8–11 oct. 2024
Aussois
Fuseau horaire Europe/Paris

Discontinuous Galerkin methods and basis enrichment using neural networks

11 oct. 2024, 09:50
45m
Aussois

Aussois

Centre de Vacances CAES du CNRS Paul Langevin, 24 Rue du Coin, 73500 Aussois

Orateur

M. Laurent Navoret

Description

The Discontinuous Galerkin method is a high-order accurate numerical scheme to solve hyperbolic systems. In this talk, we will present a strategy to take advantage of the recent development of neural networks to enhance the method's precision around a parametric family of equilibria. The method is based on introducing a prior solution inside the basis, which can be estimated using Physic Informed Neural Networks (PINNs).

Documents de présentation

Aucun document.