The G method for heterogeneous anisotropic diffusion on general meshes
Léo Agélas, Daniele A. Di Pietro, Jérôme Droniou (2010)
ESAIM: Mathematical Modelling and Numerical Analysis
Similarity:
In the present work we introduce a new family of cell-centered Finite Volume schemes for anisotropic and heterogeneous diffusion operators inspired by the MPFA L method. A very general framework for the convergence study of finite volume methods is provided and then used to establish the convergence of the new method. Fairly general meshes are covered and a computable sufficient criterion for coercivity is provided. In order to guarantee consistency in the presence of heterogeneous ...