On the convergence rate of a parallel nonoverlapping domain decomposition method
文献类型：期刊论文
| 作者 | Qin LiZhen; Shi ZhongCi ; Xu XueJun
|
| 刊名 | SCIENCE IN CHINA SERIES A-MATHEMATICS
 |
| 出版日期 | 2008-08-01 |
| 卷号 | 51期号:8页码:1461-1478 |
| 关键词 | finite elements nonoverlapping domain decomposition convergence rate geometric optimal |
| ISSN号 | 1006-9283 |
| DOI | 10.1007/s11425-008-0103-2 |
| 英文摘要 | In recent years, a nonoverlapping domain decomposition iterative procedure, which is based on using Robin-type boundary conditions as information transmission conditions on the subdomain interfaces, has been developed and analyzed. It is known that the convergence rate of this method is 1 - O(h), where h is mesh size. In this paper, the convergence rate is improved to be 1 - O(h(1/2)H(-1/2)) sometime by choosing suitable parameter, where H is the subdomain size. Counter examples are constructed to show that our convergence estimates are sharp, which means that the convergence rate cannot be better than 1 - O(h(1/2)H(-1/2)) in a certain case no matter how parameter is chosen. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000258074400010 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6865]  |
| 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 | Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Qin LiZhen,Shi ZhongCi,Xu XueJun. On the convergence rate of a parallel nonoverlapping domain decomposition method[J]. SCIENCE IN CHINA SERIES A-MATHEMATICS,2008,51(8):1461-1478. |
| APA | Qin LiZhen,Shi ZhongCi,&Xu XueJun.(2008).On the convergence rate of a parallel nonoverlapping domain decomposition method.SCIENCE IN CHINA SERIES A-MATHEMATICS,51(8),1461-1478. |
| MLA | Qin LiZhen,et al."On the convergence rate of a parallel nonoverlapping domain decomposition method".SCIENCE IN CHINA SERIES A-MATHEMATICS 51.8(2008):1461-1478. |
入库方式： OAI收割
来源：数学与系统科学研究院
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