A vertex-centered finite volume scheme preserving the discrete maximum principle for anisotropic and discontinuous diffusion equations (Q2237905)

The authors propose a nonlinear vertex-centered finite volume (FV) scheme preserving the discrete maximum principle (DMP) for diffusion equations on distorted mildly meshes. They construct the vertex-centered scheme on dual meshes. They prove that their scheme satisfies the DMP, and show the advantages and characteristics of their scheme by some numerical experiments.