WIP: lobatto shape functions

97ab45e5 - Implementation of lobatto shape functions on simplex elements
549cc47f - Merge branch 'feature/lobatto-simplex' into 'feature/lobatto-shape-functions'

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mentioned in merge request !209 (merged)

added 1 commit

29dcfd33 - Restructure the implementation of Lobatto interpolation on simplex and cube

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added 1 commit

8c4e66a6 - Simplify some vertex permutation code

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added 46 commits

8c4e66a6...52d168b8 - 17 commits from branch master
02c3006b - Add Lobatto shape functions
9a4f9072 - Extracted lobatto shape functions into separate file
6eecd8d5 - Started the implementation of lobatto shape functions on cubes
d1157cf4 - Implemented LocalCoefficients and partially the LocalInterpolation for Lobatto shape functions
91598ed5 - Add test of Lobatto shape functions using test-localfe
f82712e1 - Move derivative traits to common directory
53f49c6d - Add missing derivative.hh file
04953473 - improve the interface of LobattoOrders
42cb17b9 - Implement an L2-projection as interpolation for the Lobatto Shape functions
06815052 - Integer comparison warnings
0cb22c5a - Local interpolation codim-wise
9999695a - Make the LobattoOrders more GeometryType generic
b25c12a3 - Implement an orientation of the lobatto base functions by essentially changing the signs
ac97e042 - Add additional braces
04d18abe - Improve the orders definition and fix 3d local coefficients
910185b6 - Move GeometryType to constructor of LobattoOrders
ff91a777 - Repair the test-lobatto
4f15dfa4 - Extend innner and difference functions
79073a23 - Cleanup of the implementation
5996074d - Add set method to orders
8f32bfd5 - Fix default value of GeometryType
acfe4b20 - Add some documentation
5f3f6207 - Add LobattoGeometry for computing number of DOFs per GeometryType
c568857d - Fix some issues with LobattoGeometry
ad26b0a0 - Update the orientation and fix simplex bug
454e5efb - Implementation of lobatto shape functions on simplex elements
958b605f - Restructure the implementation of Lobatto interpolation on simplex and cube
feac7d14 - Simplify some vertex permutation code
5c6c7598 - Extract implementatin of 1d geometry

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added 1 commit

a7bd4151 - Add Lobatto basis on a line

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@andreas.dedner: Isn't that the same as we have in dune-fem?

This is just a Draft of a student project implementing the Lobatto shape functions (in 1d, 2d, 3d) following the book by Solin, Segeth, Dolezel (Higher-Order Finite Element Methods). This MR is not yet properly documented, though.

We have thought about ways to get the global element orientation that is part of the definition of the shape functions (since we don't have something like twists in dune-localfunctions or dune-grid). This branch is also used in an experimental dune-functions branch (staging/dune-functions!309) that allows local p-adaptivity for the global (continuous) finite element functions and we used it in an experiment to have higher-order boundary parametrizations with linear bulk elements.

If there is something similar in dune-fem it would be nice to compare, maybe to extract some ideas here to dune-localfunctions so that modules not depending on dune-fem could also make use of it. Also if there are some implementation experiences, it would be nice to share.

Yes, we have Lobatto shape functions. But it is using the Lagrange shape functions in dune-localfunctions and then using the Lobatto qaudrature from dune-geometry as interpolation points. I think this code could be moved to dune-localfunctions.

Here: https://gitlab.dune-project.org/dune-fem/dune-fem/-/blob/master/dune/fem/space/localfiniteelement/quadratureinterpolation.hh

Would be nice. It is then simply the LagrangeFunctions with a LobattoPointSet? In this MR we have implemented the flexibility to have different polynomial orders in interior, edges, and faces.

Right now it's simply the LagrangeFunction with LobattoPointSet. But altering the polynomial orders would be nice too.

added 86 commits

a7bd4151...8f1cb335 - 55 commits from branch master
ac47a554 - Add Lobatto shape functions
e4f5f5f6 - Extracted lobatto shape functions into separate file
6eed0921 - Started the implementation of lobatto shape functions on cubes
02424033 - Implemented LocalCoefficients and partially the LocalInterpolation for Lobatto shape functions
5329586b - Add test of Lobatto shape functions using test-localfe
205c7b8b - Move derivative traits to common directory
c3881226 - Add missing derivative.hh file
1ea72de9 - improve the interface of LobattoOrders
8bd381f9 - Implement an L2-projection as interpolation for the Lobatto Shape functions
0e131684 - Integer comparison warnings
5f67097d - Local interpolation codim-wise
90052fa4 - Make the LobattoOrders more GeometryType generic
4c853e06 - Implement an orientation of the lobatto base functions by essentially changing the signs
b1e294ae - Add additional braces
405e36bd - Improve the orders definition and fix 3d local coefficients
2029bcaa - Move GeometryType to constructor of LobattoOrders
1663027f - Repair the test-lobatto
c2cb402c - Extend innner and difference functions
28572746 - Cleanup of the implementation
385050ae - Add set method to orders
171ba936 - Fix default value of GeometryType
ce8decca - Add some documentation
05de2f67 - Add LobattoGeometry for computing number of DOFs per GeometryType
e00c0239 - Fix some issues with LobattoGeometry
44dbb9f9 - Update the orientation and fix simplex bug
503b599d - Implementation of lobatto shape functions on simplex elements
196dd4ef - Restructure the implementation of Lobatto interpolation on simplex and cube
f35c002e - Simplify some vertex permutation code
29da7bd2 - Extract implementatin of 1d geometry
39beb1dd - Add Lobatto basis on a line
5cd9a909 - Use the correct kernel functions

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added 1 commit

ae89a97d - Add copyright header

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added 1 commit

dc84ed7b - Add some documentation and more flexibility in orientation

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added 1 commit

0ba8326b - Improve the implementation of 3d simplex Lobatto functions/Jacobians

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added 40 commits

0ba8326b...ccc480db - 6 commits from branch master
ccc480db...3085e75f - 24 earlier commits
4960b2f9 - Update the orientation and fix simplex bug
d8eb3fd6 - Implementation of lobatto shape functions on simplex elements
4e0c8f82 - Restructure the implementation of Lobatto interpolation on simplex and cube
350a141b - Simplify some vertex permutation code
b2715b7e - Extract implementatin of 1d geometry
e4114c8d - Add Lobatto basis on a line
445a2270 - Use the correct kernel functions
20119a52 - Add copyright header
b7dcb8ab - Add some documentation and more flexibility in orientation
337c44e4 - Improve the implementation of 3d simplex Lobatto functions/Jacobians

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mentioned in merge request !275

added 108 commits

337c44e4...812224e4 - 73 commits from branch master
812224e4...0dc0692e - 25 earlier commits
acee1f49 - Implementation of lobatto shape functions on simplex elements
2f05d5f1 - Restructure the implementation of Lobatto interpolation on simplex and cube
0d554284 - Simplify some vertex permutation code
937712bf - Extract implementatin of 1d geometry
6086f502 - Add Lobatto basis on a line
4f59a108 - Use the correct kernel functions
705bafe4 - Add copyright header
8758d850 - Add some documentation and more flexibility in orientation
f7547834 - Improve the implementation of 3d simplex Lobatto functions/Jacobians
e3a188b7 - Fix some issues after rebase

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WIP: lobatto shape functions

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