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

- Volume: 47, Issue: 3, page 903-932
- ISSN: 0764-583X

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topAgut, Cyril, and Diaz, Julien. "Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 47.3 (2013): 903-932. <http://eudml.org/doc/273286>.

@article{Agut2013,

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.},

author = {Agut, Cyril, Diaz, Julien},

journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},

keywords = {discontinuous Galerkin; penalization coefficient; CFL condition; wave equation},

language = {eng},

number = {3},

pages = {903-932},

publisher = {EDP-Sciences},

title = {Stability analysis of the Interior Penalty Discontinuous Galerkin method for the wave equation},

url = {http://eudml.org/doc/273286},

volume = {47},

year = {2013},

}

TY - JOUR

AU - Agut, Cyril

AU - Diaz, Julien

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

JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

PY - 2013

PB - EDP-Sciences

VL - 47

IS - 3

SP - 903

EP - 932

AB - 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.

LA - eng

KW - discontinuous Galerkin; penalization coefficient; CFL condition; wave equation

UR - http://eudml.org/doc/273286

ER -

## References

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