Titre : Stability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation
Année : 2013
Type : article_acl
Auteurs : H. Chang, E. Chung, G. Cohen
Résumé : Staggered discontinuous Galerkin methods have been developed recently and are adopted successfully to many problems such as wave propagation, elliptic equation, convectiondiffusion equation and the Maxwell’s equations. For wave propagation, the method is proved to have the desirable properties of energy conservation, optimal order of convergence and blockdiagonal mass matrices. In this paper, we perform an analysis for the dispersion error and theCFL constant. Our results show that the staggered method provides a smaller dispersion error compared with classical finite element method as well as non-staggered discontinuous Galerkin methods.
Thèmes : Ondes transitoires
Référence : Int. Journal of Num. Analysis and Modeling - vol. 10 (1) (pp 233-256 )