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.
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页码：869 / 880
页数：12
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