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A Centered Second-Order Finite Volume Scheme for the Heterogeneous Maxwell Equations in Three Dimensions on Arbitrary Unstructured Meshes

Serge Piperno 1 Malika Remaki Loula Fezoui
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 : We prove a sufficient CFL-like condition for the L^2 stability of the second-order accurate finite volume scheme proposed by Remaki for the time-domain solution of Maxwell equations in heterogenous media, with metallic and absorbing boundary conditions. We yield a very general sufficient condition, valid for any finite volume partition in two and three space dimensions. Numerical tests show the potential of this original finite volume scheme in one, two and three space dimensions for the numerical solution of Maxwell equations in the time domain.
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https://hal.inria.fr/inria-00072461
Contributor : Rapport de Recherche Inria <>
Submitted on : Wednesday, May 24, 2006 - 10:01:29 AM
Last modification on : Saturday, April 7, 2018 - 1:18:09 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:08:46 PM

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  • HAL Id : inria-00072461, version 1

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Serge Piperno, Malika Remaki, Loula Fezoui. A Centered Second-Order Finite Volume Scheme for the Heterogeneous Maxwell Equations in Three Dimensions on Arbitrary Unstructured Meshes. RR-4161, INRIA. 2001. ⟨inria-00072461⟩

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