- 修改如下文件中的 tag 版本号: .bumpversion.cfg fealpy/init.py
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ClassName
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keyname
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memberdata
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function_name
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member_function_name
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thisIsFunctionVarable
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ClassName.py
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module_name_file.py
The kinds of mesh :
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IntervalMesh: 区间网格
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TriangleMesh: 三角形网格
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QuadrangleMesh: 四边形网格
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TetrahedronMesh: 四面体网格
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HexahedronMesh: 六面体网格
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PolygonMesh: 多边形网格
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PolyhedronMesh: 多面体网格
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StructureQuadMesh: 结构四边形网格
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StructureHexMesh: 结构六面体体网格
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BlockStructureQuadMesh:
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BlockStructureHexMesh
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Quadtree
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Octree
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Tritree
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BitreeMesh
The name of basic mesh entity:
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node
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cell
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edge
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face
The name rules of the number of entity:
- NN: the Number of Nodes
- NE: the Number of Edges
- NF: the Number of Faces
- NC: the Number of Cells
- NQ: the Number of Quadrature points
- GD: the Geometry Dimension
- TD: the Toplogy Dimension
- NFV: the Number of Face Vertices
- NCV: the Number of Cell Vertices
The basic member data in a mesh:
- node: a numpy array with shape
(NN, GD) - ds : the toplogy data structure, which have the following data member
- NN: the number of nodes
- NC: the number of cells
- edge: a numpy array with shape
(NE, 2) - face: a numpy array with shape
(NF, NFV) - cell: a numpy array iwth shape
(NC, NCV)
other member datas:
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nodedata = {}
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celldata = {}
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edgedata = {}
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facedata = {}
The general member function of a mesh
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geo_dimension()
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top_dimension()
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number_of_nodes()
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number_of_cells()
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number_of_edges()
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number_of_faces()
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number_of_entities(etype)
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entity(etype)
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entity_measure(etype)
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entity_barycenter(etype)
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integrator(index) : get the quadrature formula on this kind of mesh
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bc_to_points(bc) : transform quadrature points in barycentric coordinates to points in pysical cells
For every mesh, there is toplogy data member ds, which contain the toplogy
data of mesh.
The toplogy relationship function in ds:
- cell_to_node(...): return
cell2node - cell_to_edge(...): return
cell2edge - cell_to_face(...): return
cell2face - cell_to_cell(...): return
cell2cell - face_to_node(...): return
face2node - face_to_edge(...): return
face2edge - face_to_face(...): return
face2face - face_to_cell(...): return
face2cell - edge_to_node(...): return
edge2node - edge_to_edge(...): return
edge2edge - edge_to_face(...): return
edge2face - edge_to_cell(...): return
edge2cell - node_to_node(...): return
node2node - node_to_edge(...): return
node2edge - node_to_face(...): return
node2face - node_to_cell(...): return
node2cell
- ldof: the number of local dof on each cell
- gdof: the number of global dof on the whole mesh
(NQ, NC, ldof, m, n, ...)
The member function in a FunctionSpace:
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number_of_global_dofs()
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number_of_local_dofs()
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cell_to_dof()
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boundary_dof()
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basis(bc)
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gradbasis(bc)
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function()
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interpolation(u):
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projection(u):
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array(dim=None)
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value(u, bc, cellidx=None)
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grad_value(u, bc, cellidx=None)
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div_value(u, bc, cellidx=None)
c: 单元指标 f: 面指标 e: 边指标 v: 顶点个数指标 i, j, k, d: 自由度或基函数指标 q: 积分点或重心坐标点指标 m, n: 空间或拓扑维数指标