A multiscale hybrid-mixed method for the Maxwell equations in 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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Submitted on : Tuesday, November 29, 2016 - 10:31:26 AM
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Stéphane Lanteri, Raphaël Léger, Diego Paredes, Claire Scheid, Frédéric Valentin. A multiscale hybrid-mixed method for the Maxwell equations in time-domain . Icosahom 2016 - International Conference on Spectral and High Order Methods, Jun 2016, Rio de Janeiro, Brazil. ⟨hal-01404684⟩

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