Year: 2019
Author: Jin Li, Hongxing Rui
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 2 : pp. 261–277
Abstract
In this paper, we present the composite rectangle rule for the computation of Hadamard finite-part integrals in boundary element methods with the hypersingular kernel 1/(x−s)2 and we obtain the asymptotic expansion of error function of the middle rectangle rule. Based on the asymptotic expansion, two extrapolation algorithms are presented and their convergence rates are proved, which are the same as the Euler-Maclaurin expansions of classical middle rectangle rule approximations. At last, some numerical results are also illustrated to confirm the theoretical results and show the efficiency of the algorithms.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1802-m2017-0027
Journal of Computational Mathematics, Vol. 37 (2019), Iss. 2 : pp. 261–277
Published online: 2019-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Hadamard finite-part integral Extrapolation method Composite rectangle rule Superconvergence Error functional.