Numerical Analysis
A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis
Comptes Rendus. Mathématique, Volume 344 (2007) no. 6, pp. 403-406.

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.

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.

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DOI: 10.1016/j.crma.2007.01.024
Eymard, Robert 1; Gallouët, Thierry 2; Herbin, Raphaèle 2

1 Université de Marne-la-Vallée, 77454 Marne-la-Vallée cedex 2, France
2 Université de Provence, 39, rue Joliot-Curie, 13453 Marseille cedex 13, France
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Eymard, Robert; Gallouët, Thierry; Herbin, Raphaèle. A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis. Comptes Rendus. Mathématique, Volume 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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