Parameter uniform approximations for time-dependent reaction-diffusion problems

被引：22

作者：

Linss, Torsten ^{[1
]}

Madden, Niall

机构：

[1] Tech Univ Dresden, Inst Numer Math, D-01062 Dresden, Germany

[2] Natl Univ Ireland Univ Coll Galway, Dept Math, Galway, Ireland

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2007年 / 23卷 / 06期

关键词：

singularly perturbed; layer-adapted meshes;

D O I：

10.1002/num.20220

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Using discrete Green's functions techniques, we present a classification of fitted mesh methods for time-dependent reaction diffusion problems, based on the analyses of Lin beta (Lin beta, Numer Algor 40 (2005), 23-32) for the analogous steady-state problem and of Kopteva (Kopteva, Computing 66 (2001), 179-197) for time-dependent convection-diffusion problems. As examples of how to apply the analysis, we derive error estimates for the fitted meshes of Shishkin and Balchvalov, and provide supporting numerical results. (c) 2007 Wiley Periodicals, Inc.

引用

页码：1290 / 1300

页数：11

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[1]

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[2]

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Kopteva, N .

COMPUTING, 2001, 66 (02) :179-197

[4]

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[5]

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[6]

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[7]

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[8]

Shishkin GI, 1990, Grid approximation of singularly perturbed elliptic and parabolic equations

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