Domain decomposition method for parabolic problems with Neumann conditions
type: Item
instance of: scholarly article
title: Domain decomposition method for parabolic problems with Neumann conditions
zbMATH Open document ID: 1116.65111
author: Younbae Jun
author: Tsun-Zee Mai
published in: Applied Mathematics and Computation
publication date: 2007-01-11T00:00:00Z
review text: Domain decomposition is a parallel algorithm to speed up the computations for solving partial differential equations. In this paper the authors consider a second order parabolic equation in two space dimensions on a Cartesian grid on the unit square. Both Dirichlet, Neumann and mixed boundary conditions are considered. The computational domain is divided into the same number of strips as the number of processes which will be used for the parallel computation. Within each strip a fully implicit scheme is used (BTCS, backward time central space). On the interfaces between the strips the \textit{modified implicit prediction} (MIP, a technique derived by the authors in a previous paper for Dirichlet boundary conditions) is used. In the test section of the paper the authors compare the spectral radii, the number of iterations and the speed up when the problem is solved with different numbers of processors.
reviewed by: Stefan Jakobsson
Mathematics Subject Classification ID: 65M55
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 65Y05
zbMATH DE Number: 5115438
zbMATH Keywords: domain decomposition method
zbMATH Keywords: parabolic problem
zbMATH Keywords: Neumann problem
zbMATH Keywords: numerical examples
zbMATH Keywords: parallel algorithm
zbMATH Keywords: modified implicit prediction
MaRDI profile type: Publication
full work available at URL: j.amc.2006.06.008
OpenAlex ID: W2012439474
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DOI: 10.1016/J.AMC.2006.06.008
description: scientific article; zbMATH DE number 5115438