Solution of exterior problem using ellipsoidal artificial boundary

doi:10.1016/j.cam.2009.03.009

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	Solution of exterior problem using ellipsoidal artificial boundary
	Huang, Hongying 1; Liu, Dongjie 2; Yu, Dehao 3
	2009-09-01
发表期刊	JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
ISSN	0377-0427
卷号	231 期号:1 页码:434-446
摘要	In this paper, we present a general ellipsoidal artificial boundary method for three-dimensional exterior problem. The exact artificial boundary condition, which is expressed explicitly by the series concerning the ellipsoidal harmonic functions, is derived and then an equivalent problem in a bounded domain is presented. The error estimates show that the convergence rate depends on the mesh parameter, the number of terms used in the exact artificial boundary condition, and the location of the artificial boundary. (C) 2009 Elsevier B.V. All rights reserved.
关键词	Artificial boundary method Ellipsoidal harmonic functions Exterior problem Finite element method Lame functions Natural boundary reduction
DOI	10.1016/j.cam.2009.03.009
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] ; Zhejiang Ocean University[X08M013] ; Zhejiang Ocean University[X08Z04] ; Zhejiang Province Science and Technology Department[2008C13068] ; Shanghai University Innovation Foundation[A.10-0101-08-415]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000267393700038
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/7884
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, Hongying
作者单位	1.Zhejiang Ocean Univ, Sch Math Phys & Informat Sci, Zhoushan 316004, Zhejiang, Peoples R China 2.Shanghai Univ, Coll Sci, Dept Math, Shanghai 200444, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Hongying,Liu, Dongjie,Yu, Dehao. Solution of exterior problem using ellipsoidal artificial boundary[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,2009,231(1):434-446.
APA	Huang, Hongying,Liu, Dongjie,&Yu, Dehao.(2009).Solution of exterior problem using ellipsoidal artificial boundary.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS,231(1),434-446.
MLA	Huang, Hongying,et al."Solution of exterior problem using ellipsoidal artificial boundary".JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 231.1(2009):434-446.