92 citations · 391 across the 35 of their papers we have counts for
42 papers
Continuous data assimilation for 2D stochastic Navier-Stokes equations
Hakima Bessaih, Benedetta Ferrario, Oussama Landoulsi +1
Continuous data assimilation methods, such as the nudging algorithm introduced by Azouani, Olson, and Titi (AOT) [2], are known to be highly effective in deterministic settings for…
Rate of convergence of a semi-implicit time Euler scheme for a 2D Bénard-Boussinesq model
Hakima Bessaih, Annie Millet
We prove that a semi-implicit time Euler scheme for the two-dimensional Bénard-Boussinesq model on the torus D converges. The rate of convergence in probability is almost 1/2 for a…
Speed of convergence of time Euler schemes for a stochastic 2D Boussinesq model
Hakima Bessaih, Annie Millet
We prove that an implicit time Euler scheme for the 2D-Boussinesq model on the torus converges. Various moment of the -norms of the velocity and temperature, as well a…
Continuous Data Assimilation for Displacement in a Porous Medium
Hakima Bessaih, Victor Ginting, Bradley McCaskill
In this paper we propose the use of a continuous data assimilation algorithm for miscible flow models in a porous medium. In the absence of initial conditions for the model, observ…
Strong L2 convergence of time Euler schemes for stochastic 3D Brinkman-Forchheimer-Navier-Stokes equations
Hakima Bessaih, Annie Millet
We prove that some time Euler schemes for the 3D Navier-Stokes equations modified by adding a Brinkman-Forchheimer term and a random perturbation converge in . This extends…
Strong rates of convergence of space-time discretization schemes for the 2D Navier-Stokes equations with additive noise
Hakima Bessaih, Annie Millet
We consider the strong solution of the 2D Navier-Stokes equations in a torus subject to an additive noise. We implement a fully implicit time numerical scheme and a finite element…