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inria-00072981, version 1

High Order Scheme for a Non Linear Maxwell System Modelling Kerr Effect

Armel De La Bourdonnaye 1

N° RR-3688 (1999)

Abstract: The paper is devoted to the derivation of an efficient numerical scheme for the Kerr-Maxwell system. We begin by studying the 1-D Riemann problem. We obtain a result of existence and uniqueness for large data. Then we develop a high order Roe solver and exhibit solutions in 1-d and 2-d simulatio- ns.

  • 1:  CAIMAN (INRIA Sophia Antipolis)
  • INRIA – CNRS : UMR6621 – Ecole des Ponts ParisTech
  • Domain : Computer Science/Other
  • Keywords : MAXWELL SYSTEM / KERR EFFECT / QUASILINEAR SYSTEM / HYPERBOLICITY / GODUNOV SOLVER / ROE SOLVER / FILAMENTATION
  • Internal note : RR-3688
 
  • inria-00072981, version 1
  • http://hal.inria.fr/inria-00072981
  • oai:hal.inria.fr:inria-00072981
  • From: Rapport De Recherche Inria <>
  • Submitted on: Wednesday, 24 May 2006 11:30:42
  • Updated on: Wednesday, 31 May 2006 14:24:27