Convergence of the finite volume MPFA O scheme for heterogeneous anisotropic diffusion problems on general meshes

被引：24

作者：

Agelas, Leo ^{[1
]}

Masson, Roland ^{[1
]}

机构：

[1] Inst Francais Petr, Div Technol, F-92852 Rueil Malmaison, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2008年 / 346卷 / 17-18期

关键词：

D O I：

10.1016/j.crma.2008.07.015

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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-infinity diffusion coefficients, which is essential in practical applications. To cite this article: L. Agelas, R. Masson, C. R. Acad. Sci. Paris, Ser. I 346 (2008). (C) 2008 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：1007 / 1012

页数：6

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