Boundary-type quadrature and boundary element method
type: Item
instance of: scholarly article
title: Boundary-type quadrature and boundary element method
zbMATH Open document ID: 1021.65060
DOI: 10.1016/S0377-0427(02)00890-7
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 2003-06-17T00:00:00Z
review text: The authors use some special quadrature formulas with all their evaluation points lying on the boundary of the integration domains (boundary-type quadrature) in order to obtain a boundary element scheme. By this scheme they solve numerically an exterior problem for the Helmholtz equation. It is not very clear what is the relation of this scheme with the other well known boundary element methods. Moreover, there is a regrettable inadvertence in this paper. Some authors (Sadowski [18], Levin [16, 17], Fedorenko [3] and Ionescu [14]) are effectively quoted on page 19. Unfortunately, they do not appear in the list of references.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 1929369
zbMATH Keywords: quadrature
zbMATH Keywords: boundary element method
zbMATH Keywords: hypersingular integrals
zbMATH Keywords: weakly singular integrals
zbMATH Keywords: spline approximation
zbMATH Keywords: spline wavelet approximation
zbMATH Keywords: exterior Helmholtz problem
zbMATH Keywords: quadrature formulas
reviewed by: Calin Ioan Gheorghiu
MaRDI profile type: Publication
cites work: Q3965703
cites work: Q3726031
cites work: Q3219912
cites work: Q4003151
cites work: Ten Lectures on Wavelets
cites work: Ignoring the Singularity in Approximate Integration
cites work: Q5533688
cites work: Quadrature formulae
cites work: Q4259915
cites work: Short time Fourier transform, integral wavelet transform, and wavelet functions associated with splines
cites work: Boundary quadrature formulas and their applications
cites work: Q2716349
cites work: A Galerkin collocation method for some integral equations of the first kind
cites work: Some applications of a galerkin‐collocation method for boundary integral equations of the first kind
cites work: On a method for expanding multiple integrals in terms of integrals in lower dimensions
cites work: Replacing a double integral with a single integral
cites work: Q3996824
cites work: Q4158394
cites work: Q4888818
cites work: Q4728173
cites work: Q3713539
cites work: Q3768322
cites work: Q3734967
description: scientific article; zbMATH DE number 1929369