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

Cyril Agut; Julien Diaz

inria-00547862, version 2

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

Cyril Agut () ^1, 2, Julien Diaz () ^1, 2

N° RR-7494 (2010)

Abstract: We show how to derive analytically the optimal value of the penalization parameter and we give the analytical expression of the CFL condition of the scheme. We restrict ourselves to the case of basis function from degree 1 to 5 but the study can be extended to higher polynomial degrees.

1: Laboratoire de Mathématiques et de leurs Applications de Pau (LMA-PAU)
CNRS : UMR5142 – Université de Pau et des Pays de l'Adour [UPPA]
2: MAGIQUE-3D (INRIA Bordeaux - Sud-Ouest)
INRIA – CNRS – Université de Pau et des Pays de l'Adour [UPPA]

inria-00547862, version 2
http://hal.inria.fr/inria-00547862
oai:hal.inria.fr:inria-00547862
From: Cyril Agut <>
Submitted on: Saturday, 18 December 2010 13:23:16
Updated on: Monday, 20 December 2010 09:20:27

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