AN IMPROVED DOMAIN DECOMPOSITION METHOD FOR THE 3D HELMHOLTZ-EQUATION

Authors
PIACENTINI A ROSA N
Citation
A. Piacentini et N. Rosa, AN IMPROVED DOMAIN DECOMPOSITION METHOD FOR THE 3D HELMHOLTZ-EQUATION, Computer methods in applied mechanics and engineering, 162(1-4), 1998, pp. 113-124
Citations number
22
Categorie Soggetti
Computer Science Interdisciplinary Applications",Mechanics,"Engineering, Mechanical","Computer Science Interdisciplinary Applications
Journal title
Computer methods in applied mechanics and engineering → ACNP
ISSN journal
00457825
Volume
162
Issue
1-4
Year of publication
1998
Pages
113 - 124
Database
ISI
SICI code
0045-7825(1998)162:1-4<113:AIDDMF>2.0.ZU;2-1
Abstract
The efficiency of a non-overlapping domain decomposition method is str ictly related to the transmission operator acting at the interfaces be tween subdomains. A new operator, arising from the non-reflecting boun dary conditions theory, and a new iteration scheme lead to a dramatic improvement of the performances of the scheme which was originally pro posed by Bruno Despres and which is recalled in the first part of this paper. The convergence of the new method is proved and some numerical results show the comparison of the performances. (C) 1998 Elsevier Sc ience S.A. All rights reserved.