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Yuri Kuznetsov, Konstantin Lipnikov, and Mikhail Shashkov (2004)

The Mimetic Finite Difference Method On Polygonal Meshes For Diffusion-Type Problems

Computers and Geosciences, Volume 8(4):pp. 301-324.

Abstract

Mimetic discretizations based on the support-operators method are derived on general polygonal meshes for diffusion-type equations (for instance, equations modeling single phase Darcy flow in porous media). The first order convergence rate for fluid velocity and second-order convergence rate for pressure on general polygonal, locally refined and non-matching meshes are demonstrated with numerical experiments.

URL http://www.springerlink.com/openurl.asp?genre=article&id=doi:10.1007/s10596-004-3771-1

by admin — last modified 2007-12-10 21:06

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Rice University, MS 41, 6100 Main Street, Houston, TX 77005.

This material is based on work supported by the Department of Energy under Contract
Nos. 03891-001-99-4G, 74837-001-03 49, 86192-001-04 49, and/or 12783-001-05 49
from the Los Alamos National Laboratory.

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