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

Authors:
Franco Brezzi;Konstantin Lipnikov;Mikhail Shashkov
Affiliations:
-;-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2005

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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.