Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles ESAIM: Mathematical Modelling and Numerical Analysis Year : 2013

Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation

Abstract

We consider here the Interior Penalty Discontinuous Galerkin (IPDG) discretization of the wave equation. We show how to derive the optimal penalization parameter involved in this method in the case of regular meshes. Moreover, we provide necessary stability conditions of the global scheme when IPDG is coupled with the classical Leap-Frog scheme for the time discretization. Numerical experiments illustrate the fact that these conditions are also sufficient.
Fichier principal
Vignette du fichier
agut_diaz.pdf (707.14 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00759457 , version 1 (21-11-2014)

Identifiers

Cite

Cyril Agut, Julien Diaz. Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation. ESAIM: Mathematical Modelling and Numerical Analysis, 2013, 47 (3), pp.903-932. ⟨10.1051/m2an/2012061⟩. ⟨hal-00759457⟩
125 View
258 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More