Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement
type: Item
instance of: scholarly article
title: Tolerant qualocation -- a qualocation method for boundary integral equations with reduced regularity requirement
zbMATH Open document ID: 0916.65109
author: K. Appert
published in: Journal of Integral Equations and Applications
publication date: 1999-07-06T00:00:00Z
full work available at URL: Cont10-1.html
review text: The problem discussed is a class of boundary integral equations on the circle. The authors present a collocation method which has the same order of accuracy as the corresponding Petrov-Galerkin method. The increased accuracy over the usual collocation methods is obtained by the use of a more accurate quadrature for the source term. The proofs of the error estimates are based on a careful analysis of the singular part of the integral, with treatment of the rest of the kernel by a perturbation argument.
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65N15
zbMATH DE Number: 1236211
zbMATH Keywords: qualocation method
zbMATH Keywords: boundary integral equations
zbMATH Keywords: collocation method
zbMATH Keywords: Petrov-Galerkin method
zbMATH Keywords: error estimates
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
OpenAlex ID: W2031668753
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DOI: 10.1216/JIEA/1181074209
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description: scientific article; zbMATH DE number 1236211