LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS
文献类型：期刊论文
| 作者 | Chen, Huangxin; Xu, Xuejun
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2010 |
| 卷号 | 47期号:6页码:4492-4516 |
| 关键词 | multilevel methods local smoothers adaptive finite element methods nonsymmetric and indefinite optimality |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/090755849 |
| 英文摘要 | In this paper, we propose some local multilevel algorithms for solving linear systems arising from adaptive finite element approximations of nonsymmetric and indefinite elliptic boundary value problems. Two types of local smoothers are constructed. One is based on the original nonsymmetric problems, and the other is defined in terms of the associated symmetric problems. It is shown that the local multilevel methods for the nonsymmetric and indefinite elliptic boundary value problems are optimal, which means that the convergence rates of the local multilevel methods are independent of mesh sizes and mesh levels provided that the coarsest grid is sufficiently fine. Numerical experiments are reported to confirm our theory. |
| 资助项目 | special funds for major state basic research projects (973)[2005CB321701] ; National Science Foundation (NSF) of China[10731060] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000277836100021 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10406]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Chen, Huangxin |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Huangxin,Xu, Xuejun. LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2010,47(6):4492-4516. |
| APA | Chen, Huangxin,&Xu, Xuejun.(2010).LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS.SIAM JOURNAL ON NUMERICAL ANALYSIS,47(6),4492-4516. |
| MLA | Chen, Huangxin,et al."LOCAL MULTILEVEL METHODS FOR ADAPTIVE FINITE ELEMENT METHODS FOR NONSYMMETRIC AND INDEFINITE ELLIPTIC BOUNDARY VALUE PROBLEMS".SIAM JOURNAL ON NUMERICAL ANALYSIS 47.6(2010):4492-4516. |
入库方式： OAI收割
来源：数学与系统科学研究院
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