36 citations · 121 across the 19 of their papers we have counts for
23 papers
Numerical analysis of a finite volume method for a 1-D wave equation with non smooth wave speed and localized Kelvin-Voigt damping
Stéphane Gerbi, Rayan Nasser, Ali Wehbe
In this paper, we study the numerical solution of an elastic/viscoelastic wave equation with non smooth wave speed and internal localized distributed Kelvin-Voigt damping acting fa…
Numerical stabilization method by switching time-delay
Kaïs Ammari, Stéphane Gerbi
In this paper, we propose a new numerical strategy for the stabilization of evolution systems. The method is based on the methodology given by Ammari, Nicaise andPignotti in ''Stab…
Stability for an interface transmission problem of wave-plate equations with dynamical boundary controls
Zahraa Abdallah, Stéphane Gerbi, Chiraz Kassem +1
We investigate a two-dimensional transmission model consisting of a wave equation and a Kirchhoff plate equation with dynamical boundary controls under geometric conditions. The tw…
A new class of higher-ordered/extended Boussinesq system for efficient numerical simulations by splitting operators
Ralph Lteif, Stéphane Gerbi
In this work, we numerically study the higher-ordered/extended Boussinesq system describing the propagation of water-waves over flat topography. A reformulation of the same order o…
Mathematical modeling and numerical analysis for the higher order Boussinesq system
Bashar Bhorbatly, Ralph Lteif, Samer Israwi +1
This study deals with higher-ordered asymptotic equations for the water-waves problem. We considered the higher-order/extended Boussinesq equations over a flat bottom topography in…
Numerical study of the stabilization of 1D locally coupled wave equations
Stéphane Gerbi, Chiraz Kassem, Amina Mortada +1
In this paper, we study the numerical stabilization of a 1D system of two wave equations coupled by velocities with an internal, local control acting on only one equation. In the t…