.errA; + +load('./PGCjacobi_50x50.mat') +residual{2}=PCGjacobi.residual; +err{2}=PCGjacobi.err; +errA{2}=PCGjacobi.errA; + +load('./PGCssor_50x50.mat') +residual{3}=PCGssor.residual; +err{3}=PCGssor.err; +errA{3}=PCGssor.errA; + +load('./PGCmodes_50x50.mat') +residual{4}=PCGmodes.residual; +err{4}=PCGmodes.err; +errA{4}=PCGmodes.errA; + +load('./PGCmodes20_50x50.mat') +residual{5}=PCGmodes20.residual; +err{5}=PCGmodes20.err; +errA{5}=PCGmodes20.errA; + +load('./GC_50x50.mat') +residual{6}=CG.residual; +err{6}=CG.err; +errA{6}=CG.errA; + +tit='Mesh 50x50'; + +elseif mesh100==1 +load('./PGCchol_100x100.mat') +residual{1}=PCGchol.residual; +err{1}=PCGchol.err; +errA{1}=PCGchol.errA; + +load('./PGCjacobi_100x100.mat') +residual{2}=PCGjacobi.residual; +err{2}=PCGjacobi.err; +errA{2}=PCGjacobi.errA; + +load('./PGCssor_100x100.mat') +residual{3}=PCGssor.residual; +err{3}=PCGssor.err; +errA{3}=PCGssor.errA; + +load('./PGCmodes_100x100.mat') +residual{4}=PCGmodes.residual; +err{4}=PCGmodes.err; +errA{4}=PCGmodes.errA; + +load('./PGCmodes20_100x100.mat') +residual{5}=PCGmodes20.residual; +err{5}=PCGmodes20.err; +errA{5}=PCGmodes20.errA; + +load('./GC_100x100.mat') +residual{6}=CG.residual; +err{6}=CG.err; +errA{6}=CG.errA; + +tit='Mesh 100x100'; +end + +figure +t=tiledlayout(3,1); +title(t,tit) +nexttile +for i=1:length(residual) + plot(residual{i},'LineWidth',1.3) + hold on +end +set(gca, 'YScale', 'log') +xlabel('iteration') +ylabel('residual') +legend('Cholesky','Jacobi','SSOR','Eig 10 Basis','Eig 20 Basis','CG') + +nexttile +for i=1:length(err) + plot(err{i},'LineWidth',1.3) + hold on +end +set(gca, 'YScale', 'log') +xlabel('iteration') +ylabel('||x-x*||') +legend('Cholesky','Jacobi','SSOR','Eig 10 Basis','Eig 20 Basis','CG') + +nexttile +for i=1:length(errA) + plot(errA{i},'LineWidth',1.3) + hold on +end +set(gca, 'YScale', 'log') +xlabel('iteration') +ylabel('||x-x*||_{A}') +legend('Cholesky','Jacobi','SSOR','Eig 10 Basis','Eig 20 Basis','CG') + diff --git a/plot_preconditioner_gradient.m b/plot_preconditioner_gradient.m new file mode 100644 index 0000000000..98258fae14 --- /dev/null +++ b/plot_preconditioner_gradient.m @@ -0,0 +1,139 @@ +clear all; clc; close all + +mesh20=1; +mesh50=1; +mesh100=1; + +if mesh20==1 +load('./PGDchol_20x20.mat') +residual{1}=PGDchol.residual; +err{1}=PGDchol.err; +errA{1}=PGDchol.errA; + +load('./PGDjacobi_20x20.mat') +residual{2}=PGDjacobi.residual; +err{2}=PGDjacobi.err; +errA{2}=PGDjacobi.errA; + +load('./PGDssor_20x20.mat') +residual{3}=PGDssor.residual; +err{3}=PGDssor.err; +errA{3}=PGDssor.errA; + +load('./PGDmodes_20x20.mat') +residual{4}=PGDbasis.residual; +err{4}=PGDbasis.err; +errA{4}=PGDbasis.errA; + +load('./PGDmodes20_20x20.mat') +residual{5}=PGDbasis20.residual; +err{5}=PGDbasis20.err; +errA{5}=PGDbasis20.errA; + +load('./GD_20x20.mat') +residual{6}=GD.residual; +err{6}=GD.err; +errA{6}=GD.errA; + +tit='Mesh 20x20'; + +elseif mesh50==1 +load('./PGCchol_50x50.mat') +residual{1}=PCGchol.residual; +err{1}=PCGchol.err; +errA{1}=PCGchol.errA; + +load('./PGCjacobi_50x50.mat') +residual{2}=PCGjacobi.residual; +err{2}=PCGjacobi.err; +errA{2}=PCGjacobi.errA; + +load('./PGCssor_50x50.mat') +residual{3}=PCGssor.residual; +err{3}=PCGssor.err; +errA{3}=PCGssor.errA; + +load('./PGCmodes_50x50.mat') +residual{4}=PCGmodes.residual; +err{4}=PCGmodes.err; +errA{4}=PCGmodes.errA; + +load('./PGCmodes20_50x50.mat') +residual{5}=PCGmodes20.residual; +err{5}=PCGmodes20.err; +errA{5}=PCGmodes20.errA; + +load('./GC_50x50.mat') +residual{6}=CG.residual; +err{6}=CG.err; +errA{6}=CG.errA; + +tit='Mesh 50x50'; + +elseif mesh100==1 +load('./PGCchol_100x100.mat') +residual{1}=PCGchol.residual; +err{1}=PCGchol.err; +errA{1}=PCGchol.errA; + +load('./PGCjacobi_100x100.mat') +residual{2}=PCGjacobi.residual; +err{2}=PCGjacobi.err; +errA{2}=PCGjacobi.errA; + +load('./PGCssor_100x100.mat') +residual{3}=PCGssor.residual; +err{3}=PCGssor.err; +errA{3}=PCGssor.errA; + +load('./PGCmodes_100x100.mat') +residual{4}=PCGmodes.residual; +err{4}=PCGmodes.err; +errA{4}=PCGmodes.errA; + +load('./PGCmodes20_100x100.mat') +residual{5}=PCGmodes20.residual; +err{5}=PCGmodes20.err; +errA{5}=PCGmodes20.errA; + +load('./GC_100x100.mat') +residual{6}=CG.residual; +err{6}=CG.err; +errA{6}=CG.errA; + +tit='Mesh 100x100'; +end + +figure +t=tiledlayout(3,1); +title(t,tit) +nexttile +for i=1:length(residual) + plot(residual{i},'LineWidth',1.3) + hold on +end +set(gca, 'YScale', 'log') +xlabel('iteration') +ylabel('residual') +legend('Cholesky','Jacobi','SSOR','Eig 10 Basis','Eig 20 Basis','CG') + +nexttile +for i=1:length(err) + plot(err{i},'LineWidth',1.3) + hold on +end +set(gca, 'YScale', 'log') +xlabel('iteration') +ylabel('||x-x*||') +legend('Cholesky','Jacobi','SSOR','Eig 10 Basis','Eig 20 Basis','CG') + +nexttile +for i=1:length(errA) + plot(errA{i},'LineWidth',1.3) + hold on +end +set(gca, 'YScale', 'log') +xlabel('iteration') +ylabel('||x-x*||_{A}') +legend('Cholesky','Jacobi','SSOR','Eig 10 Basis','Eig 20 Basis','CG') + diff --git a/projectorTesting.m b/projectorTesting.m new file mode 100644 index 0000000000..d2a42168b5 --- /dev/null +++ b/projectorTesting.m @@ -0,0 +1,29 @@ +close all;clear all + +x1 = linspace(0,1,5); +x2 = linspace(0,1,5); +[xv,yv] = meshgrid(x1,x2); +[F,V] = mesh2tri(xv,yv,zeros(size(xv)),'x'); +sBg.coord = V(:,1:2); +sBg.connec = F; +mesh = Mesh(sBg); +figure +mesh.plot() + +sAF.fHandle = @(x) [x(1,:,:).^2;x(2,:,:).^2]; % f(x) = x +sAF.ndimf = 2; % number of dimensions +sAF.mesh = mesh; +xFun = AnalyticalFunction(sAF); +xV(1,:,:)=1/3; +xV(2,:,:)=1/3; +xFun.evaluate(xV); + +refpoint = [0.5 0.5]; + +RBfun = xFun.project('RigidBody',refpoint); +P1=RBfun.project('P1'); +P1.plot() +% P1.print('RB') + +P1Fun=xFun.project('P1'); +P1Fun.plot() \ No newline at end of file diff --git a/rbtesting.m b/rbtesting.m new file mode 100644 index 0000000000..0aaf7e4c1b --- /dev/null +++ b/rbtesting.m @@ -0,0 +1,33 @@ +function rbtesting +file = 'test2d_triangle'; +a.fileName = file; +s = FemDataContainer(a); +mesh = s.mesh; + +%%% mesh natural + +ss.mesh=mesh; +ss.fvalues=[0 10 0]; +ss.refPoint= [0.02 0.02]; + +a=RigidBodyFunction(ss); +xV=zeros(2,1,16); +xV(1,:,:)=0.33; +xV(2,:,:)=0.33; +a.evaluate(xV); +p1FUNC = a.project('P1'); +p1FUNC.plot +p1FUNC.print('GiD') + +% FEM +%solution plot + +% eigmodes LHS + +% ModalFunction build + + +% Plot an example with given values + + +end diff --git a/results_fem_disp.vtu b/results_fem_disp.vtu new file mode 100644 index 0000000000..197fc3e142 --- /dev/null +++ b/results_fem_disp.vtu @@ -0,0 +1,61 @@ + + + + + + +0.0000 0.0000 0.0000 +0.0100 0.0100 0.0000 +0.0000 0.0200 0.0000 +0.0200 0.0000 0.0000 +0.0200 0.0200 0.0000 +0.0100 0.0300 0.0000 +0.0300 0.0100 0.0000 +0.0000 0.0400 0.0000 +0.0400 0.0000 0.0000 +0.0300 0.0300 0.0000 +0.0400 0.0200 0.0000 +0.0200 0.0400 0.0000 +0.0400 0.0400 0.0000 + + + + 4 1 3 + 2 1 4 + 0 1 2 + 3 1 0 + 11 5 4 + 7 5 11 + 2 5 7 + 4 5 2 + 10 6 8 + 4 6 10 + 3 6 4 + 8 6 3 + 12 9 10 + 11 9 12 + 4 9 11 + 10 9 4 + 3 6 9 12 15 18 21 24 27 30 33 36 39 42 45 48 + 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 + + + +-1.50231e-16 -2.25347e-16 00000 +-4.19043e-01 -8.99050e-01 00000 +-4.40032e-17 2.87861e-16 00000 +-1.85906e+00 -2.44576e+00 00000 + 8.31086e-17 -2.07997e+00 00000 + 4.19043e-01 -8.99050e-01 00000 +-1.18498e+00 -3.92680e+00 00000 +-6.41149e-17 3.15043e-18 00000 +-2.40092e+00 -5.42913e+00 00000 + 1.18498e+00 -3.92680e+00 00000 + 3.44224e-16 -6.02324e+00 00000 + 1.85906e+00 -2.44576e+00 00000 + 2.40092e+00 -5.42913e+00 00000 + + + + + \ No newline at end of file diff --git a/src/BoundaryConditions/BCApplier.m b/src/BoundaryConditions/BCApplier.m index fbeeccd9e6..50ec0a52c7 100644 --- a/src/BoundaryConditions/BCApplier.m +++ b/src/BoundaryConditions/BCApplier.m @@ -127,6 +127,26 @@ [RHSDir, RHSDirPer] = comp.getRHSVector(); RHSC = [zerosRHS; per_vec; RHSDirPer; RHSDir]; end + + function rVec = fullToReducedVectorDirichlet(obj,fVec) + dofs = 1:1:obj.dirichletFun.nDofs; + free_dofs = setdiff(dofs, obj.dirichlet_dofs); + rVec = fVec(free_dofs); + end + + function rMat = fullToReducedMatrixDirichlet(obj,fMat) + dofs = 1:1:obj.dirichletFun.nDofs; + free_dofs = setdiff(dofs, obj.dirichlet_dofs); + rMat = fMat(free_dofs,free_dofs); + end + + function fVec = reducedToFullVectorDirichlet(obj,rVec) + dofs = 1:1:obj.dirichletFun.nDofs; + free_dofs = setdiff(dofs, obj.dirichlet_dofs); + fVec = zeros(obj.dirichletFun.nDofs,1); + fVec(free_dofs) = rVec; + fVec(obj.dirichlet_dofs) = obj.dirichlet_vals; + end end methods (Access = private) diff --git a/src/Functions/BaseFunction.m b/src/Functions/BaseFunction.m index f00f760232..527bc3be50 100644 --- a/src/Functions/BaseFunction.m +++ b/src/Functions/BaseFunction.m @@ -26,9 +26,12 @@ end end - function fun = project(obj,target) + function fun = project(obj,target,refPoint) s.mesh = obj.mesh; s.projectorType = target; + if nargin == 3 + s.refPoint = refPoint; + end proj = Projector.create(s); fun = proj.project(obj); end diff --git a/src/Functions/FEFunctions/FeFunction.m b/src/Functions/FEFunctions/FeFunction.m index 7db7a195cc..b31194a4ce 100644 --- a/src/Functions/FEFunctions/FeFunction.m +++ b/src/Functions/FEFunctions/FeFunction.m @@ -2,6 +2,7 @@ properties (Constant, Access = public) fType = 'FE' + end properties (GetAccess = public, SetAccess = protected) diff --git a/src/Functions/FEFunctions/LagrangianFunction.m b/src/Functions/FEFunctions/LagrangianFunction.m index 26540645da..e86776ca45 100644 --- a/src/Functions/FEFunctions/LagrangianFunction.m +++ b/src/Functions/FEFunctions/LagrangianFunction.m @@ -347,6 +347,7 @@ function print(obj, filename, software) s.setFValues(-a.fValues); end + end methods (Access = protected) @@ -531,6 +532,7 @@ function generalPlot(obj,plotFun) end end + end end diff --git a/src/Functions/Unfitted/UnfittedMeshFunction.m b/src/Functions/Unfitted/UnfittedMeshFunction.m index 5a68bff256..8517a614f7 100644 --- a/src/Functions/Unfitted/UnfittedMeshFunction.m +++ b/src/Functions/Unfitted/UnfittedMeshFunction.m @@ -97,7 +97,7 @@ function computeInnerMeshFunction(obj) connecLoc = iMesh.mesh.connec; connecGlob = iMesh.globalConnec; glob2loc(connecLoc(:)) = connecGlob(:); - s.fValues = fP1.fValues(glob2loc); + s.fValues = fP1.fValues(glob2loc,:); s.mesh = iMesh.mesh; s.order = 'P1'; fP1Inner = LagrangianFunction(s); @@ -109,7 +109,7 @@ function computeInnerCutMeshFunction(obj) if ~isempty(obj.unfittedMesh.innerCutMesh) cMeshGlobal = obj.computeNonCutMesh(); [fCutMesh,lsCutMesh] = obj.computeNodalValuesFromNonCutMesh(); - innerValues = fCutMesh(obj.isInterior(lsCutMesh)); + innerValues = fCutMesh(obj.isInterior(lsCutMesh),:); subMesh = obj.computeSubMesh(cMeshGlobal); subParams = obj.computeNewNodalValuesFromSubMesh(fCutMesh,lsCutMesh,cMeshGlobal); subLevelSet = [lsCutMesh;subParams.subMeshLevelSet]; @@ -159,7 +159,7 @@ function computeUnfittedBoundaryMeshFunction(obj) mesh = obj.unfittedMesh.backgroundMesh; nodes = unique(mesh.connec(obj.cutCells,:)); lsCutMesh = obj.levelSet(nodes); - fCutMesh = fP1.fValues(nodes); + fCutMesh = fP1.fValues(nodes,:); end function subMesh = computeSubMesh(obj,cMeshGlobal) diff --git a/src/Integrators/LHS/LHSIntegratorFactory.m b/src/Integrators/LHS/LHSIntegratorFactory.m index f05b1f8eea..a2214879f8 100644 --- a/src/Integrators/LHS/LHSIntegratorFactory.m +++ b/src/Integrators/LHS/LHSIntegratorFactory.m @@ -9,7 +9,8 @@ case 'MassMatrixVect' obj = LHSintegrator_Mass_Vect(cParams); case 'BoundaryMassMatrix' - obj = LHSIntegratorMassBoundary(cParams); + %obj = LHSIntegratorMassBoundary(cParams); + obj = LHSintegrator_MassBoundary_albert(cParams); case 'StiffnessMatrix' obj = LHSIntegratorStiffness(cParams); case 'StiffnessMatrixVect' @@ -52,6 +53,8 @@ obj = LHSIntegratorFunctionAdvection(cParams); case 'DivergenceMatrix' obj = LHSintegratorDivergenceMatrix(cParams); + case 'ConditionMatrix' + obj = LHSIntegrator_condition_shape_shape(cParams); end end end diff --git a/src/Integrators/LHS_integratorMassGlobal.m b/src/Integrators/LHS_integratorMassGlobal.m new file mode 100644 index 0000000000..e850234ddb --- /dev/null +++ b/src/Integrators/LHS_integratorMassGlobal.m @@ -0,0 +1,75 @@ +classdef LHS_integratorMassGlobal < handle + + properties (Access = public) + + end + + properties (Access = private) +% material + test + trial + quadrature + quadratureOrder + mesh + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = LHS_integratorMassGlobal(cParams) + obj.init(cParams) + obj.createQuadrature(); + end + + function LHS = compute(obj) + quad = obj.quadrature; + posgp = quad.posgp; + dVolu = obj.mesh.computeDvolume(obj.quadrature); + LHS = zeros(obj.test.nbasis,obj.trial.nbasis); + nFlds = obj.trial.ndimf; + for iBasis = 1: obj.test.nbasis + uI = obj.test.basisFunctions{iBasis}; + fI = uI.evaluate(posgp); + for jBasis = 1:obj.trial.nbasis + vJ = obj.trial.basisFunctions{jBasis}; + fJ = vJ.evaluate(posgp); + for iField = 1:nFlds + uv = squeeze(fI(iField,:,:).*fJ(iField,:,:)); + LHS(iBasis,jBasis) = LHS(iBasis,jBasis) + sum(uv.*dVolu,'all'); + end + end + end + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.test = cParams.test; + obj.trial = cParams.trial; + obj.mesh = cParams.mesh; +% obj.material = cParams.material; %may we need for dynamic +% problems? + obj.setQuadratureOrder(cParams); + end + + function createQuadrature(obj) + quad = Quadrature.set(obj.mesh.type); + quad.computeQuadrature(obj.quadratureOrder); + obj.quadrature = quad; + end + + function setQuadratureOrder(obj, cParams) + if isfield(cParams, 'quadratureOrder') + obj.quadratureOrder = cParams.quadratureOrder; + else + obj.quadratureOrder = 'QUADRATIC'; + end + end + end + +end \ No newline at end of file diff --git a/src/Integrators/LHS_integratorStiffnessGlobal.m b/src/Integrators/LHS_integratorStiffnessGlobal.m new file mode 100644 index 0000000000..1f96f781b4 --- /dev/null +++ b/src/Integrators/LHS_integratorStiffnessGlobal.m @@ -0,0 +1,80 @@ +classdef LHS_integratorStiffnessGlobal < handle + + properties (Access = public) + + end + + properties (Access = private) + material + test + trial + quadrature + quadratureOrder + mesh + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = LHS_integratorStiffnessGlobal(cParams) + obj.init(cParams) + obj.createQuadrature(); + end + + function LHS = compute(obj) + quad = obj.quadrature; + dVolu = obj.mesh.computeDvolume(obj.quadrature); + Cmat = obj.material.C(:,:,:,:); + LHS = zeros(obj.trial.nbasis,obj.test.nbasis); + for iBasis = 1: obj.trial.nbasis + uI = obj.trial.basisFunctions{iBasis}; + defI = uI.computeSymmetricGradient(quad); + defI = defI.transformInVoigtNotation(); + for jBasis = 1:obj.test.nbasis + vJ = obj.test.basisFunctions{jBasis}; + defJ = vJ.computeSymmetricGradient(quad); + defJ = defJ.transformInVoigtNotation(); + for kStre = 1:3 + for lStre = 1:3 + Ckl = squeeze(Cmat(kStre,lStre,:,:))'; + ek = squeeze(defI.fValues(kStre,:,:)); + el = squeeze(defJ.fValues(lStre,:,:)); + kij = ek.*Ckl.*el.*dVolu; + LHS(iBasis,jBasis) = LHS(iBasis,jBasis) + sum(kij(:)); + end + end + end + end + end + + end + + methods (Access = private) + + function init(obj,cParams) + obj.test = cParams.test; + obj.trial = cParams.trial; + obj.mesh = cParams.mesh; + obj.material = cParams.material; + obj.setQuadratureOrder(cParams); + end + + function createQuadrature(obj) + quad = Quadrature.set(obj.mesh.type); + quad.computeQuadrature(obj.quadratureOrder); + obj.quadrature = quad; + end + + function setQuadratureOrder(obj, cParams) + if isfield(cParams, 'quadratureOrder') + obj.quadratureOrder = cParams.quadratureOrder; + else + obj.quadratureOrder = 'QUADRATIC'; + end + end + end + +end \ No newline at end of file diff --git a/src/Mesh/Mesh.m b/src/Mesh/Mesh.m index 8e279e1eac..70a26ca982 100644 --- a/src/Mesh/Mesh.m +++ b/src/Mesh/Mesh.m @@ -250,7 +250,7 @@ function print(obj, filename, software) x = obj.coord(:,1); y = obj.coord(:,2); - k = boundary(x,y); + k = boundary(x,y,0.8); k = k(1:end-1); originalNodes = k; newNodes = (1:length(k))'; diff --git a/src/Problems/Elasticity/ElasticProblem.m b/src/Problems/Elasticity/ElasticProblem.m index ae706b58b6..0e691aaea0 100644 --- a/src/Problems/Elasticity/ElasticProblem.m +++ b/src/Problems/Elasticity/ElasticProblem.m @@ -120,7 +120,7 @@ function computeStiffnessMatrix(obj) lhs = LHSIntegrator.create(s); obj.stiffness = lhs.compute(); end - + function computeForces(obj) s.type = 'Elastic'; s.scale = 'MACRO'; diff --git a/src/Problems/Projectors/ProjectorFactory.m b/src/Problems/Projectors/ProjectorFactory.m index 07a1eca552..002cbfe0b3 100644 --- a/src/Problems/Projectors/ProjectorFactory.m +++ b/src/Problems/Projectors/ProjectorFactory.m @@ -10,6 +10,10 @@ obj = Projector_toRaviartThomas(cParams); case 'N' obj = Projector_toNedelec(cParams); + case 'RigidBody' + obj = Projector_toRigidBody(cParams); + case 'Modal' + obj = Projector_toModalFunction(cParams); end end diff --git a/src/UnfittedMesh/GeometricalFunction.m b/src/UnfittedMesh/GeometricalFunction.m index 541afd82c3..701d3ae9c0 100644 --- a/src/UnfittedMesh/GeometricalFunction.m +++ b/src/UnfittedMesh/GeometricalFunction.m @@ -258,6 +258,12 @@ function selectHandle(obj,cParams) p = cParams.pnorm; fH = @(x) obj.computeHexagonFunction(x,x1,x2,x0,y0,n,p,l); obj.fHandle = fH; + case 'Circles' + r = cParams.r; + x0 = cParams.x0; + y0 = cParams.y0; + fH = @(x) obj.computeCircles(x,x0,y0,r); + obj.fHandle = fH; end end @@ -287,5 +293,14 @@ function computeInclusion(obj,s) d = (normVn/(l*(sqrt(3)/2)))-1; end + function fH = computeCircles(x,x0,y0,r) + n = length(r); + for i =1:n + f(:,:,:,i) = (x(1,:,:)-x0(i)).^2+(x(2,:,:)-y0(i)).^2-r(i)^2; + end + fH = min(f,[],4); + end + + end end \ No newline at end of file diff --git a/src/UnfittedMesh/UnfittedBoundaryMesh.m b/src/UnfittedMesh/UnfittedBoundaryMesh.m index 6cb0aca81d..2fdede3883 100644 --- a/src/UnfittedMesh/UnfittedBoundaryMesh.m +++ b/src/UnfittedMesh/UnfittedBoundaryMesh.m @@ -41,7 +41,7 @@ function compute(obj,ls) if ~isempty(connecLoc) connecGlob = obj.getGlobalConnec{i}; glob2loc(connecLoc(:)) = connecGlob(:); - s.fValues = fP1.fValues(glob2loc); + s.fValues = fP1.fValues(glob2loc,:); s.mesh = uMeshi.backgroundMesh; s.order = 'P1'; fbackMeshi = LagrangianFunction(s); diff --git a/testEIFEM1.mat b/testEIFEM1.mat new file mode 100644 index 0000000000..106c95373a Binary files /dev/null and b/testEIFEM1.mat differ diff --git a/testingPreconditioning.m b/testingPreconditioning.m new file mode 100644 index 0000000000..e182ad6a0e --- /dev/null +++ b/testingPreconditioning.m @@ -0,0 +1,32 @@ +classdef testingPreconditioning < handle + + properties (Access = public) + + end + + properties (Access = private) + + end + + properties (Access = private) + + end + + methods (Access = public) + + function obj = testingPreconditioning(cParams) + obj.init(cParams) + + end + + end + + methods (Access = private) + + function init(obj,cParams) + + end + + end + +end \ No newline at end of file diff --git a/trying.mat b/trying.mat new file mode 100644 index 0000000000..3689c4e1f3 Binary files /dev/null and b/trying.mat differ diff --git a/untitled.m b/untitled.m new file mode 100644 index 0000000000..b8487e45f6 --- /dev/null +++ b/untitled.m @@ -0,0 +1,31 @@ +close all +clear all +m=10; +K=2*diag(ones(2*m+1,1),0) -1*diag(ones(2*m,1),1) -1*diag(ones(2*m,1),-1); +M=4*diag(ones(2*m+1,1),0) + 1*diag(ones(2*m,1),1) +1*diag(ones(2*m,1),-1); +M(1,1)=2;M(end,end)=2; +K(1,1)=1;K(end,end)=1; +Kred=K(2:end-1,2:end-1); +Mred=M(2:end-1,2:end-1); +% [v,d]=eigs(Kred\Mred); +% plot(v(:,1)) +F=zeros(m*2+1,1); +F(10)=10000; +Fred=F(2:end-1); + +%Jacobi + +err=1; +x_old=zeros(m*2+1-2,1); +D=diag(diag(Kred)); +LU=Kred-D; +while err>1e-6 +x_new=D\(Fred-LU*x_old); + err=norm(x_new-x_old); + x_old=x_new; +end + +%direct +x=Kred\Fred; + +error=x_new-x;