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 norm are derived.
Mots clés : finite differences, polyhedral meshes, diffusion equation, error estimates
@article{M2AN_2009__43_2_277_0, author = {Brezzi, Franco and Buffa, Annalisa and Lipnikov, Konstantin}, title = {Mimetic finite differences for elliptic problems}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {277--295}, publisher = {EDP-Sciences}, volume = {43}, number = {2}, year = {2009}, doi = {10.1051/m2an:2008046}, mrnumber = {2512497}, zbl = {1177.65164}, language = {en}, url = {http://www.numdam.org/articles/10.1051/m2an:2008046/} }
TY - JOUR AU - Brezzi, Franco AU - Buffa, Annalisa AU - Lipnikov, Konstantin TI - Mimetic finite differences for elliptic problems JO - ESAIM: Modélisation mathématique et analyse numérique PY - 2009 SP - 277 EP - 295 VL - 43 IS - 2 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an:2008046/ DO - 10.1051/m2an:2008046 LA - en ID - M2AN_2009__43_2_277_0 ER -
%0 Journal Article %A Brezzi, Franco %A Buffa, Annalisa %A Lipnikov, Konstantin %T Mimetic finite differences for elliptic problems %J ESAIM: Modélisation mathématique et analyse numérique %D 2009 %P 277-295 %V 43 %N 2 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an:2008046/ %R 10.1051/m2an:2008046 %G en %F M2AN_2009__43_2_277_0
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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