Natural boundary element method for three dimensional exterior harmonic problem with an inner prolate spheroid boundary

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	Natural boundary element method for three dimensional exterior harmonic problem with an inner prolate spheroid boundary
	Huang, HY; Yu, DH
	2006-03-01
发表期刊	JOURNAL OF COMPUTATIONAL MATHEMATICS
ISSN	0254-9409
卷号	24 期号:2 页码:193-208
摘要	In this paper, we study natural boundary reduction for Laplace equation with Dirichlet or Neumann boundary condition in a three-dimensional unbounded domain, which is the outside domain of a prolate spheroid. We express the Poisson integral formula and natural integral operator in a series form explicitly. Thus the original problem is reduced to a boundary integral equation on a prolate spheroid. The variational formula for the reduced problem and its well-posedness are discussed. Boundary element approximation for the variational problem and its error estimates, which have relation to the mesh size and the terms after the series is truncated, are also presented. Two numerical examples are presented to demonstrate the effectiveness and error estimates of this method.
关键词	natural boundary reduction prolate spheroid boundary finite element exterior harmonic problem
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000235901100008
出版者	GLOBAL 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/3909
专题	中国科学院数学与系统科学研究院
通讯作者	Huang, HY
作者单位	Chinese Acad Sci, LSEC ICMSEC, Acad Math & Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Huang, HY,Yu, DH. Natural boundary element method for three dimensional exterior harmonic problem with an inner prolate spheroid boundary[J]. JOURNAL OF COMPUTATIONAL MATHEMATICS,2006,24(2):193-208.
APA	Huang, HY,&Yu, DH.(2006).Natural boundary element method for three dimensional exterior harmonic problem with an inner prolate spheroid boundary.JOURNAL OF COMPUTATIONAL MATHEMATICS,24(2),193-208.
MLA	Huang, HY,et al."Natural boundary element method for three dimensional exterior harmonic problem with an inner prolate spheroid boundary".JOURNAL OF COMPUTATIONAL MATHEMATICS 24.2(2006):193-208.