AILU for Helmholtz problems: a new preconditioner based on an analytic factorization

Authors
Gander, M Nataf, F
Citation
M. Gander et F. Nataf, AILU for Helmholtz problems: a new preconditioner based on an analytic factorization, CR AC S I, 331(3), 2000, pp. 261-266
Citations number
14
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
331
Issue
3
Year of publication
2000
Pages
261 - 266
Database
ISI
SICI code
0764-4442(20000801)331:3<261:AFHPAN>2.0.ZU;2-U
Abstract
We investigate a new type of preconditioner which is based on the analytic factorization of the operator into two parabolic factors. Approximate analy tic factorizations lead to new block ILU preconditioners. We analyze the pr econditioner at the continuous level where it is possible to optimize its p erformance. Numerical experiments illustrate the effectiveness of the new a pproach. (C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.