Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation
type: Item
instance of: scholarly article
title: Quasi-optimal convergence rates for adaptive boundary element methods with data approximation. I: Weakly-singular integral equation
zbMATH Open document ID: 1314.65161
author: M. Feischl
author: Thomas Führer
author: M. Karkulik
author: Jens Marcus Melenk
author: Dirk Praetorius
published in: Calcolo
publication date: 2015-03-23T00:00:00Z
review text: An adaptive boundary element method for Symm's integral equation is analyzed both in the two- and three-dimensional space. It incorporates the approximation of the Dirichlet data into the adaptive scheme. The authors prove quasi-optimal convergence rates for any \(H^{1/2}\)-stable projection that is used for the data approximation.
reviewed by: Andreas Kleefeld
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 41A25
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 6418689
zbMATH Keywords: boundary element method
zbMATH Keywords: weakly-singular integral equation
zbMATH Keywords: a posteriori error estimate
zbMATH Keywords: adaptive algorithm
zbMATH Keywords: convergence
zbMATH Keywords: optimality
zbMATH Keywords: Symm's integral equation
MaRDI profile type: Publication
full work available at URL: s10092-013-0100-x
OpenAlex ID: W1965398593
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DOI: 10.1007/S10092-013-0100-X
description: scientific article; zbMATH DE number 6418689