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

Cyril Agut 1, 2 Julien Diaz 1, 2
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
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.
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Cyril Agut, Julien Diaz. Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation. [Research Report] RR-7494, INRIA. 2010, pp.34. ⟨inria-00547862v2⟩

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