A multilevel additive Schwarz method for a hypersingular integral equation on an open curve with graded meshes
type: Item
instance of: scholarly article
title: A multilevel additive Schwarz method for a hypersingular integral equation on an open curve with graded meshes
zbMATH Open document ID: 1180.65176
author: Matthias Maischak
published in: Applied Numerical Mathematics
publication date: 2009-07-02T00:00:00Z
review text: The author applies the additive Schwarz method for solving of integral equations of the first kind for the uniform \(h\)-version of the Galerkin method on an algebraically graded mesh (two-dimensional case is considered). It is proved that the condition number of the preconditioned system grows only polylogarithmically with respect to the number of unknowns. Numerical examples are given.
reviewed by: Josef Kofroň
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 5574600
zbMATH Keywords: additive Schwarz method
zbMATH Keywords: graded meshes
zbMATH Keywords: boundary element method
zbMATH Keywords: hypersingular integral equation
MaRDI profile type: Publication
full work available at URL: j.apnum.2008.12.009
OpenAlex ID: W2030036307
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DOI: 10.1016/J.APNUM.2008.12.009
description: scientific article; zbMATH DE number 5574600