| AN IMPROVED SEARCH-EXTENTION METHOD FOR SOLVING SEMILINEAR PDES |
| |
| 引用本文： | 谢资清 陈传淼 徐云. AN IMPROVED SEARCH-EXTENTION METHOD FOR SOLVING SEMILINEAR PDES[J]. 数学物理学报(B辑英文版), 2006, 26(4): 757-766. DOI: 10.1016/S0252-9602(06)60102-1 |
| |
| 作者姓名： | 谢资清 陈传淼 徐云 |
| |
| 作者单位： | Institute of Computation Hunan Normal University Changsha 410081，China，Institute of Computation Hunan Normal University，Changsha 410081，China，Institute of Computation Hunan Normal University，Changsha 410081，China |
| |
| 基金项目： | 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) |
| |
| 摘 要： | This article will combine the finite element method, the interpolated coefftcient 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.
|
| 关 键 词： | 半线性PDES 内插系数有限元法 多重解 改良搜索扩张 |
| 收稿时间： | 2005-01-10 |
AN IMPROVED SEARCH-EXTENTION METHOD FOR SOLVING SEMILINEAR PDES |
| |
| Ziqing Xie, Chuanmiao Chen,Yun Xu. AN IMPROVED SEARCH-EXTENTION METHOD FOR SOLVING SEMILINEAR PDES[J]. Acta Mathematica Scientia, 2006, 26(4): 757-766. DOI: 10.1016/S0252-9602(06)60102-1 |
| |
| Authors: | Ziqing Xie Chuanmiao Chen Yun Xu |
| |
| Affiliation: | aInstitute of Computation, Hunan Normal University, Changsha 410081, China |
| |
| Abstract: | This article will combine the finite element method, the interpolated coefftcient 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. |
| |
| Keywords: | Semilinear PDES interpolated coefficient finite element method multiple solutions improved search-extension |
| 本文献已被 CNKI 维普 万方数据 ScienceDirect 等数据库收录！ |
