Convergence of the Finite Volume MPFA O Scheme for Heterogeneous Anisotropic Diffusion Problems on General Meshes

This Note proves the convergence of the finite volume MultiPoint Flux Approximation (MPFA) O scheme for anisotropic and heterogeneous diffusion problems. Its main originality is that our framework and proof deal with general polygonal and polyhedral meshes as well as with L ∞ diffusion coefficients, which is essential in practical applications. To cite this article: L. Agelas, R. Masson, C. R. Acad. Sci. Paris, Ser. I 346 (2008).