A mixed finite element approach for viscoelastic wave propagation.

Eliane Bécache 1 Abdelaaziz Ezziani 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
Abstract : In this paper, we are interested in the modeling of wave propagation in viscoelastic media. We present a family of models which generalize the Zener's model. We achieve its mathematical analysis: existence and uniqueness of solutions, energy decay and propagation with finite speed. For the numerical resolution, we extend a mixed finite element method proposed in [8]. This method combines mass lumping with a centered explicit scheme for time discretization. For the resulting scheme, we prove a discrete energy decay result and provide a sufficient stability condition. For the numerical simulation in open domains we adapt the perfectly matched layers techniques to viscoelastic waves [23]. Various numerical results are presented.
Type de document :
Article dans une revue
Computational Geosciences, Springer Verlag, 2004, 8 (3), pp.255-299. <10.1007/s10596-005-3772-8>
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Soumis le : vendredi 25 avril 2014 - 15:02:25
Dernière modification le : jeudi 9 février 2017 - 15:28:12

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Eliane Bécache, Abdelaaziz Ezziani, Patrick Joly. A mixed finite element approach for viscoelastic wave propagation.. Computational Geosciences, Springer Verlag, 2004, 8 (3), pp.255-299. <10.1007/s10596-005-3772-8>. <hal-00983573>

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