3 papers
math.NA2025
Reduced Particle in Cell method for the Vlasov-Poisson system using auto-encoder and Hamiltonian neural
Emmanuel Franck, Laurent Navoret, Vincent Vigon +2
Hamiltonian particle-based simulations of plasma dynamics are inherently computationally intensive, primarily due to the large number of particles required to obtain accurate solut…
math.OC2023
Optimal scenario for road evacuation in an urban environment
Mickael Bestard, Emmanuel Franck, Laurent Navoret +1
How to free a road from vehicle traffic as efficiently as possible and in a given time, in order to allow for example the passage of emergency vehicles? We are interested in this q…
math.NA2023
An optimal control deep learning method to design artificial viscosities for Discontinuous Galerkin schemes
L éo Bois, Emmanuel Franck, Laurent Navoret +1
In this paper, we propose a method for constructing a neural network viscosity in order to reduce the non-physical oscillations generated by high-order Discontiuous Galerkin (DG) m…