HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

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

Abdelaâziz Ezziani 1, 2, * Patrick Joly 3, *
* Corresponding author
2 Magique 3D - Advanced 3D Numerical Modeling in Geophysics
LMAP - Laboratoire de Mathématiques et de leurs Applications [Pau], Inria Bordeaux - Sud-Ouest
3 POEMS - Propagation des Ondes : Étude Mathématique et Simulation
CNRS - Centre National de la Recherche Scientifique : UMR7231, UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France
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.
Complete list of metadata

Cited literature [13 references]  Display  Hide  Download

https://hal.inria.fr/inria-00339912
Contributor : Abdelaâziz Ezziani Connect in order to contact the contributor
Submitted on : Wednesday, November 19, 2008 - 1:53:04 PM
Last modification on : Wednesday, May 11, 2022 - 12:06:04 PM
Long-term archiving on: : Monday, June 7, 2010 - 11:07:28 PM

File

ej_jcam08.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : inria-00339912, version 1

Citation

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

Share

Metrics

Record views

259

Files downloads

201