Jimack, P.K. and Nadeem, S.A. (2002) A parallel domain decomposition algorithm for the adaptive finite element solution of 3-D convection-diffusion problems. In: Sloot, P.M.A., Tan, C.J.K., Dongarra, J.J. and Hoekstra, A.G., (eds.) Computational science - ICCS 2002 : international conference, Amsterdam, The Netherlands, April 21-24, 2002 : proceedings. Lecture Notes in Computer Science, 2 (2330). Springer , Berlin , pp. 797-805. ISBN 354043593X
Available under licence : See the attached licence file.
In this paper we extend our previous work on the use of domain decomposition (DD) preconditioning for the parallel finite element (FE) solution of three-dimensional elliptic problems [3,6] and convection-dominated problems [7,8] to include the use of local mesh refinement. The preconditioner that we use is based upon a hierarchical finite element mesh that is partitioned at the coarsest level. The individual subdomain problems are then solved on meshes that have a single layer of overlap at each level of refinement in the mesh. Results are presented to demonstrate that this preconditioner leads to iteration counts that appear to be independent of the level of refinement in the final mesh,even in the case where this refinement is local in nature: as produced by an adaptive finite element solver for example.
|Item Type:||Book Section|
|Copyright, Publisher and Additional Information:||Copyright © 2002 Springer-Verlag Berlin Heidelberg. This is an author produced version of a chapter published in Computational science - ICCS 2002 : international conference, Amsterdam, The Netherlands, April 21-24, 2002 : proceedings'.|
|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:||20 Dec 2006|
|Last Modified:||15 Jun 2014 07:09|