Two-scale simulation of Maxwell's equations

Abstract : 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.
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Conference papers
EDP Sciences. Feb 2007, EDP Sciences, pp.211-223, 2007, Volume 16. 〈10.1051/proc:2007001〉
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Contributor : Stéphanie Salmon <>
Submitted on : Thursday, March 29, 2007 - 4:33:35 PM
Last modification on : Friday, January 4, 2019 - 5:32:29 PM

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Hyam Abboud, Sébastien Jund, Stéphanie Salmon, Eric Sonnendrücker, Hamdi Zorgati. Two-scale simulation of Maxwell's equations. EDP Sciences. Feb 2007, EDP Sciences, pp.211-223, 2007, Volume 16. 〈10.1051/proc:2007001〉. 〈hal-00139181〉

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