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
Available under licence : See the attached licence file.
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'.|
|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:||19 Dec 2006|
|Last Modified:||06 Jun 2014 00:52|