STABILITY ANALYSIS OF THE INTERIOR PENALTY DISCONTINUOUS GALERKIN METHOD FOR THE WAVE EQUATION

被引：12

作者：

Agut, Cyril ^{[1
]}

Diaz, Julien ^{[2
]}

机构：

[1] Univ Pau, LMAP, INRIA Project Team Magique 3D, Pau, France

[2] Univ Pau, INRIA, Project Team Magique 3D, Pau, France

来源：

ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE | 2013年 / 47卷 / 03期

关键词：

Discontinuous Galerkin; penalization coefficient; CFL condition; wave equation; FINITE-ELEMENT-METHOD;

D O I：

10.1051/m2an/2012061

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：903 / 932

页数：30

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