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Titre : |
A mixed finite element approach for viscoelastic wave propagation. |
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Année : |
2004 |
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Type : |
article (revue avec comité de lecture) |
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Auteurs : |
É. Bécache, A. Ezziani, P. Joly |
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Résumé : |
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. |
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Thèmes : |
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Référence : |
Computational Geosciences - vol. 8(3) (pp 255-299 ) |
