The numerical computation of hypersingular integrals and its application in BEM
type: Item
instance of: scholarly article
title: The numerical computation of hypersingular integrals and its application in BEM
zbMATH Open document ID: 0806.65016
DOI: 10.1016/0965-9978(94)90004-3
author: Dehao Yu
published in: Advances in Engineering Software
publication date: 1995-02-09T00:00:00Z
review text: The paper reviews some numerical methods for computing hypersingular integrals occurring in the boundary element method (BEM), such as the method using series expansions of the kernel, singularity subtraction, the method by regularization, the indirect method, and Newton-Cotes integration formulas. Using geometric meshes near the singularity, convergence rates are obtained for some generalized trapezoidal and Simpson rules. Numerical results confirm the effectiveness of this approach.
Mathematics Subject Classification ID: 65D32
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 41A55
zbMATH DE Number: 625970
zbMATH Keywords: adaptive mesh
zbMATH Keywords: numerical results
zbMATH Keywords: trapezoidal rule
zbMATH Keywords: hypersingular integrals
zbMATH Keywords: boundary element method
zbMATH Keywords: series expansions
zbMATH Keywords: singularity subtraction
zbMATH Keywords: regularization
zbMATH Keywords: Newton-Cotes integration formulas
zbMATH Keywords: convergence
zbMATH Keywords: Simpson rules
reviewed by: Johannes Elschner
MaRDI profile type: Publication
full work available at URL: 0965-9978(94)90004-3
OpenAlex ID: W2005327080
description: scientific article; zbMATH DE number 625970