Volume 43, Number 2, March-April 2009
|Page(s)||277 - 295|
|Published online||05 December 2008|
Mimetic finite differences for elliptic problems
Istituto Universitario di Studi Superiori, Pavia, Italy. firstname.lastname@example.org
2 Instituto di Matematica Applicata e Tecnologie Informatiche, Pavia, Italy. email@example.com
3 Los Alamos National Laboratory, Theoretical Division, MS B284, Los Alamos, NM, 87545, USA. firstname.lastname@example.org
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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