A convergence theory for an overlapping Schwarz algorithm using discontinuous iterates
type: Item
instance of: scholarly article
title: A convergence theory for an overlapping Schwarz algorithm using discontinuous iterates
zbMATH Open document ID: 1067.65112
author: Jung-Han Kimn
published in: Numerische Mathematik
publication date: 2005-04-14T00:00:00Z
review text: The author proposes a new type of overlapping Schwarz methods, using discontinuous iterates. The proposed algorithm allows for discontinuous iterates across the artificial interfaces. A new theory using Lagrange multipliers is developed and conditions are found for the existence of an almost uniform convergence factor for the dual variables, which implies rapid convergence factor of the primal variables, in the two overlapping subdomanin case. Numerical examples are also presented.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 65N30
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 2156010
zbMATH Keywords: Lagrange multiplier method
zbMATH Keywords: non-matching meshes
zbMATH Keywords: Poisson equation
zbMATH Keywords: overlapping Schwarz methods
zbMATH Keywords: algorithm
zbMATH Keywords: convergence
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
full work available at URL: s00211-004-0572-3
OpenAlex ID: W2039037605
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DOI: 10.1007/S00211-004-0572-3
description: scientific article; zbMATH DE number 2156010