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Trapezoidal Rule for Computing Supersingular Integral on a Circle
Li, Jin1,2; Rui, Hongxing2; Yu, Dehao3,4
2016-02-01
Source PublicationJOURNAL OF SCIENTIFIC COMPUTING
ISSN0885-7474
Volume66Issue:2Pages:740-760
AbstractThe 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.
KeywordSupersingular integral Composite trapezoidal rule Error expansion Superconvergence Boundary element methods
DOI10.1007/s10915-015-0042-3
Language英语
Funding ProjectNational 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 Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000368733500013
PublisherSPRINGER/PLENUM PUBLISHERS
Citation statistics
Cited Times:3[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21851
Collection中国科学院数学与系统科学研究院
Affiliation1.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
Recommended Citation
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.
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