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nonlinear acoustics

ESAIM: Mathematical Modelling and Numerical Analysis (1)

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A multiplicative Schwarz method and its applicationto nonlinear acoustic-structure interaction
Roland Ernst, Bernd Flemisch, Barbara Wohlmuth
Journal:

ESAIM: Mathematical Modelling and Numerical Analysis / Volume 43 / Issue 3 / May 2009

Published online by Cambridge University Press:

08 April 2009, pp. 487-506

Print publication:

May 2009
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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.