no. 17-18
Numerical Analysis
Convergence of the finite volume MPFA O scheme for heterogeneous anisotropic diffusion problems on general meshes
[Convergence du schéma volume fini multi-point de type “O” pour les problèmes de diffusion hétérogène anisotrope sur maillages généraux]

Présenté par : Olivier Pironneau

Agelas, Leo1 ; Masson, Roland1
1 Institut français du petrole, Division technologie, information, 1 et 4, avenue de Bois Préau, 92852 Rueil Malmaison, France
Comptes Rendus. Mathématique, Tome 346 (2008) no. 17-18, pp. 1007-1012.

Cette Note démontre la convergence du schéma volume fini de type « O » pour les problèmes de diffusion en milieu hétérogène anisotrope. Sa principale originalité est de traiter des maillages polygonaux et polyédriques généraux ainsi que des coefficients de diffusion L∞, ce qui est essentiel dans les applications.

This Note proves the convergence of the finite volume MultiPoint Flux Approximation (MPFA) O scheme for anisotropic and heterogeneous diffusion problems. Its main originality is that our framework and proof deal with general polygonal and polyhedral meshes as well as with L∞ diffusion coefficients, which is essential in practical applications.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2008.07.015
Agelas, Leo 1 ; Masson, Roland 1

1 Institut français du petrole, Division technologie, information, 1 et 4, avenue de Bois Préau, 92852 Rueil Malmaison, France 
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Agelas, Leo; Masson, Roland. Convergence of the finite volume MPFA O scheme for heterogeneous anisotropic diffusion problems on general meshes. Comptes Rendus. Mathématique, Tome 346 (2008) no. 17-18, pp. 1007-1012. doi : 10.1016/j.crma.2008.07.015. http://www.numdam.org/articles/10.1016/j.crma.2008.07.015/

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