AN IMPROVED SEARCH-EXTENTION METHOD FOR SOLVING SEMILINEAR PDES

作     者：谢资清 陈传淼 徐云 Xie Ziqing Chen Chuanmiao Xu Yun Institute of Computation, Hunan Normal University, Changsha 410081, China

作者机构：Institute of Computation Hunan Normal UniversityChangsha 410081China 

出 版 物：《Acta Mathematica Scientia》 (数学物理学报（B辑英文版）)

年 卷 期：2006年第26卷第4期

页      面：757-766页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0704[理学-天文学] 0701[理学-数学] 

基　　金：This research was supported by the National Natural Science Foundation of China (10571053) Scientific Research Fund of Hunan Provincial Education Department (0513039) the Special Funds of State Major Basic Research Projects (G1999032804) 

主　　题：Semilinear PDES interpolated coefficient finite element method multiple solutions improved search-extension 

摘      要：This article will combine the finite element method, the interpolated coefficient finite element method, the eigenfunction expansion method, and the search-extension method to obtain the multiple solutions for semilinear elliptic equations. This strategy not only grently reduces the expensive computation, but also is successfully implemented to obtain multiple solutions for a class of semilinear elliptic boundary value problems with non-odd nonlinearity on some convex or nonconvex domains. Numerical solutions illustrated by their graphics for visualization will show the efficiency of the approach.