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Parallel application of a novel domain decomposition preconditioner for the stable finite element solution of three-dimensional convection-dominated PDEs

Jimack, P.K. and Nadeem, S.A. (2001) Parallel application of a novel domain decomposition preconditioner for the stable finite element solution of three-dimensional convection-dominated PDEs. In: Sakellariou, R., Keane, J., Gurd, J. and Freeman, L., (eds.) Euro-Par 2001: Parallel Processing: 7th International Euro-Par Conference Manchester, UK August 28-31, 2001, Proceedings. Lecture Notes in Computer Science (2150). Springer , Berlin , pp. 592-601. ISBN 3540424954

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Abstract

We describe and analyze the parallel implementation of a novel domain decomposition preconditioner for the fast iterative solution of linear systems of algebraic equations arising from the discretization of elliptic partial differential equations (PDEs) in three dimensions. In previous theoretical work, [4], this preconditioner has been proved to be optimal for symmetric positive-definite (SPD) linear systems. In this paper we provide details of our 3-d parallel implementation and demonstrate that the technique may be generalized to the solution of non-symmetric algebraic systems, such as those arising when convection-diffusion problems are discretized using either Galerkin or stabilized finite element methods (FEMs), [11].

Item Type: Book Section
Copyright, Publisher and Additional Information: Copyright © 2001 Springer-Verlag Berlin Heidelberg. This is an author produced version of a chapter published in 'Euro-Par 2001: Parallel Processing: 7th International Euro-Par Conference Manchester, UK August 28-31, 2001, Proceedings.'
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Repository Officer
Date Deposited: 20 Dec 2006
Last Modified: 06 Jun 2014 00:24
Published Version: http://www.springerlink.com/content/03q85m09hln1c4...
Status: Published
Publisher: Springer
Refereed: No
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1868

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