Oct 8 – 11, 2024
Aussois
Europe/Paris timezone

Organizing Committee: Frédérique Charles, Bruno Despres, Francis Filbet

Discontinuous Galerkin methods and basis enrichment using neural networks

Oct 11, 2024, 9:50 AM
45m
Aussois

Aussois

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

Speaker

Mr 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).

Presentation materials

There are no materials yet.