An error estimate for finite volume methods for the Stokes equations on equilateral triangular meshes

被引：19

作者：

Blanc, P ^{[1
]}

Eymard, R ^{[1
]}

Herbin, R ^{[1
]}

机构：

[1] Univ Aix Marseille 1, Marseille, France

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2004年 / 20卷 / 06期

关键词：

finite volume scheme; Stokes equation;

D O I：

10.1002/num.20020

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give here an error estimate for a finite volume discretization of the Stokes equations in two space dimensions on equilateral triangular meshes. This work was initiated by an analogous result presented by Alami-Idrissi and Atounti for general triangular meshes. However, in this latter article, the result is not actually proven. We state here the restricting assumptions (namely equilateral triangles) under which the error estimate holds, using the tools which were introduced by Eymard, Gallouet and Herbin and used by Alami-Idrissi and Atounti. (C) 2004 Wiley Periodicals, Inc.

引用

页码：907 / 918

页数：12

共 7 条

[1]

ALAMIIDRISSI A, 2002, J INEQUALITIES PURE, V3

[2]

CIARLET P. G., 1978, The Finite Element Method for Elliptic Problems

[3] A cell-centered finite volume scheme on general meshes for the Stokes equations in two space dimensions [J].