3 papers
math.NA2023
Convergent approaches for the Dirichlet Monge ampère problem
Hajri Imen, Fethi Ben Belgacem
In this article, we introduce and study three numerical methods for the Dirichlet Monge Ampère equation in two dimensions. The approaches consist in considering new equivalent prob…
math.AP2017
Optimisation approach for the Monge-Ampere equation
Fethi Ben Belgacem
This paper studies the numerical approximation of solution of the Dirichlet problem for the fully nonlinear Monge-Ampere equation. In this approach, we take the advantage of reform…
math.NA2017
Hydrodynamic limit of the Boltzmann-Monge-Ampere system
Fethi Ben Belgacem
In this paper we investigate the hydrodynamic limit of the Boltzmann-Monge-Ampere system in the so-called quasineutral regime. We prove the convergence of the Boltzmann-Monge-Amper…