%0 Journal Article
%T A mixed finite element approach for viscoelastic wave propagation.
%+ Propagation des Ondes : Étude Mathématique et Simulation (POEMS)
%A Bécache, Eliane
%A Ezziani, Abdelaâziz
%A Joly, Patrick
%< avec comité de lecture
%@ 1420-0597
%J Computational Geosciences
%I Springer Verlag
%V 8
%N 3
%P 255-299
%8 2004
%D 2004
%R 10.1007/s10596-005-3772-8Journal articles
%X 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.
%G English
%L hal-00983573
%U https://hal-ensta-paris.archives-ouvertes.fr/hal-00983573
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