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

Armel de la Bourdonnaye 1
1 CAIMAN - Scientific computing, modeling and numerical analysis
CRISAM - Inria Sophia Antipolis - Méditerranée , ENPC - École des Ponts ParisTech, CNRS - Centre National de la Recherche Scientifique : UMR6621
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.
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https://hal.inria.fr/inria-00072981
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Submitted on : Wednesday, May 24, 2006 - 11:30:42 AM
Last modification on : Friday, February 4, 2022 - 3:19:45 AM
Long-term archiving on: : Sunday, April 4, 2010 - 9:34:00 PM

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  • HAL Id : inria-00072981, version 1

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Armel de la Bourdonnaye. High Order Scheme for a Non Linear Maxwell System Modelling Kerr Effect. RR-3688, INRIA. 1999. ⟨inria-00072981⟩

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