A mixed finite element approach for viscoelastic wave propagation.

2004
Publication type:
Paper in peer-reviewed journals
Journal:
Computational Geosciences, vol. 8(3), pp. 255-299
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.
BibTeX:
@article{Bec-Ezz-Jol-2004,
    author={Éliane Bécache and Abdelaaziz Ezziani and Patrick Joly },
    title={A mixed finite element approach for viscoelastic wave 
           propagation. },
    doi={10.1007/s10596-005-3772-8 },
    journal={Computational Geosciences },
    year={2004 },
    volume={8(3) },
    pages={255--299},
}