SPECTRAL ANALYSIS OF DIRICHLET-NEUMANN OPERATORS AND OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS
文献类型：期刊论文
| 作者 | Xu, Xuejun1 ; Qin, Lizhen2
|
| 刊名 | SIAM JOURNAL ON NUMERICAL ANALYSIS
 |
| 出版日期 | 2010 |
| 卷号 | 47期号:6页码:4540-4568 |
| 关键词 | finite elements optimized Schwarz methods with Robin transmission conditions nonoverlapping domain decomposition convergence rate Dirichlet-Neumann operators |
| ISSN号 | 0036-1429 |
| DOI | 10.1137/080713653 |
| 英文摘要 | In this paper, the tight relationship between Dirichlet-Neumann (D-N) operators and optimized Schwarz methods with Robin transmission conditions is disclosed. We describe the spectral distribution of continuous D-N operators and give a rigorous spectral analysis of discrete D-N operators. By these results, we prove that the optimized Schwarz methods with Robin transmission conditions cannot converge geometrically in the case of continuous problems. Furthermore, we get the accurate convergence rate of the two-subdomain case. In addition, an estimation of convergence rate of the optimized Schwarz methods is presented in the general case. Most of our results are asymptotically sharp. |
| 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:000277836100023 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/9408]  |
| 专题 | 计算数学与科学工程计算研究所 |
| 通讯作者 | Xu, Xuejun |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100190, Peoples R China 2.Wayne State Univ, Dept Math, Detroit, MI 48202 USA |
| 推荐引用方式 GB/T 7714 | Xu, Xuejun,Qin, Lizhen. SPECTRAL ANALYSIS OF DIRICHLET-NEUMANN OPERATORS AND OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS,2010,47(6):4540-4568. |
| APA | Xu, Xuejun,&Qin, Lizhen.(2010).SPECTRAL ANALYSIS OF DIRICHLET-NEUMANN OPERATORS AND OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS.SIAM JOURNAL ON NUMERICAL ANALYSIS,47(6),4540-4568. |
| MLA | Xu, Xuejun,et al."SPECTRAL ANALYSIS OF DIRICHLET-NEUMANN OPERATORS AND OPTIMIZED SCHWARZ METHODS WITH ROBIN TRANSMISSION CONDITIONS".SIAM JOURNAL ON NUMERICAL ANALYSIS 47.6(2010):4540-4568. |
入库方式： OAI收割
来源：数学与系统科学研究院
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