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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.
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Dates and versions

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

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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⟩
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