Solution method is based on orthogonal primal-dual mesh generation

Mesh generation in a nutshell

• create a set of n-dimensional vertices
• create dual mesh by building a Voronoi-diagram with desired metric
• create primal mesh, where each p-cell corresponds with just one dual (n-p)-cell

Efficiency of the solution method is based of Hodge approximations, which depend on quality of a mesh. To easily ensure high-quality meshing, we employ structured space tiling.

We apply the mesh generation process up to 4-dimensions. This enables also space-time meshing.