The extrapolation methods based on Simpson's rule for computing supersingular integral on interval

被引：8
|
作者：
Li, Jin [1 ]
机构：
[1] Shandong Jianzhu Univ, Sch Sci, Jinan 250101, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 310卷
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Supersingular integral; Extrapolation method; Composite Simpson's rule; Posteriori estimate; FINITE-PART INTEGRALS; CAUCHY PRINCIPAL VALUE; HYPERSINGULAR INTEGRALS; BOUNDARY-ELEMENT; GAUSSIAN QUADRATURE; SUPERCONVERGENCE; COMPUTATION; DERIVATIVES; FORMULA;
D O I：
10.1016/j.amc.2017.04.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Simpson's rule for the computation of supersingular integrals in boundary element methods is discussed, and the asymptotic expansion of error function is obtained. A series to approach the singular point is constructed. The extrapolation algorithm is presented and the convergence rate is proved. Some numerical results are also reported to confirm the theoretical results and show the efficiency of the algorithms. (C) 2017 Elsevier Inc. All rights reserved.
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页码：204 / 214
页数：11
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