PolygonalFem

Julia implementation adapted from the articles / matlab's codes The virtual element method in 50 lines of matlab and mVEM: MATLAB Programming for Virtual Element Methods. See Oliver J. Sutton article (2D case) and Yue Yu github (3D case).

Install PolygonalFem

>] add https://github.com/edljk/PolygonalFem.jl

Benchmark

> using PolygonalFem
> PolygonalFem.vem("squarepolmesh_lesscoarse", 1000)

Numerical convergence orders

Results with random Voronoi cells

Results with regular Voronoi cells (mesh obtained by 1000 iterations of Lloyd's algorithm)

Results with regular Voronoi cells (mesh obtained by 5 iterations of Lloyd's algorithm)