Volume 47, Number 3, May-June 2013
|Page(s)||903 - 932|
|Published online||17 April 2013|
Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation
1 LMAP, University of Pau, INRIA Project-Team Magique-3D, France
2 INRIA Project-Team Magique-3D, LMAP, University of Pau, France
Received: 14 April 2011
Revised: 2 June 2012
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.
Mathematics Subject Classification: 35L05 / 65M12 / 65M60
Key words: Discontinuous Galerkin / penalization coefficient / CFL condition / wave equation
© EDP Sciences, SMAI, 2013
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