Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods

CSpace

	Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods
	Li, Jin 1; Wu, Ji-ming 2; Yu, De-hao 1
	2009-03-01
发表期刊	CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES
ISSN	1526-1492
卷号	42 期号:2 页码:151-175
摘要	The trapezoidal rule for the computation of Hadamard finite-part integrals in boundary element methods is discussed, and the asymptotic expansion of error function is obtained. A series to approach the singular point is constructed and the convergence rate is proved. Based on the asymptotic expansion of the error functional, algorithm with theoretical analysis of the generalized extrapolation are given. Some examples show that the numerical results coincide with the theoretic analysis very well.
关键词	Hypersingular integrals trapezoidal rule asymptotic error expansion extrapolation algorithm
语种	英语
资助项目	National Basic Research Program of China[2005CB321701] ; National Natural Science Foundation of China[10531080] ; National Natural Science Foundation of China[10871030] ; Natural Science Foundation of Beijing[1072009] ; Laboratory of Computational Physics
WOS研究方向	Engineering ; Mathematics
WOS类目	Engineering, Multidisciplinary ; Mathematics, Interdisciplinary Applications
WOS记录号	WOS:000266569000004
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/7725
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Jin
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China 2.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100088, Peoples R China
推荐引用方式 GB/T 7714	Li, Jin,Wu, Ji-ming,Yu, De-hao. Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,2009,42(2):151-175.
APA	Li, Jin,Wu, Ji-ming,&Yu, De-hao.(2009).Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods.CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES,42(2),151-175.
MLA	Li, Jin,et al."Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods".CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES 42.2(2009):151-175.