TDG method for Friedrichs systems and the P N model in 2D

Christophe Buet (1) , Bruno Després (2) , Guillaume Morel (3)

1 DSSI - Département des Sciences de la Simulation et de l'Information
2 LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
3 MINGUS - Multi-scale numerical geometric schemes

The recent advances about the construction of a Trefftz Discontinuous Galerkin (TDG) method to a class of Friedrichs systems coming from linear transport with relaxation are presented in a comprehensive setting. Application to the 2D P N model are discussed , together with the derivation of new high order convergence estimates and new numerical results for the P 1 and P 3 models. More numerical results in dimension 2 illustrate the theoretical properties.

Domaines: Analyse numérique [math.NA]

Christophe Buet, Bruno Després, Guillaume Morel. TDG method for Friedrichs systems and the P N model in 2D. 2019. ⟨hal-02372279v1⟩