Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions
type: Item
instance of: scholarly article
title: Overlapping Schwarz waveform relaxation for the heat equation in \(n\) dimensions
zbMATH Open document ID: 1022.65112
DOI: 10.1023/A:1021900403785
author: Martin J. Gander
author: Hongkai Zhao
published in: BIT
publication date: 2003-10-20T00:00:00Z
review text: The authors analyze overlapping Schwarz waveform relaxation for the heat equations in general dimensions. The linear convergence of the algorithm on unbounded time intervals and superlinear convergence on bounded time intervals are proved. In both cases the convergence rates depend on the size of the overlap. The linear convergence result depends also on the number of subdomains. On the other hand the superlinear convergence result is independent of the number of subdomains. The presented numerical experiments confirm the analysis.
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 1876911
zbMATH Keywords: domain decomposition
zbMATH Keywords: heat equations
zbMATH Keywords: overlapping Schwarz waveform relaxation
zbMATH Keywords: superlinear convergence
zbMATH Keywords: algorithm
zbMATH Keywords: numerical experiments
reviewed by: Vit Dolejsi
MaRDI profile type: Publication
full work available at URL: a:1021900403785
OpenAlex ID: W1535819777
description: scientific article; zbMATH DE number 1876911