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Journal Articles Journal of Computational and Applied Mathematics Year : 2008

Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems

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Abstract

We present a new non conforming space-time mesh refinement method for 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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Dates and versions

inria-00339912 , version 1 (19-11-2008)

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  • HAL Id : inria-00339912 , version 1

Cite

Abdelaâziz Ezziani, Patrick Joly. Local time stepping and discontinuous Galerkin methods for symmetric first order hyperbolic systems. Journal of Computational and Applied Mathematics, 2008. ⟨inria-00339912⟩
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