Article (Scientific journals)
A quasi-optimal non-overlapping domain decomposition method for two-dimensional time-harmonic elastic wave problems
Mattesi, Vanessa; Darbas, M.; Geuzaine, Christophe
2020In Journal of Computational Physics, 401, p. 109050
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Keywords :
Domain decomposition method; High-frequency; Non-overlapping Schwarz method; Scattering
Abstract :
[en] This article presents the construction of a new non-overlapping domain decomposition method (DDM) for two-dimensional elastic scattering problems. The method relies on a high-order Transmission Boundary Condition (TBC) between sub-domains, which accurately approximates the exact Dirichlet-to-Neumann map. First, we explain the derivation of this new TBC in the context of a non-overlapping DDM. Next, a mode-by-mode convergence study for a model problem is presented, which shows the new method to be quasi-optimal, i.e. with an optimal convergence rate for evanescent modes and an improved convergence rate for the other modes compared to the standard low-order Lysmer-Kuhlemeyer TBC. Finally, the effectiveness of the new DDM is demonstrated in a finite element context by analyzing the behavior of the method on high-frequency elastodynamic simulations. © 2019
Disciplines :
Computer science
Physics
Author, co-author :
Mattesi, Vanessa ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Darbas, M.;  LAMFA, University of Picardie Jules Verne, Amiens, France
Geuzaine, Christophe  ;  Université de Liège - ULiège > Dép. d'électric., électron. et informat. (Inst.Montefiore) > Applied and Computational Electromagnetics (ACE)
Language :
English
Title :
A quasi-optimal non-overlapping domain decomposition method for two-dimensional time-harmonic elastic wave problems
Publication date :
2020
Journal title :
Journal of Computational Physics
ISSN :
0021-9991
eISSN :
1090-2716
Publisher :
Elsevier, Atlanta, Georgia
Volume :
401
Pages :
109050
Peer reviewed :
Peer Reviewed verified by ORBi
Tags :
CÉCI : Consortium des Équipements de Calcul Intensif
Funders :
WAVES 15/19-03
CÉCI - Consortium des Équipements de Calcul Intensif [BE]
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