| Issue |
ESAIM: M2AN
Volume 43, Number 2, March-April 2009
|
|
|---|---|---|
| Page(s) | 277 - 295 | |
| DOI | https://doi.org/10.1051/m2an:2008046 | |
| Published online | 05 December 2008 | |
Mimetic finite differences for elliptic problems
1
Istituto Universitario di Studi Superiori, Pavia, Italy. brezzi@imati.cnr.it
2
Instituto di Matematica Applicata e Tecnologie Informatiche, Pavia, Italy. annalisa@imati.cnr.it
3
Los Alamos National Laboratory, Theoretical Division, MS B284,
Los Alamos, NM, 87545, USA. lipnikov@lanl.gov
Received:
5
December
2007
Revised:
21
July
2008
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.
Mathematics Subject Classification: 65N06 / 65N12 / 65N15 / 65N30
Key words: Finite differences / polyhedral meshes / diffusion equation / error estimates.
© EDP Sciences, SMAI, 2009
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