On a block monotone domain decomposition algorithm for a nonlinear reaction-diffusion problem

被引：0

作者：

Boglaev, Igor ^{[1
]}

机构：

[1] Massey Univ, Inst Fundamental Sci, Palmerston North, New Zealand

来源：

JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS | 2007年 / 9卷 / 01期

关键词：

singularly perturbed reaction-diffusion problem; nonoverlapping domain decomposition; monotone Schwarz alternating algorithm; block iterative scheme; parallel computing;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

This paper deals with discrete monotone iterative algorithms for solving a nonlinear singularly perturbed reaction-diffusion problem. A monotone domain decomposition algorithm based on a Schwarz alternating method and on block iterative scheme is constructed. This monotone algorithm solves only linear discrete systems at each iterative step of the iterative process. The rate of convergence of the monotone Schwarz method is estimated. Numerical experiments are presented.

引用

页码：55 / 75

页数：21

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