88 citations · 137 across the 10 of their papers we have counts for
3 papers · 1 filter
The Hughes model for pedestrian dynamics and congestion modelling
Elisabetta Carlini, Adriano Festa, Francisco J. Silva
In this paper we present a numerical study of some variations of the Hughes model for pedestrian flow under different types of congestion effects. The general model consists of a c…
Proximal methods for stationary Mean Field Games with local couplings
L. M. Briceño-Arias, D. Kalise, F. J. Silva
We address the numerical approximation of Mean Field Games with local couplings. For power-like Hamiltonians, we consider both unconstrained and constrained stationary systems with…
A Semi-Lagrangian scheme for a modified version of the Hughes model for pedestrian flow
Elisabetta Carlini, Adriano Festa, Francisco J. Silva +1
In this paper we present a Semi-Lagrangian scheme for a regularized version of the Hughes model for pedestrian flow. Hughes originally proposed a coupled nonlinear PDE system descr…