THE ELLIPSOID ARTIFICIAL BOUNDARY METHOD FOR THREE-DIMENSIONAL UNBOUNDED DOMAINS

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	THE ELLIPSOID ARTIFICIAL BOUNDARY METHOD FOR THREE-DIMENSIONAL UNBOUNDED DOMAINS
	Huang, Hongying 1; Yu, Dehao 2
	2009-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	27 期号:2-3 页码:196-214
摘要	The artificial boundary method is applied to solve three-dimensional exterior problems. Two kind of rotating ellipsoids are chosen as the artificial boundaries and the exact artificial boundary conditions are derived explicitly in terms of an infinite series. Then the well-posedness of the coupled variational problem is obtained. It is found that error estimates derived depend on the mesh size, truncation term and the location of the artificial boundary. Three numerical examples are presented to demonstrate the effectiveness and accuracy of the proposed method.
关键词	Artificial boundary method Exterior harmonic problem Finite element method Natural boundary reduction Oblate ellipsoid Prelate ellipsoid
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000265073400006
出版者	VSP 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/7814
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, Informat Coll, Zhoushan 316004, Peoples R China 2.Chinese Acad Sci, ICMSEC, LSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, Hongying,Yu, Dehao. THE ELLIPSOID ARTIFICIAL BOUNDARY METHOD FOR THREE-DIMENSIONAL UNBOUNDED DOMAINS[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2009,27(2-3):196-214.
APA	Huang, Hongying,&Yu, Dehao.(2009).THE ELLIPSOID ARTIFICIAL BOUNDARY METHOD FOR THREE-DIMENSIONAL UNBOUNDED DOMAINS.JOURNAL OF COMPUTATIONAL MATHEMATICS,27(2-3),196-214.
MLA	Huang, Hongying,et al."THE ELLIPSOID ARTIFICIAL BOUNDARY METHOD FOR THREE-DIMENSIONAL UNBOUNDED DOMAINS".JOURNAL OF COMPUTATIONAL MATHEMATICS 27.2-3(2009):196-214.