Space-time mesh refinement for discontunuous Galerkin methods for symmetric hyperbolic systems
2009
Type de publication :
Article (revues avec comité de lecture)
Journal :
Journal of Computational and Applied Mathematics, vol. 234(6), pp. 1886-1895
HAL :
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.
BibTeX :
@article{Ezz-Jol-2009,
author={Abdelaâziz Ezziani and Patrick Joly },
title={Space-time mesh refinement for discontunuous Galerkin methods
for symmetric hyperbolic systems },
doi={10.1016/j.cam.2009.08.094 },
journal={Journal of Computational and Applied Mathematics },
year={2009 },
volume={234(6) },
pages={1886--1895},
}