A multiscale hybrid-mixed method for the Maxwell equations in the time domain

Abstract : This work proposes a Multiscale Hybrid-Mixed (MHM) method for the Maxwell equation in time domain. The MHM method is a consequence of a hybridization procedure, and emerges as a method that naturally incorporates multiple scales while provides solutions with high-order precision. The computation of local problems is embedded in the upscaling procedure, which are completely independent and thus may be naturally obtained using parallel computation facilities. In this talk, we present the new MHM method for the two-dimensional Maxwell equations in time domain (Transverse Magnetic mode). We address some theoretical aspects of the method and propose an extensive numerical validation. We conclude that the MHM method is naturally shaped to be used in parallel computing environments and appears to be a highly competitive option to handle realistic multiscale hyperbolic boundary value problems with precision on coarse meshes.
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Contributeur : Raphaël Léger <>
Soumis le : jeudi 17 décembre 2015 - 18:00:27
Dernière modification le : jeudi 26 juillet 2018 - 12:16:02

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  •  paredes.pdf  - Commentaire : Abstract correspondant à une communication orale à l'occasion d'une conférence.

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  • HAL Id : hal-01245904, version 1

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Stéphane Lanteri, Raphaël Léger, Diego Paredes, Claire Scheid, Frédéric Valentin. A multiscale hybrid-mixed method for the Maxwell equations in the time domain. WONAPDE 2016, Jan 2016, Concepción, Chile. 2016, 〈http://www.ci2ma.udec.cl/wonapde2016/〉. 〈hal-01245904〉

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