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Trapezoidal Rule for Computing Supersingular Integral on a Circle

文献类型：期刊论文

作者Li, Jin1,2; Rui, Hongxing2; Yu, Dehao3,4
刊名JOURNAL OF SCIENTIFIC COMPUTING
出版日期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
DOI10.1007/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
WOS记录号WOS:000368733500013
出版者SPRINGER/PLENUM PUBLISHERS
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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