Unconditionally stable and parallel Discontinuous Galerkin solver - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Computers & Mathematics with Applications Year : 2022

Unconditionally stable and parallel Discontinuous Galerkin solver


We describe a parallel and quasi-explicit Discontinuous Galerkin (DG) kinetic scheme for solving systems of balance laws. The solver is unconditionally stable (i.e., the CFL number can be arbitrary) and has the complexity of an explicit scheme. It can be applied to any hyperbolic system of balance laws, see [Aregba-Driollet & Natalini, 2000; Coulette, Franck, Helluy, Mehrenberger & Navoret, 2019]. In this work, we assess the performance of the scheme in the particular cases of the three-dimensional wave equation and of Maxwell's equations. We measure the benefit of the unconditional stability by performing experiments with very large CFL numbers. In addition, the parallel possibilities of the method are investigated.
Fichier principal
Vignette du fichier
dg_cfl_less.pdf (6.12 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-03218086 , version 1 (05-05-2021)
hal-03218086 , version 2 (30-08-2021)
hal-03218086 , version 3 (15-03-2022)



Pierre Gerhard, Philippe Helluy, Victor Michel-Dansac. Unconditionally stable and parallel Discontinuous Galerkin solver. Computers & Mathematics with Applications, 2022, 112, pp.116-137. ⟨10.1016/j.camwa.2022.02.015⟩. ⟨hal-03218086v3⟩
989 View
284 Download



Gmail Mastodon Facebook X LinkedIn More