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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