Trapezoidal Rule for Computing Supersingular Integral on a Circle

doi:10.1007/s10915-015-0042-3

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	Trapezoidal Rule for Computing Supersingular Integral on a Circle
	Li, Jin 1,2; Rui, Hongxing 2; Yu, Dehao 3,4
	2016-02-01
发表期刊	JOURNAL OF SCIENTIFIC COMPUTING
ISSN	0885-7474
卷号	66 期号:2 页码:740-760
摘要	The computation of trapezoidal rule for the supersingular integrals on a circle in boundary element methods is discussed. When the singular point coincides with some priori known point, the convergence rate of the trapezoidal rule is higher than the global one which is considered as the superconvergence phenomenon. Then the error functional of density function is derived and the superconvergence phenomenon of composite trapezoidal rule occurs at certain local coordinate of each subinterval. At last, several numerical examples are provided to validate the theoretical analysis and show the efficiency of the algorithms.
关键词	Supersingular integral Composite trapezoidal rule Error expansion Superconvergence Boundary element methods
DOI	10.1007/s10915-015-0042-3
语种	英语
资助项目	National Natural Science Foundation of China[11471195] ; National Natural Science Foundation of China[11201209] ; National Natural Science Foundation of China[91330106] ; China Postdoctoral Science Foundation fund[2013M540541]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000368733500013
出版者	SPRINGER/PLENUM PUBLISHERS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21851
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.Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Peoples R China 2.Shandong Univ, Sch Math, Jinan 250100, Peoples R China 3.Xiamen Univ, Sch Math, Xiamen 361005, Peoples R China 4.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Jin,Rui, Hongxing,Yu, Dehao. Trapezoidal Rule for Computing Supersingular Integral on a Circle[J]. JOURNAL OF SCIENTIFIC COMPUTING,2016,66(2):740-760.
APA	Li, Jin,Rui, Hongxing,&Yu, Dehao.(2016).Trapezoidal Rule for Computing Supersingular Integral on a Circle.JOURNAL OF SCIENTIFIC COMPUTING,66(2),740-760.
MLA	Li, Jin,et al."Trapezoidal Rule for Computing Supersingular Integral on a Circle".JOURNAL OF SCIENTIFIC COMPUTING 66.2(2016):740-760.