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…
astro-ph.SR2023
Modelling solar coronal magnetic fields with physics-informed neural networks
Hubert Baty, Vincent Vigon
We present a novel numerical approach aiming at computing equilibria and dynamics structures of magnetized plasmas in coronal environments. A technique based on the use of neural n…
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…