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: Wilders, P., Ecer, A., Periaux, J., Satofuka, N. and Fox, P., (eds.)
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
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.
Metadata
Item Type:
Book Section
Authors/Creators:
Jimack, P.K.
Nadeem, S.A.
Editors:
Wilders, P.
Ecer, A.
Periaux, J.
Satofuka, N.
Fox, P.
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'.
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