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Two-scale simulation of Maxwell's equations

Salmon, Stéphanie; Jund, Sébastien; Abboud, Hyam; Zorgati, Hamdi; Sonnendrücker, Eric (2005-08), Two-scale simulation of Maxwell's equations, CEMRACS 2005 -Computational Aeroacoustics and Computational Fluid Dynamics in Turbulent Flows, 2005-08, Marseille, France

Type
Communication / Conférence
External document link
http://hal.archives-ouvertes.fr/hal-00139181/en/
Date
2005-08
Conference title
CEMRACS 2005 -Computational Aeroacoustics and Computational Fluid Dynamics in Turbulent Flows
Conference date
2005-08
Conference city
Marseille
Conference country
France
Metadata
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Author(s)
Salmon, Stéphanie
Jund, Sébastien
Abboud, Hyam
Zorgati, Hamdi
Sonnendrücker, Eric
Abstract (EN)
We develop a numerical method for solving Maxwell's equations on a grid involving zones with cells of very different sizes, in order for example to compute sources coming from particles which need to be resolved on a very fine grid. The method is based on domain decomposition techniques which lead us to introduce two auxiliary problems and show theoretically how they allow us to calculate the solution of the initial problem. These two auxiliary problems are discretized using Edge Finite Elements introduced by Nedelec on two different scales which introduce some errors that we correct by setting to zero an operator we know has to be zero in the theoretical study.
Subjects / Keywords
théorie du contrôle; Equations aux dérivées partielles