A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction

Roland Ernst; Bernd Flemisch; Barbara Wohlmuth

ESAIM: Mathematical Modelling and Numerical Analysis (2009)

  • Volume: 43, Issue: 3, page 487-506
  • ISSN: 0764-583X

Abstract

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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.

How to cite

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Ernst, Roland, Flemisch, Bernd, and Wohlmuth, Barbara. "A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction." ESAIM: Mathematical Modelling and Numerical Analysis 43.3 (2009): 487-506. <http://eudml.org/doc/250602>.

@article{Ernst2009,
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. },
author = {Ernst, Roland, Flemisch, Bernd, Wohlmuth, Barbara},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Schwarz method; fluid-structure interaction; coupled problems; nonlinear elasticity; nonlinear acoustics; elasto-acoustic.; straightforward additive scheme; convergence; overlapping subdomains},
language = {eng},
month = {4},
number = {3},
pages = {487-506},
publisher = {EDP Sciences},
title = {A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction},
url = {http://eudml.org/doc/250602},
volume = {43},
year = {2009},
}

TY - JOUR
AU - Ernst, Roland
AU - Flemisch, Bernd
AU - Wohlmuth, Barbara
TI - A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2009/4//
PB - EDP Sciences
VL - 43
IS - 3
SP - 487
EP - 506
AB - 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.
LA - eng
KW - Schwarz method; fluid-structure interaction; coupled problems; nonlinear elasticity; nonlinear acoustics; elasto-acoustic.; straightforward additive scheme; convergence; overlapping subdomains
UR - http://eudml.org/doc/250602
ER -

References

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