Titre : Space-time mesh refinement for discontunuous Galerkin methods for symmetric hyperbolic systems
Année : 2009
Type : article (revue avec comité de lecture)
Auteurs : A. Ezziani, P. Joly
Résumé : We present a new non-conforming space–time mesh refinement method for the symmetric first order hyperbolic system. This method is based on the one hand on the use of a conservative higher order discontinuous Galerkin approximation for space discretization and a finite difference scheme in time, on the other hand on appropriate discrete transmission conditions between the grids. We use a discrete energy technique to drive the construction of the matching procedure between the grids and guarantee the stability of the method.
Thèmes :
Référence : Journal of Computational and Applied Mathematics - vol. 234(6) (pp 1886-1895 )