A mixed finite element approach for viscoelastic wave propagation. - Archive ouverte HAL Access content directly
Journal Articles Computational Geosciences Year : 2004

A mixed finite element approach for viscoelastic wave propagation.

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.

Dates and versions

hal-00983573 , version 1 (25-04-2014)

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