15 citations · 38 across the 10 of their papers we have counts for
6 papers · 1 filter
On the square-root approximation finite volume scheme for nonlinear drift-diffusion equations
Clément Cancès, Juliette Venel
We study a finite volume scheme for the approximation of the solution to convection diffusion equations with nonlinear convection and Robin boundary conditions. The scheme builds o…
Handling congestion in crowd motion modeling
B. Maury, A. Roudneff-Chupin, F. Santambrogio +1
We address here the issue of congestion in the modeling of crowd motion, in the non-smooth framework: contacts between people are not anticipated and avoided, they actually occur,…
A posteriori error estimates for a finite element approximation of transmission problems with sign changing coefficients
Serge Nicaise, Juliette Venel
We perform the a posteriori error analysis of residual type of a transmission problem with sign changing coefficients. According to [6] if the contrast is large enough, the continu…
Convergence order of a numerical scheme for sweeping process
Frederic Bernicot, Juliette Venel
In a previous paper, an implementable algorithm was introduced to compute discrete solutions of sweeping processes (i.e. specific first order differential inclusions). The converge…
Numerical scheme for a whole class of sweeping process
Juliette Venel
The aim of this paper is to study a whole class of first order differential inclusions, which fit into the framework of perturbed sweeping process by uniformly prox-regular sets. A…
A discrete contact model for crowd motion
Bertrand Maury, Juliette Venel
The aim of this paper is to develop a crowd motion model designed to handle highly packed situations. The model we propose rests on two principles: We first define a spontaneous ve…