Space-time mesh refinement for discontunuous Galerkin methods for symmetric hyperbolic systems

Abdelaâziz Ezziani and Patrick Joly

2009

Publication type:

Paper in peer-reviewed journals

Journal:

Journal of Computational and Applied Mathematics, vol. 234(6), pp. 1886-1895

DOI:

10.1016/j.cam.2009.08.094

HAL:

hal-00976052

Abstract:

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},
}