A linear and accurate diffusion scheme respecting the maximum principle on distorted meshes
Vincent Siess · Comptes Rendus Mathématique · 2009
This Note is devoted to the presentation of a linear diffusion scheme that respects the maximum principle on very distorted meshes. The main idea is to use a classical Finite Volumes scheme and to perform a first integration on the Voronoï mesh based on the centers of the cells. A second integration on the primary mesh is then performed. By construction the scheme preserves the maximum principle. A numerical example is also given.