An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis
type: Item
instance of: scholarly article
title: An efficient method to evaluate hypersingular and supersingular integrals in boundary integral equations analysis
zbMATH Open document ID: 0940.65139
DOI: 10.1016/S0955-7997(98)00085-X
author: Yanyan Li
published in: Engineering Analysis with Boundary Elements
publication date: 2000-07-10T00:00:00Z
review text: An efficient algorithm is employed to evaluate hyper- and super-singular integral equations encountered in boundary integral equations analysis of engineering problems. The algorithm is based on multiple subtractions and additions to separate singular and regular integral terms in the polar transformation domain. The substractions involve to multiple derivatives of analytical kernels and the additions require some manipulation to separate the remaining regular terms from singular ones. The regular terms are computed numerically. Three examples on numerical evaluation of singular boundary integrals are presented to show the efficiency and accuracy of the algorithm. In this respect, strongly singular and hypersingular integrals of the potential flow problem are considered.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65R30
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 45E10
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 1389926
zbMATH Keywords: hypersingular and supersingular integrals
zbMATH Keywords: boundary integral equations
zbMATH Keywords: polar transformation domain
zbMATH Keywords: algorithm
zbMATH Keywords: numerical examples
reviewed by: Karel Najzar
MaRDI profile type: Publication
cites work: Q3912161
cites work: A regularized boundary integral equation method for elastodynamic crack problems
cites work: Traction BIE solutions for flat cracks
cites work: Direct computation of Cauchy principal value integrals in advanced boundary elements
cites work: A General Algorithm for Multidimensional Cauchy Principal Value Integrals in the Boundary Element Method
cites work: A General Algorithm for the Numerical Solution of Hypersingular Boundary Integral Equations
cites work: The use of simple solutions in the regularization of hypersingular boundary integral equations
cites work: New application of hypersingular equations in the boundary element method
cites work: A Hermite interpolation algorithm for hypersingular boundary integrals
cites work: Hypersingular and finite part integrals in the boundary element method
cites work: Hypersingular boundary integral equations have an additional free term
cites work: A SINGLE-DOMAIN BOUNDARY ELEMENT METHOD FOR 3-D ELASTOSTATIC CRACK ANALYSIS USING CONTINUOUS ELEMENTS
cites work: Q3995755
cites work: Q3993209
full work available at URL: s0955-7997(98)00085-x
OpenAlex ID: W2081018132
description: scientific article; zbMATH DE number 1389926