Superconvergence of hermite rule for third order hypersingular integrals on interval-Reference-Cited by-同舟云学术

Superconvergence of hermite rule for third order hypersingular integrals on interval

Published:2023 Issue:29 Volume:37 Page:10065-10076
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Li Jin¹,Sang Yu²,Zhang Xiaolei²

Affiliation:

1. School of Science, Shandong Jianzhu University, Jinan, P.R. China + School of Science, North China University of Science and Technology, Tangshan, P.R. China

2. School of Science, North China University of Science and Technology, Tangshan, P.R. China

Abstract

The boundary element method has been widely applied to a lot of practical problems,such as fluid mechanics and fracture mechanics. As one of the important topics in boundary element method, the numerical calculation of hypersingular integrals is of great importance. This article deals with the composite Hermite rule of the third order hypersingular integrals. Based on the error expansion, the superconvergence result of the composite Hermite formula is obtained. We show that the convergence rate is O(h3) when the local coordinate of the singular point is ? = 0, which is one order higher than the global convergence. The accuracy of the result is verified by several numerical examples.

Publisher

National Library of Serbia

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