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Solution of exterior problem using ellipsoidal artificial boundary

文献类型：期刊论文

作者Huang, Hongying1; Liu, Dongjie2; Yu, Dehao3
刊名JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版日期2009-09-01
卷号231期号:1页码:434-446
关键词Artificial boundary method Ellipsoidal harmonic functions Exterior problem Finite element method Lame functions Natural boundary reduction
ISSN号0377-0427
DOI10.1016/j.cam.2009.03.009
英文摘要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.
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
语种英语
WOS记录号WOS:000267393700038
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/7883]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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