A weakly overlapping parallel domain decomposition preconditioner for the finite element solution of convection-dominated problems in three dimensions

Jimack, P.K. and Nadeem, S.A. (2002) A weakly overlapping parallel domain decomposition preconditioner for the finite element solution of convection-dominated problems in three dimensions. In: Parallel Computational Fluid Dynamics 2001, Practice and Theory : Proceedings of the Parallel CFD 2001 Conference, Egmond aan Zee, The Netherlands, May 21-23, 2001. Elsevier , pp. 191-198. ISBN 0444506721

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Abstract

In this paper we describe the parallel application of a novel two level additive Schwarz preconditioner to the stable finite element solution of convection-dominated problems in three dimensions. This is a generalization of earlier work, [2,6], in 2-d and 3-d respectively. An algebraic formulation of the preconditioner is presented and the key issues associated with its parallel implementation are discussed. Some computational results are also included which demonstrate empirically the optimality of the preconditioner and its potential for parallel implementation.

Item Type:	Book Section
Copyright, Publisher and Additional Information:	This is an author produced version of a chapter published in Parallel Computational Fluid Dynamics 2001, Practice and Theory : Proceedings of the Parallel CFD 2001 Conference, Egmond aan Zee, The Netherlands, May 21-23, 2001'.
Academic Units:	The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User:	Repository Officer
Date Deposited:	19 Dec 2006
Last Modified:	08 Feb 2013 17:06
Published Version:	http://www.elsevier.com/wps/find/bookdescription.c...
Status:	Published
Publisher:	Elsevier
Refereed:	Yes
Related URLs:	http://www.comp.leeds.ac.uk/pkj/publicat...
URI:	http://eprints.whiterose.ac.uk/id/eprint/1866

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