Local a-posteriori error indicators for the Galerkin discretization of boundary integral equations
type: Item
instance of: scholarly article
title: Local a-posteriori error indicators for the Galerkin discretization of boundary integral equations
zbMATH Open document ID: 0903.65086
author: B. Faermann
published in: Numerische Mathematik
publication date: 1998-04-26T00:00:00Z
review text: The error indicators of \textit{I. Babuška} and \textit{W. C. Rheinboldt} [SIAM J. Numer. Anal. 15, 736-754 (1978; Zbl 0398.65069)] are transferred from finite element methods onto boundary element methods in the two- and three-dimensional case. It is shown that they are reliable and efficient for a wide class of integral operators under relatively weak assumptions. The proofs contain sophisticated estimates for norms in Sobolev spaces with fractional order.
reviewed by: Andreas Pomp
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N15
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 1145972
zbMATH Keywords: boundary integral equations
zbMATH Keywords: Galerkin method
zbMATH Keywords: error indicators
zbMATH Keywords: boundary element methods
zbMATH Keywords: Sobolev spaces with fractional order
MaRDI profile type: Publication
full work available at URL: s002110050331
OpenAlex ID: W2031358199
DOI: 10.1007/S002110050331
description: scientific article; zbMATH DE number 1145972