Numerical solution of a reaction-diffusion elliptic interface problem with strong anisotropy

被引：18

作者：

Braianov, I ^{[1
]}

Vulkov, L ^{[1
]}

机构：

[1] Univ Rousse, Rousse 7017, Bulgaria

来源：

COMPUTING | 2003年 / 71卷 / 02期

关键词：

singular perturbation; reaction diffusion; elliptic interface problems; finite volume method; Shishkin mesh;

D O I：

10.1007/s00607-003-0009-3

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We consider a singularly perturbed reaction-diffusion elliptic problem in two dimensions (x,y), with strongly anisotropic coefficients and line interface. The second order derivative with respect to x is multiplied by a small parameter epsilon(2). We construct finite volume difference schemes on condensed Shihskin meshes and prove epsilon-uniform convergence in discrete energy and maximum norms. Numerical experiments that agree with the theoretical results are given.

引用

页码：153 / 173

页数：21

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