Add FEM building blocks to IPPL #338
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…ological dim and geometric dim arguments and replacing it with only Dim since we don't take different dimensions into account yet.
class for FEM calculations.
… evalAx - accumulateHalo needs to be done before apply of BC
…ells which are fixed at a constant value
…to test if broke anything else
…compositions when testing with higher node counts
Add non-homogeneous Dirichlet BCs
aaadelmann
reviewed
Apr 27, 2025
Add averaging over elements in FEM framework to take care of constant null space solutions
Conflicts: test/CMakeLists.txt test/solver/CMakeLists.txt
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We are adding a Finite Element Method (FEM) framework to IPPL, with this Pull Request containing the first few building blocks on our way to having also Nédélec and Raviart Thomas elements, and higher-order FEM. Currently, only order 1 Lagrange elements are available. These building blocks of the FEM library can be found in the src/FEM directory. Unit tests have been added in unit_tests/FEM/.
To showcase how to use these to solver PDEs, we have a FEM-based Poisson solver in src/PoissonSolvers/FEMPoissonSolver.h. The test/solver/fem/ directory contains some test problems using this solver, with different boundary conditions.
More information on this framework can be found in the Bachelor Thesis of Lukas Bühler.