A finite element analysis of a coupled system of singularly perturbed reaction-diffusion equations

被引：30

作者：

Linss, T ^{[1
]}

Madden, N

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：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 148卷 / 03期

关键词：

reaction-diffusion; singular perturbation; solution decomposition; Shishkin mesh;

D O I：

10.1016/S0096-3003(02)00955-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a system of two coupled reaction-diffusion equations. When the parameters multiplying the second-order derivatives in the equations are small, their solutions exhibit boundary layers. Moreover, when the parameters are of different magnitudes, two distinct but overlapping boundary layers are present. We study a finite element discretization on general layer-adapted meshes including the frequently studied Shishkin mesh and the Bakhvalov mesh. Supporting numerical results are presented. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：869 / 880

页数：12

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