A domain decomposition preconditioner for an advection-diffusion problem

Authors
Achdou, Y Le Tallec, P Nataf, F Vidrascu, M
Citation
Y. Achdou et al., A domain decomposition preconditioner for an advection-diffusion problem, COMPUT METH, 184(2-4), 2000, pp. 145-170
Citations number
24
Categorie Soggetti
Mechanical Engineering
Journal title
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
ISSN journal
00457825 → ACNP
Volume
184
Issue
2-4
Year of publication
2000
Pages
145 - 170
Database
ISI
SICI code
0045-7825(2000)184:2-4<145:ADDPFA>2.0.ZU;2-N
Abstract
We propose a generalization of the Neumann-Neumann algorithm for advection- diffusion problems: the Neumann conditions are replaced by suitable Robin c onditions. The method is first introduced and analysed in the case where th e domain is partitioned into vertical strips, then generalized to an arbitr ary decomposition. A coarse space procedure is proposed. Finally, numerical results for bidimensional and tridimensional tests are given. (C) 2000 Els evier Science S.A. All rights reserved.