Extrapolation methods to compute hypersingular integral in boundary element methods

被引：0

作者：

LI Jin ^{[1
]}

ZHANG XiaoPing ^{[2
]}

YU DeHao ^{[3
,4
]}

机构：

[1] School of Science,Shandong Jianzhu University

[2] School of Mathematics and Statistics,Wuhan University

[3] School of Mathematical Sciences,Xiamen University

[4] LSEC,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing

来源：

ScienceChina(Mathematics) | 2013年 / 56卷 / 08期

基金：

中国国家自然科学基金;

关键词：

hypersingular integrals; trapezoidal rule; asymptotic error expansion; extrapolation algorithm;

D O I：

暂无

中图分类号：

O172.2 [积分学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：1648 / 1661

页数：14

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