Convergence and optimization of the parallel method of simultaneous directions for the solution of elliptic problems
type: Item
instance of: scholarly article
title: Convergence and optimization of the parallel method of simultaneous directions for the solution of elliptic problems
zbMATH Open document ID: 1156.65092
published in: Journal of Computational and Applied Mathematics
publication date: 2008-11-18T00:00:00Z
review text: The authors perform a detailed analysis of the convergence and optimization of parallel fractional step methods and simultaneous directions methods for elliptic problems. They describe the behavior of the method and specify the good choice of the parameters. Also, they study the efficiency of the parallelization. The theoretical results are confirmed with some 2D, 3D and higher dimensional test problems.
reviewed by: Srinivasan Natesan
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N22
Mathematics Subject Classification ID: 65F10
Mathematics Subject Classification ID: 65Y05
Mathematics Subject Classification ID: 35J25
zbMATH DE Number: 5368382
zbMATH Keywords: parallel algorithm
zbMATH Keywords: splitting methods
zbMATH Keywords: alternate directions
zbMATH Keywords: simultaneous directions
zbMATH Keywords: elliptic partial differential equations
zbMATH Keywords: numerical examples
zbMATH Keywords: convergence
author: José R. Galo Sánchez
author: Isidoro I. Albarreal Núñez
author: M. Carmen Calzada Canalejo
author: José Luis Cruz Soto
author: Enrique Fernández-Cara
author: Mercedes Marín
MaRDI profile type: Publication
full work available at URL: j.cam.2007.11.013
OpenAlex ID: W1993101124
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DOI: 10.1016/J.CAM.2007.11.013
description: scientific article; zbMATH DE number 5368382