Discrete Sobolev inequalities and Lp error estimates for finite volume solutions of convection diffusion equations

被引：42

作者：

Coudière, Y

Gallouët, T

Herbin, R

机构：

[1] INRIA, Projet Sinus, F-06902 Sophia Antipolis, France

[2] Univ Aix Marseille 1, F-13331 Marseille 3, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2001年 / 35卷 / 04期

关键词：

finite volume methods; L-p error estimates; unstructured meshes; convection-diffusion equations;

D O I：

10.1051/m2an:2001135

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The topic of this work is to obtain discrete Sobolev inequalities for piecewise constant functions, and to deduce L-p error estimates on the approximate solutions of convection diffusion equations by finite volume schemes.

引用

页码：767 / 778

页数：12

共 27 条

[1] SOME ERROR-ESTIMATES FOR THE BOX METHOD [J].

BANK, RE ;

ROSE, DJ .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1987, 24 (04) :777-787

[2]

Belmouhoub R., 1996, THESIS ECOLE NATL SU

[3]

CAI ZQ, 1991, NUMER MATH, V58, P713

[4] THE FINITE VOLUME ELEMENT METHOD FOR DIFFUSION-EQUATIONS ON GENERAL TRIANGULATIONS [J].

CAI, ZQ ;

MANDEL, J ;

MCCORMICK, S .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1991, 28 (02) :392-402

[5]

COIRIER WJ, 1995, AIAA J

[6]

Coudière Y, 1999, RAIRO-MATH MODEL NUM, V33, P493

[7]

COUDIERE Y, 2000, ESAIM M2AN, V34, P1109

[8]

COUDIERE Y, 1996, FINITE VOLUMES COMPL, P161

[9]

COUDIERE Y, 1998, 7 INT C NUM AN PLOVD

[10]

DAUGE M, 1988, LECT NOTES MATH, V1341, P1

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