Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains

doi:10.1002/cnm.672

CSpace

	Schwarz alternating method based on natural boundary reduction for time-dependent problems on unbounded domains
	Du, QK ; Yu, DH
	2004-05-01
发表期刊	COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
ISSN	1069-8299
卷号	20 期号:5 页码:363-378
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.
关键词	time-dependent problem parabolic partial differential equations natural boundary reduction domain decomposition two-dimensional exterior problem Schwarz alternating method
DOI	10.1002/cnm.672
语种	英语
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000221432100004
出版者	JOHN WILEY & SONS LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/477
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.