A new finite volume scheme for anisotropic diffusion problems on general grids: convergence analysis
نویسندگان
چکیده
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. c © 2007 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS Un nouveau schéma volumes finis pour les problèmes de diffusion anisotrope : analyse de convergence Résumé. 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. c © 2007 Académie des sciences/Éditions scientifiques et médicales Elsevier SAS
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