A 3D DISCRETE DUALITY FINITE VOLUME METHOD FOR NONLINEAR ELLIPTIC EQUATIONS

被引：42

作者：

Coudiere, Yves ^{[1
]}

Hubert, Florence ^{[2
]}

机构：

[1] Univ Nantes, Lab Math Jean Leray, ECN, CNRS,UMR 6629, Nantes, France

[2] Univ Aix Marseille 1, Lab Anal Topol & Probabil, CNRS, UMR 6632, Marseille, France

来源：

SIAM JOURNAL ON SCIENTIFIC COMPUTING | 2011年 / 33卷 / 04期

关键词：

finite volume methods; error estimates; Leray-Lions operators; DIFFUSION OPERATORS; MESHES; CONVERGENCE; SCHEME; APPROXIMATION;

D O I：

10.1137/100786046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Discrete duality finite volume (DDFV) schemes have recently been developed in two dimensions to approximate nonlinear diffusion problems on general meshes. In this paper, a three-dimensional extension of these schemes is proposed. The construction of this extension is detailed and its main properties are proved: a priori bounds, well-posedness, and error estimates. The practical implementation of this scheme is easy. Numerical experiments are presented to illustrate its good behavior.

引用

页码：1739 / 1764

页数：26

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