A SCHWARZ ALTERNATING PROCEDURE FOR SINGULAR PERTURBATION PROBLEMS

Authors
GARBEY M
Citation
M. Garbey, A SCHWARZ ALTERNATING PROCEDURE FOR SINGULAR PERTURBATION PROBLEMS, SIAM journal on scientific computing, 17(5), 1996, pp. 1175-1201
Citations number
32
Categorie Soggetti
Computer Sciences",Mathematics
Journal title
SIAM journal on scientific computing → ACNP
ISSN journal
10648275
Volume
17
Issue
5
Year of publication
1996
Pages
1175 - 1201
Database
ISI
SICI code
1064-8275(1996)17:5<1175:ASAPFS>2.0.ZU;2-J
Abstract
We show that the Schwarz alternating procedure offers a good algorithm for the numerical solution of singular perturbation problems, provide d the domain decomposition is properly designed to resolve the boundar y and transition layers. We give sharp estimates for the optimal posit ion of the domain boundaries and study the convergence rates of the al gorithm for various linear second-order singular perturbation problems . We report on implementation results for a turning-point problem and a combustion problem.