3 papers
math.AP2026
A new Geometric Setting for the Analysis of Partial Differential Equations
Ambroise Soglo, Koffi W. Houédanou, Jamal Adetola +1
In this paper, we introduce a hybrid metric geometry on the space of absolutely continuous probability densities that combines optimal transport (Wasserstein geometry) and log-rati…
math.NA2019
Residual-based a posteriori error estimates for a conforming mixed finite element discretization of the Monge-Ampère equation
Jamal Adetola, Koffi Wilfrid Houedanou, Bernardin Ahounou
In this paper we develop a new a posteriori error analysis for the Monge-Ampère equation approximated by conforming finite element method on isotropic meshes in 2D. The approach ut…
math.NA2017
Residual-based a posteriori error estimates for a conforming finite element discretization of the Navier-Stokes/Darcy coupled problem
Koffi Wilfrid Houedanou, Jamal Adetola, Bernardin Ahounou
We consider in this paper, a new a posteriori residual type error estimator of a conforming mixed finite element method for the coupling of fluid flow with porous media flow on iso…