Mimetic finite differences for elliptic problems
ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 2, pp. 277-295.

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 H 1 norm are derived.

DOI : 10.1051/m2an:2008046
Classification : 65N06, 65N12, 65N15, 65N30
Mots-clés : finite differences, polyhedral meshes, diffusion equation, error estimates 
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     title = {Mimetic finite differences for elliptic problems},
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Brezzi, Franco; Buffa, Annalisa; Lipnikov, Konstantin. Mimetic finite differences for elliptic problems. ESAIM: Modélisation mathématique et analyse numérique, Tome 43 (2009) no. 2, pp. 277-295. doi : 10.1051/m2an:2008046. http://www.numdam.org/articles/10.1051/m2an:2008046/

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