278 citations · 3.1k across the 101 of their papers we have counts for
8 papers · 1 filter
Crouzeix-Raviart MsFEM with Bubble Functions for Diffusion and Advection-Diffusion in Perforated Media
Pierre Degond, Alexei Lozinski, Bagus Putra Muljadi +1
The adaptation of Crouzeix - Raviart finite element in the context of multiscale finite element method (MsFEM) is studied and implemented on diffusion and advection-diffusion probl…
Vision-based macroscopic pedestrian models
Pierre Degond, Cécile Appert-Rolland, Julien Pettré +1
We propose a hierarchy of kinetic and macroscopic models for a system consisting of a large number of interacting pedestrians. The basic interaction rules are derived from earlier…
Evolution of the distribution of wealth in an economic environment driven by local Nash equilibria
Pierre Degond, Jian-Guo Liu, Christian Ringhofer
We present and analyze a model for the evolution of the wealth distribution within a heterogeneous economic environment. The model considers a system of rational agents interacting…
Flow on sweeping networks
Pierre Degond, Michael Herty, Jian-Guo Liu
We introduce a cellular automaton model coupled with a transport equation for flows on graphs. The direction of the flow is described by a switching process where the switching pro…
Hydrodynamics of the Kuramoto-Vicsek model of rotating self-propelled particles
Pierre Degond, Giacomo Dimarco, Thi Bich Ngoc Mac
We consider an Individual-Based Model for self-rotating particles interacting through local alignment and investigate its macroscopic limit. This model describes self-propelled par…
Macroscopic models of collective motion and self-organization
Pierre Degond, Amic Frouvelle, Jian-Guo Liu +2
In this paper, we review recent developments on the derivation and properties of macroscopic models of collective motion and self-organization. The starting point is a model of sel…