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Mimetic finite differences for elliptic problems

Published online by Cambridge University Press:  05 December 2008

Franco Brezzi ,
Annalisa Buffa  and
Konstantin Lipnikov
Franco Brezzi
Affiliation:
Istituto Universitario di Studi Superiori, Pavia, Italy. brezzi@imati.cnr.it
Annalisa Buffa
Affiliation:
Instituto di Matematica Applicata e Tecnologie Informatiche, Pavia, Italy. annalisa@imati.cnr.it
Konstantin Lipnikov
Affiliation:
Los Alamos National Laboratory, Theoretical Division, MS B284, Los Alamos, NM, 87545, USA. lipnikov@lanl.gov
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Abstract

We developed a mimetic finite difference method for solving elliptic equations with tensor coefficients on polyhedral meshes. The first-order convergence estimates in a mesh-dependent H1 norm are derived.

Keywords

Finite differencespolyhedral meshesdiffusion equationerror estimates.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 43 , Issue 2 , March 2009 , pp. 277 - 295
Copyright
© EDP Sciences, SMAI, 2009

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References

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