[Un nouveau schéma volumes finis pour les problèmes de diffusion anisotrope : analyse de convergence]
On introduit ici un nouveau schéma volumes finis, construit pour la discrétisation de problèmes de diffusion anisotrope sur des maillages généraux ; l'originalité de ce travail réside dans sa preuve de convergence, qui ne nécessite que des hypothèses faibles sur le maillage.
We introduce here a new finite volume scheme which was developed for the discretization of anisotropic diffusion problems; the originality of this scheme lies in the fact that we are able to prove its convergence under very weak assumptions on the discretization mesh.
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@article{CRMATH_2007__344_6_403_0,
author = {Eymard, Robert and Gallou\"et, Thierry and Herbin, Rapha\`ele},
title = {A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis},
journal = {Comptes Rendus. Math\'ematique},
pages = {403--406},
publisher = {Elsevier},
volume = {344},
number = {6},
year = {2007},
doi = {10.1016/j.crma.2007.01.024},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2007.01.024/}
}
TY - JOUR AU - Eymard, Robert AU - Gallouët, Thierry AU - Herbin, Raphaèle TI - A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis JO - Comptes Rendus. Mathématique PY - 2007 SP - 403 EP - 406 VL - 344 IS - 6 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2007.01.024/ DO - 10.1016/j.crma.2007.01.024 LA - en ID - CRMATH_2007__344_6_403_0 ER -
%0 Journal Article %A Eymard, Robert %A Gallouët, Thierry %A Herbin, Raphaèle %T A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis %J Comptes Rendus. Mathématique %D 2007 %P 403-406 %V 344 %N 6 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2007.01.024/ %R 10.1016/j.crma.2007.01.024 %G en %F CRMATH_2007__344_6_403_0
Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle. A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Comptes Rendus. Mathématique, Tome 344 (2007) no. 6, pp. 403-406. doi : 10.1016/j.crma.2007.01.024. http://www.numdam.org/articles/10.1016/j.crma.2007.01.024/
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