The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain

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	The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain
	Yu, De-hao 1; Huang, Hong-ying 2
	2008-10-01
发表期刊	CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN	1526-1492
卷号	35 期号:3 页码:227-252
摘要	In this paper, we apply the artificial boundary method to solve a three-dimensional nonlinear interface problem on an unbounded domain. A spherical or ellipsoidal surface as the artificial boundary is introduced. The exact artificial boundary conditions are derived explicitly in terms of an infinite series and then the well-posedness of the coupled weak formulation in a bounded domain, which is equivalent to the original problem in the unbounded domain, is obtained. The error estimate depends on the mesh size, the term after truncating the infinite series and the location of the artificial boundary. Some numerical examples are presented to demonstrate the effectiveness and accuracy of this method.
关键词	Artificial boundary method Dirichlet to Neumann mapping Finite element method Natural integral operator Nonlinear interface problem
语种	英语
资助项目	National Basic Research Program of China[G19990328] ; National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; Research Project of Zhejiang Ocean University[X08M013] ; Research Project of Zhejiang Ocean University[X08Z04] ; Scientific Research Projects of Zhejiang Province Science and Technology Department[2008C13068]
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000262058400003
出版者	TECH SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/6380
专题	中国科学院数学与系统科学研究院
通讯作者	Yu, De-hao
作者单位	1.Chinese Acad Sci, ICMSEC, LSEC, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Zhejiang, Peoples R China
推荐引用方式 GB/T 7714	Yu, De-hao,Huang, Hong-ying. The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2008,35(3):227-252.
APA	Yu, De-hao,&Huang, Hong-ying.(2008).The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,35(3),227-252.
MLA	Yu, De-hao,et al."The Artificial Boundary Method for a Nonlinear Interface Problem on Unbounded Domain".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 35.3(2008):227-252.