Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains
文献类型：期刊论文
| 作者 | Du, QK; Yu, DH |
| 刊名 | COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
 |
| 出版日期 | 2004-05-01 |
| 卷号 | 20期号:5页码:363-378 |
| 关键词 | time-dependent problem parabolic partial differential equations natural boundary reduction domain decomposition two-dimensional exterior problem Schwarz alternating method |
| ISSN号 | 1069-8299 |
| DOI | 10.1002/cnm.672 |
| 英文摘要 | By using the natural boundary reduction an overlapping domain decomposition method is designed to solve some exterior two-dimensional time-dependent parabolic problems. The governing equation is first discretized in time, leading to a sequence of boundary value problems with respect to time step in an unbounded domain. Then artificial boundaries are introduced. For each time level, an overlapping domain decomposition method, which is based on the natural boundary reduction, is constructed to solve the exterior elliptic boundary value problem on a two-dimensional domain. It is shown that the algorithm is equivalent to Schwarz alternating method. The convergence of this algorithm is given. The contraction factor for the exterior circular domain is also discussed. In the end of this paper, some numerical examples are presented, which illustrate the feasibility and the effectiveness of the proposed methods in this paper. Copyright (C) 2004 John Wiley Sons, Ltd. |
| WOS研究方向 | Engineering ; Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000221432100004 |
| 出版者 | JOHN WILEY & SONS LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/476]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Du, QK |
| 作者单位 | 1.Nanjing Normal Univ, Sch Math & Comp Sci, Nanjing 210097, Jiangsu, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Du, QK,Yu, DH. Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains[J]. COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING,2004,20(5):363-378. |
| APA | Du, QK,&Yu, DH.(2004).Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains.COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING,20(5),363-378. |
| MLA | Du, QK,et al."Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains".COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING 20.5(2004):363-378. |
入库方式： OAI收割
来源：数学与系统科学研究院
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