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A multiplicative Schwarz method and its applicationto nonlinear acoustic-structure interaction

Published online by Cambridge University Press:  08 April 2009

Roland Ernst ,
Bernd Flemisch  and
Barbara Wohlmuth
Roland Ernst
Affiliation:
Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Germany.
Bernd Flemisch
Affiliation:
Institute of Hydraulic Engineering, University of Stuttgart, Germany. bernd@iws.uni-stuttgart.de
Barbara Wohlmuth
Affiliation:
Institute of Applied Analysis and Numerical Simulation, University of Stuttgart, Germany.
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Abstract

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.

Keywords

Schwarz methodfluid-structure interactioncoupled problemsnonlinear elasticitynonlinear acousticselasto-acoustic.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 43 , Issue 3 , May 2009 , pp. 487 - 506
Copyright
© EDP Sciences, SMAI, 2009

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