Approximation of 2-D and 3-D diffusion operators with variable full tensor coefficients on arbitrary meshes

Abstract

A finite volume method is presented for discretizing 2-D and 3-D diffusion operators with variable full tensor coefficients. This method handles anisotropic, non-symmetric or discontinuous variable tensor coefficients while non-conforming or non-convex arbitrary n-sided (n-faced) polygonal (polyhedral) meshes can be used without the numerical results being too much altered. © 2007 Elsevier B.V. All rights reserved.