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

Abdelaâziz Ezziani 1 Patrick Joly 1
1 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées, CNRS - Centre National de la Recherche Scientifique : UMR7231
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.
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Journal articles
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Abdelaâziz Ezziani, Patrick Joly. Space-time mesh refinement for discontunuous Galerkin methods for symmetric hyperbolic systems. Journal of Computational and Applied Mathematics, Elsevier, 2009, 234 (6), pp.1886-1895. ⟨10.1016/j.cam.2009.08.094⟩. ⟨hal-00976052⟩

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