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
收藏
页码：153 / 173
页数：21
相关论文
共 50 条
12345