GMGPolar v1.0.2

Corrected two bug without effect on the result:

• Do not build matrix Asc_orth in matrix-free approach
• Correct list of coarser nodes for output

GMGPolar v1.0.1

• Improve output schemes
• Added code coverage
• Added some initial software tests
• Correct setup process with MUMPS coarse solver

GMGPolar v1.0

GMGPolar v1.0

GMGPolar offers a taylored Geometric Multigrid solver for geometries described by curvilinear coordinates (in its simplest case, by polar coordinates). GMGPolar uses an implicit extrapolation scheme to raise the convergence order. For nonstandard finite elements, this result has been shown theoretically and for nine-point finite difference stars, we observed up to convergence order four in all numerical simulations. This extrapolation scheme can be used likewise for other domains described by tensor- or product-format meshes in 2D. For curvilinear domains, suited smoothing schemes have been developed and implemented. GMGPolar offers a matrix and matrix-free version for most of its operators. Its original application is on cross-sectional views of realistic Tokamak geometries for fusion plasma simulations.

Contributors

@Philou31 @chrissy-s96 @mknaranja @carolakruse @CodingAllan