A semi-Lagrangian discontinuous Galerkin convergence

Christophe Steiner (1) , Michel Mehrenberger (1, 2) , Daniel Bouche (3)

1 IRMA - Institut de Recherche Mathématique Avancée
2 CALVI - Scientific computation and visualization
3 CMLA - Centre de Mathématiques et de Leurs Applications

We show a superconvergence property for the Semi-Lagrangian Discontinuous Galerkin scheme of arbitrary degree in the case of constant linear advection equation with periodic boundary conditions.

Mots clés: discontinuous Galerkin method; semi-Lagrangian; superconvergence; vectorial Fourier

Domaines: Analyse numérique [math.NA]

Christophe Steiner, Michel Mehrenberger, Daniel Bouche. A semi-Lagrangian discontinuous Galerkin convergence. 2013. ⟨hal-00852411⟩