Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 499
A mixed finite element approach for factional viscoelastic wave propagation in-time- domain
Mohamed Ait Ichou, Abdelaaziz Ezziani
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 04, 2022
March 03, 2410
April 15, 2410

Abstract: In this paper, we consider a fractional-order viscoelastic wave described by the Caputo fractional derivative[1,2]. These viscoelastic models are shown to be effective in modeling the attenuation of waves, especially the approximation of quality factor Q [3]. This study focuses on the numerical modeling of wave propagation in viscoelastic media with a fractional Zener model. We present a family of models which generalize Zener’s model. For the numerical resolution, we extend a mixed finite element method proposed in [4]. This method combines mass lumping with a centered ...