Los Alamos National Laboratory
Phone| Search
T-5 HomeResearchPublications › lipnikov-2006-convergence
› Contact › People › Research
› Projects › Highlights › Publications
› Jobs › Visitor Info

Cite Details

Franco Brezzi, Konstantin Lipnikov and Mikhail Shashkov, "Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces", M3AS: Mathematical Models and Methods in Applied Sciences, vol. 16, pp. 275-297, 2006

Abstract

New mimetic finite difference discretizations of diffusion problems on unstructured polyhedral meshes with strongly curved (non-planar) faces are developed. The material properties are described by a full tensor. The optimal convergence estimates, the second order for a scalar variable (pressure) and the first order for a vector variable (velocity), are proved.

BibTeX Entry

@article{lipnikov-2006-convergence,
author = {Franco Brezzi and Konstantin Lipnikov and Mikhail Shashkov},
title = {Convergence of mimetic finite difference method for diffusion problems on polyhedral meshes with curved faces},
year = {2006},
journal = {M3AS: Mathematical Models and Methods in Applied Sciences},
volume = {16},
pages = {275-297}
}