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
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topErnst, 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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