Comptes Rendus
Numerical Analysis
Convergence of the finite volume MPFA O scheme for heterogeneous anisotropic diffusion problems on general meshes
Comptes Rendus. Mathématique, Volume 346 (2008) no. 17-18, pp. 1007-1012.

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.

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.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2008.07.015

Leo Agelas 1; Roland Masson 1

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

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