| Issue |
ESAIM: M2AN
Volume 43, Number 3, May-June 2009
|
|
|---|---|---|
| Page(s) | 487 - 506 | |
| DOI | https://doi.org/10.1051/m2an/2009010 | |
| Published online | 08 April 2009 | |
A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction
1
Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Germany.
2
Institute of Hydraulic Engineering, University of Stuttgart, Germany. bernd@iws.uni-stuttgart.de
Received:
20
November
2007
Revised:
14
August
2008
A new Schwarz method for nonlinear systems is presented, constituting the multiplicative variant of a straightforward additive scheme. Local convergence can be guaranteed under suitable assumptions. The scheme is applied to nonlinear acoustic-structure interaction problems. Numerical examples validate the theoretical results. Further improvements are discussed by means of introducing overlapping subdomains and employing an inexact strategy for the local solvers.
Mathematics Subject Classification: 74F10 / 65B99 / 65M12
Key words: Schwarz method / fluid-structure interaction / coupled problems / nonlinear elasticity / nonlinear acoustics / elasto-acoustic.
© EDP Sciences, SMAI, 2009
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