The trapezoidal rule for computing supersingular integral on interval

被引：2
|
作者：
Wang, Jizhong [1 ]
Li, Jin [1 ]
Zhou, Yueting [2 ]
机构：
[1] Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Peoples R China
[2] Yonsei Univ, Sch Mech Engn, Seoul 120749, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Supersingular integral; Composite trapezoidal rule; Posteriori estimate; Error expansion; CAUCHY PRINCIPAL VALUE; FINITE-PART INTEGRALS; HYPERSINGULAR INTEGRALS; GAUSSIAN QUADRATURE; SINGULAR-INTEGRALS; SUPERCONVERGENCE; APPROXIMATIONS; COMPUTATION; DERIVATIVES; EQUATIONS;
D O I：
10.1016/j.amc.2012.08.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The modified trapezoidal rule for the computation of supersingular integrals in boundary element methods is discussed. For the case of the mesh-point coinciding with singular point, a new quadrature rule is presented and the asymptotic expansion of error function is obtained. Some numerical results are also reported to confirm the theoretical results and show the efficiency of the algorithms. Crown Copyright (C) 2012 Published by Elsevier Inc. All rights reserved.
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页码：1616 / 1624
页数：9
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