In this paper, we apply the exact controllability concept for time-harmonic electromagnetic scattering. The problem is presented in terms of the differential forms, and the discrete exterior calculus is utilized for spatial discretization. Accordingly, the physical properties of the problem are maintained. Despite we consider time-harmonic problems, we concentrate on transient wave equations treated by the exact controllability approach. Essentially, we use a controlled variation of the asymptotic approach with periodic constraints, in which the time-dependent equation is simulated in time, until the time-harmonic solution is reached.
Dans cet article, nous appliquons le concept de contrôlabilité exacte à la dispersion électromagnétique temporelle. Le problème est présenté en termes de formes différentielles et le calcul extérieur discret est utilisé pour la discrétisation spatiale. En conséquence, les propriétés physiques du problème sont maintenues. Bien que nous considérions des problèmes harmoniques temporels, nous nous concentrons sur les équations d’ondes transitoires traitées par l’approche de contrôlabilité exacte. Essentiellement, nous utilisons une variation contrôlée de l’approche asymptotique avec des contraintes périodiques, dans laquelle l’équation dépendant du temps est simulée dans le temps, jusqu’à ce que la solution harmonique temporelle soit atteinte.
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Mot clés : Équations de Maxwell, Diffusion électromagnétique, Formes différentielles, Calcul extérieur discret, Contrôlabilité exacte
Sanna Mönkölä 1; Jukka Räbinä 1; Tuomo Rossi 1
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@article{CRMECA_2023__351_S1_647_0,
author = {Sanna M\"onk\"ol\"a and Jukka R\"abin\"a and Tuomo Rossi},
title = {Time-harmonic electromagnetics with exact controllability and discrete exterior calculus},
journal = {Comptes Rendus. M\'ecanique},
pages = {647--665},
publisher = {Acad\'emie des sciences, Paris},
volume = {351},
number = {S1},
year = {2023},
doi = {10.5802/crmeca.234},
language = {en},
}
TY - JOUR AU - Sanna Mönkölä AU - Jukka Räbinä AU - Tuomo Rossi TI - Time-harmonic electromagnetics with exact controllability and discrete exterior calculus JO - Comptes Rendus. Mécanique PY - 2023 SP - 647 EP - 665 VL - 351 IS - S1 PB - Académie des sciences, Paris DO - 10.5802/crmeca.234 LA - en ID - CRMECA_2023__351_S1_647_0 ER -
%0 Journal Article %A Sanna Mönkölä %A Jukka Räbinä %A Tuomo Rossi %T Time-harmonic electromagnetics with exact controllability and discrete exterior calculus %J Comptes Rendus. Mécanique %D 2023 %P 647-665 %V 351 %N S1 %I Académie des sciences, Paris %R 10.5802/crmeca.234 %G en %F CRMECA_2023__351_S1_647_0
Sanna Mönkölä; Jukka Räbinä; Tuomo Rossi. Time-harmonic electromagnetics with exact controllability and discrete exterior calculus. Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 647-665. doi : 10.5802/crmeca.234. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.234/
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