32 citations · 55 across the 7 of their papers we have counts for
8 papers
Analysis and approximation of a vorticity-velocity-pressure formulation for the Oseen equations
Veronica Anaya, Afaf Bouharguane, David Mora +4
We introduce a family of mixed methods and discontinuous Galerkin discretisations designed to numerically solve the Oseen equations written in terms of velocity, vorticity, and Ber…
Finite Element Method for a Space-Fractional Anti-Diffusive Equation
Afaf Bouharguane
The numerical solution of a nonlinear and space-fractional anti-diffusive equation used to model dune morphodynamics is considered. Spatial discretization is effected using a finit…
A Splitting Method for Deep Water with Bathymetry
Afaf Bouharguane, Benjamin Melinand
In this paper we derive and prove the wellposedness of a deep water model that generalizes the Saut-Xu system for nonflat bottoms. Then, we present a new numerical method based on…
Splitting methods for the nonlocal Fowler equation
Afaf Bouharguane, Remi Carles
We consider a nonlocal scalar conservation law proposed by Andrew C. Fowler to describe the dynamics of dunes, and we develop a numerical procedure based on splitting methods to ap…
Global-in-time existence of perturbations around travelling-waves
Afaf Bouharguane
We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove t…
Finite difference approximations for a fractional diffusion/anti-diffusion equation
Pascal Azerad, Afaf Bouharguane
A class of finite difference schemes for solving a fractional anti-diffusive equation, recently proposed by Andrew C. Fowler to describe the dynamics of dunes, is considered. Their…