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## October 28, 2024
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Moved repositiory from https://github.com/chmerdon/ExtendableFEMBase.jl to https://github.com/WIAS-PDELib/ExtendableFEMBase.jl.
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Moved repository from https://github.com/chmerdon/ExtendableFEMBase.jl to https://github.com/WIAS-PDELib/ExtendableFEMBase.jl.
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[WIAS-PDELib](https://github.com/WIAS-PDELib/) is a github organization created to collectively manage the Julia packages developed under
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the lead of the [WIAS Numerical Mathematics and Scientific Computing](https://wias-berlin.de/research/rgs/fg3) research group.
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According to the [github docs on repository transfer](https://docs.github.com/en/repositories/creating-and-managing-repositories/transferring-a-repository#whats-transferred-with-a-repository),
Copy file name to clipboardExpand all lines: docs/src/fems.md
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#### Remarks
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- each type depends on one/two or three parameters, the first one is always the number of components (ncomponents) that determines if the
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finite element is scalar- or veector-valued; some elements additionaly require the parameter edim <: Int if they are structurally different in different space dimensions; arbitrary order elements require a third parameter that determines the order
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finite element is scalar- or veector-valued; some elements additionally require the parameter edim <: Int if they are structurally different in different space dimensions; arbitrary order elements require a third parameter that determines the order
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- each finite elements mainly comes with a set of basis functions in reference coordinates for each applicable AbstractElementGeometry and degrees of freedom maps for each mesh entity
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- broken finite elements are possible via the broken switch in the [FESpace](@ref) constructor
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- the type steers how the basis functions are transformed from local to global coordinates and how FunctionOperators are evaluated
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## List of implemented Finite Elements
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The following table lists all curently implemented finite elements and on which geometries they are available (in brackets a dofmap pattern for CellDofs is shown and the number of local degrees of freedom for a vector-valued realisation). Click on the FEType to find out more details.
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The following table lists all currently implemented finite elements and on which geometries they are available (in brackets a dofmap pattern for CellDofs is shown and the number of local degrees of freedom for a vector-valued realisation). Click on the FEType to find out more details.
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### P0 finite element
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Piecewise constant finite element that has one degree of freedom on each cell of the grid. (It is masked as a H1-conforming finite element, because it uses the same operator evaulations.)
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Piecewise constant finite element that has one degree of freedom on each cell of the grid. (It is masked as a H1-conforming finite element, because it uses the same operator evaluations.)
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The interpolation of a given function into this space preserves the cell integrals.
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### Pk finite element (experimental)
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The Pk finite element method generically generates polynomials of abitrary order k on simplices (Edge1D, Triangle2D so far).
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The Pk finite element method generically generates polynomials of arbitrary order k on simplices (Edge1D, Triangle2D so far).
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The interpolation of a given function into this space performs point evaluations at the nodes and preserves cell and face integrals in 2D (moment order depends on the order and the element dimension).
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