A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction
Ernst, Roland ; Flemisch, Bernd ; Wohlmuth, Barbara
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009), p. 487-506 / Harvested from Numdam
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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.

Publié le : 2009-01-01
DOI : https://doi.org/10.1051/m2an/2009010
Classification:  74F10,  65B99,  65M12 
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     author = {Ernst, Roland and Flemisch, Bernd and Wohlmuth, Barbara},
     title = {A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
     volume = {43},
     year = {2009},
     pages = {487-506},
     doi = {10.1051/m2an/2009010},
     mrnumber = {2536246},
     zbl = {1165.74017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/M2AN_2009__43_3_487_0}
}

Ernst, Roland; Flemisch, Bernd; Wohlmuth, Barbara. A multiplicative Schwarz method and its application to nonlinear acoustic-structure interaction. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 43 (2009) pp. 487-506. doi : 10.1051/m2an/2009010. http://gdmltest.u-ga.fr/item/M2AN_2009__43_3_487_0/

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