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Error estimation of quadrature rules for evaluating singular integrals in boundary element problems

Citation

Johnston, PR and Elliott, D, Error estimation of quadrature rules for evaluating singular integrals in boundary element problems, International Journal for Numerical Methods in Engineering, 48, (7) pp. 949-962. ISSN 0029-5981 (2000) [Refereed Article]

DOI: doi:10.1002/(SICI)1097-0207(20000710)48:7<949::AID-NME905>3.3.CO;2-H

Abstract

The efficient numerical evaluation of integrals arising in the boundary element method is of considerable practical importance. The superiority of the use of sigmoidal and semi-sigmoidal transformations together with Gauss-Legendre quadrature in this context has already been well-demonstrated numerically by one of the authors. In this paper, the authors obtain asymptotic estimates of the truncation errors for these algorithms. These estimates allow an informed choice of both the transformation and the quadrature error in the evaluation of boundary element integrals with algebraic or algebraic/logarithmic singularities at an end-point of the interval of integration. Copyright © 2000 John Wiley & Sons, Ltd.

Item Details

Item Type:Refereed Article
Research Division:Mathematical Sciences
Research Group:Numerical and Computational Mathematics
Research Field:Numerical Analysis
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Johnston, PR (Dr Peter Johnston)
Author:Elliott, D (Professor David Elliott)
ID Code:18429
Year Published:2000
Web of Science® Times Cited:22
Deposited By:Mathematics
Deposited On:2000-08-01
Last Modified:2011-10-10
Downloads:0

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