Trapezoidal Rule for Computing Supersingular Integral on a Circle

doi:10.1007/s10915-015-0042-3

	Trapezoidal Rule for Computing Supersingular Integral on a Circle
	Li, Jin 1,2; Rui, Hongxing 2; Yu, Dehao 3,4
刊名	JOURNAL OF SCIENTIFIC COMPUTING
	2016-02-01
卷号	66 期号:2 页码:740-760
关键词	Supersingular integral Composite trapezoidal rule Error expansion Superconvergence Boundary element methods
ISSN号	0885-7474
DOI	10.1007/s10915-015-0042-3
英文摘要	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.
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
语种	英语
出版者	SPRINGER/PLENUM PUBLISHERS
WOS记录号	WOS:000368733500013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/21850]
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.