Convergence of the Mimetic Finite Difference Method for Diffusion Problems on Polyhedral Meshes

Franco Brezzi, Konstantin Lipnikov, Mikhail Shashkov

Type: Article

Publication Date: 2005-01-01

Citations: 350

DOI: https://doi.org/10.1137/040613950

Abstract

The stability and convergence properties of the mimetic finite difference method for diffusion-type problems on polyhedral meshes are analyzed. The optimal convergence rates for the scalar and vector variables in the mixed formulation of the problem are proved.

Locations

SIAM Journal on Numerical Analysis - View
CiteSeer X (The Pennsylvania State University) - View - PDF

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