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A mixed finite element approach for a factional viscoelastic wave propagation in-time-domain

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Abstract

In this paper, we present a numerical approximation of fractional order viscoelastic wave equation in the 2D case. These viscoelastic models are shown to be effective in modeling wave attenuation, in particular the Q-factor approximation, when previously shown in our work [1]. The novelty of this study is the numerical simulation of the propagation of viscoelastic waves with the fractional Zener model in the space-time domain, moreover, we use real data. For the numerical resolution, we used a mixed finite element method. This method combines the mass lum** with centered explicit scheme for time discretization. For the resulting scheme, we prove a discrete energy decay result and provide a sufficient stability condition. Various numerical results are presented for the model.

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Authors and Affiliations

  1. Laboratory LMAI, ENS, Hassan II University of, Casablanca, Morocco

    M. Ait Ichou

  2. Laboratory MAEGE, FSJES AebaHassan II University, Casablanca, Morocco

    M. Ait Ichou & A. Ezziani

Authors
  1. M. Ait Ichou
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  2. A. Ezziani
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Correspondence to M. Ait Ichou.

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Communicated by K Sandeep.

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Ichou, M.A., Ezziani, A. A mixed finite element approach for a factional viscoelastic wave propagation in-time-domain. Indian J Pure Appl Math (2023). https://doi.org/10.1007/s13226-023-00461-8

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