Extrapolation methods to compute hypersingular integral in boundary element methods

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	Extrapolation methods to compute hypersingular integral in boundary element methods
其他题名	Extrapolation methods to compute hypersingular integral in boundary element methods
	Li Jin 1; Zhang XiaoPing 2; Yu DeHao 3
	2013
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	56 期号:8 页码:1647-1660
摘要	The composite trapezoidal rule for the computation of Hadamard finite-part integrals in boundary element methods with the hypersingular kernel 1/sin(2)(x - s) is discussed, and the main part of the asymptotic expansion of error function is obtained. Based on the main part of the asymptotic expansion, a series is constructed to approach the singular point. An extrapolation algorithm is presented and the convergence rate is proved. Some numerical results are also presented to confirm the theoretical results and show the efficiency of the algorithms.
其他摘要	The composite trapezoidal rule for the computation of Hadamard finite-part integrals in boundary element methods with the hypersingular kernel 1/sin~2(x-s) is discussed,and the main part of the asymptotic expansion of error function is obtained.Based on the main part of the asymptotic expansion,a series is constructed to approach the singular point.An extrapolation algorithm is presented and the convergence rate is proved.Some numerical results are also presented to confirm the theoretical results and show the efficiency of the algorithms.
关键词	CAUCHY PRINCIPAL VALUE FINITE-PART INTEGRALS GAUSSIAN QUADRATURE SINGULAR-INTEGRALS NUMERICAL-SOLUTION EQUATIONS SUPERCONVERGENCE CIRCLE hypersingular integrals trapezoidal rule asymptotic error expansion extrapolation algorithm
收录类别	CSCD
语种	英语
资助项目	[National Natural Science Foundation of China] ; [Shandong Provincial Natural Science Foundation of China] ; [Shandong Province Higher Educational Science and Technology Program] ; [National Basic Research Program of China] ; [Reward Fund of CAS for National Prize]
CSCD记录号	CSCD:4893754
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/55660
专题	中国科学院数学与系统科学研究院
作者单位	1.山东建筑大学 2.武汉大学 3.厦门大学 4.中国科学院数学与系统科学研究院
推荐引用方式 GB/T 7714	Li Jin,Zhang XiaoPing,Yu DeHao. Extrapolation methods to compute hypersingular integral in boundary element methods[J]. SCIENCE CHINA-MATHEMATICS,2013,56(8):1647-1660.
APA	Li Jin,Zhang XiaoPing,&Yu DeHao.(2013).Extrapolation methods to compute hypersingular integral in boundary element methods.SCIENCE CHINA-MATHEMATICS,56(8),1647-1660.
MLA	Li Jin,et al."Extrapolation methods to compute hypersingular integral in boundary element methods".SCIENCE CHINA-MATHEMATICS 56.8(2013):1647-1660.