THE ACCELERATED SEARCH-EXTENSION METHOD FOR COMPUTING MULTIPLE SOLUTIONS OF SEMILINEAR PDEs

被引：0
|
作者：
刘跃武
谢资清
陈传淼
机构：
[1] Key Laboratory of Computational and Stochastic Mathematics and Its Applications,Universities of Hunan Province, Hunan Normal University
[2] College of Science, Hunan Agricultural University
来源：
Acta Mathematica Scientia | 2009年 / 29卷 / 04期
基金：
中国国家自然科学基金;
关键词：
semilinear PDEs; multiple solutions; accelerated search-extension method (ASEM); two-grid method;
D O I：
暂无
中图分类号：
O241.82 [偏微分方程的数值解法];
学科分类号：
070102 ;
摘要：
In this paper,we propose an accelerated search-extension method (ASEM) based on the interpolated coeffcient finite element method,the search-extension method (SEM) and the two-grid method to obtain the multiple solutions for semilinear elliptic equations. This strategy is not only successfully implemented to obtain multiple solutions for a class of semilinear elliptic boundary value problems,but also reduces the expensive computation greatly. The numerical results in 1-D and 2-D cases will show the effciency of our approach.
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页码：803 / 816
页数：14
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