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Parallel implementation of an optimal two level additive Schwarz preconditioner for the 3-D finite element solution of elliptic partial differential equations

Nadeem, S.A. and Jimack, P.K. (2002) Parallel implementation of an optimal two level additive Schwarz preconditioner for the 3-D finite element solution of elliptic partial differential equations. International Journal for Numerical Methods in Fluids, 40 (12). pp. 1571-1579. ISSN 0271-2091

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Abstract

This paper presents a description of the extension and parallel implementation of a new two level additive Schwarz (AS) preconditioner for the solution of 3-D elliptic partial differential equations (PDEs). This preconditioner, introduced in Bank et al. (SIAM J. Sci. Comput. 2002; 23: 1818), is based upon the use of a novel form of overlap between the subdomains which makes use of a hierarchy of meshes: with just a single layer of overlapping elements at each level of the hierarchy. The generalization considered here is based upon the restricted AS approach reported in (SIAM J. Sci. Comput. 1999; 21: 792) and the parallel implementation is an extension of work in two dimensions (Concurrency Comput. Practice Experience 2001; 13: 327).

Item Type: Article
Copyright, Publisher and Additional Information: © 2002 John Wiley & Sons, Ltd. This is an author produced version of a paper published in 'International Journal for Numerical Methods in Fluids'
Academic Units: The University of Leeds > Faculty of Engineering (Leeds) > School of Computing (Leeds)
Depositing User: Repository Assistant
Date Deposited: 21 Nov 2006
Last Modified: 08 Feb 2013 17:03
Published Version: http://dx.doi.org/10.1002/fld.413
Status: Published
Publisher: John Wiley & Sons, Ltd.
Refereed: Yes
Identification Number: 10.1002/fld.413
Related URLs:
URI: http://eprints.whiterose.ac.uk/id/eprint/1734

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