A posteriori boundary element error estimation
type: Item
instance of: scholarly article
title: A posteriori boundary element error estimation
zbMATH Open document ID: 0939.65119
DOI: 10.1016/S0377-0427(99)00049-7
author: Jang Jou
author: Jinn-Liang Liu
published in: Journal of Computational and Applied Mathematics
publication date: 2000-06-19T00:00:00Z
review text: The possibility to justify the effectiveness of adaptive numerical methods for boundary integral equations by an a posteriori error estimator is discussed. A general variational problem in Sobolev spaces is considered. An a posteriori two-sided estimate for the error of the Galerkin approximation is found. Symm's and hypersingular integral equations are considered as model problems. These equations are equivalent to Dirichlet and Neumann problems for the Laplace equation. Some numerical examples are presented.
reviewed by: Nikolai Pleshchinskii
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45E10
zbMATH DE Number: 1334645
zbMATH Keywords: boundary integral equation
zbMATH Keywords: a posteriori error estimate
zbMATH Keywords: Galerkin metod
zbMATH Keywords: Symm's integral equation
zbMATH Keywords: Dirichlet problem
zbMATH Keywords: hypersingular integral equations
zbMATH Keywords: Neumann problems
zbMATH Keywords: Laplace equation
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
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full work available at URL: s0377-0427(99)00049-7
OpenAlex ID: W2061142604
description: scientific article; zbMATH DE number 1334645