meshmode: High-Order Meshes and Discontinuous Function Spaces

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Meshmode provides the "boring bits" of high-order unstructured discretization, for simplices (triangles, tetrahedra) and tensor products (quads, hexahedra). Features:

• 1/2/3D, line/surface/volume discretizations in each, curvilinear supported.
• "Everything is a (separate) discretization." (mesh boundaries are, element surfaces are, refined versions of the same mesh are) "Connections" transfer information between discretizations.
• Periodic connectivity.
• Mesh partitioning (not just) for distributed execution (e.g. via MPI).
• Interpolatory, quadrature (overintegration), and modal element-local discretizations.
• Independent of execution environment (GPU/CPU, numpy, ...) via array contexts <https://github.com/inducer/arraycontext/>__.
• Simple mesh refinement (via bisection). Adjacency currently only maintained if uniform.
• Input from Gmsh, Visualization to Vtk (both high-order curvilinear).
• Easy data exchange with Firedrake <https://www.firedrakeproject.org/>__.

Meshmode emerged as the shared discretization layer for pytential <https://github.com/inducer/pytential/>__ (layer potentials) and grudge <https://github.com/inducer/grudge>__ (discontinous Galerkin).

Places on the web related to meshmode:

• Source code on Github <https://github.com/inducer/meshmode>_
• Documentation <https://documen.tician.de/meshmode>_