We consider a model for the propagation and absorption of electromagnetic waves (in the time-harmonic regime) in a magnetised plasma. We present a rigorous derivation of the model and several boundary conditions modelling wave injection into the plasma. Then we propose several variational formulations, mixed and non-mixed, and prove their well-posedness thanks to a theorem by Sébelin et al. Finally, we propose a non-overlapping domain decomposition framework, show its well-posedness and equivalence with the one-domain formulation. These results appear strongly linked to the spectral properties of the plasma dielectric tensor.
DOI : 10.1051/m2an/2015009
Mots clés : Magnetised plasma, Maxwell’s equations, domain decomposition
@article{M2AN_2015__49_5_1239_0,
author = {Back, Aurore and Hattori, Takashi and Labrunie, Simon and Roche, Jean-Rodolphe and Bertrand, Pierre},
title = {Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
pages = {1239--1260},
publisher = {EDP-Sciences},
volume = {49},
number = {5},
year = {2015},
doi = {10.1051/m2an/2015009},
mrnumber = {3423223},
zbl = {1328.35227},
language = {en},
url = {http://www.numdam.org/articles/10.1051/m2an/2015009/}
}
TY - JOUR AU - Back, Aurore AU - Hattori, Takashi AU - Labrunie, Simon AU - Roche, Jean-Rodolphe AU - Bertrand, Pierre TI - Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition JO - ESAIM: Mathematical Modelling and Numerical Analysis PY - 2015 SP - 1239 EP - 1260 VL - 49 IS - 5 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/m2an/2015009/ DO - 10.1051/m2an/2015009 LA - en ID - M2AN_2015__49_5_1239_0 ER -
%0 Journal Article %A Back, Aurore %A Hattori, Takashi %A Labrunie, Simon %A Roche, Jean-Rodolphe %A Bertrand, Pierre %T Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition %J ESAIM: Mathematical Modelling and Numerical Analysis %D 2015 %P 1239-1260 %V 49 %N 5 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/m2an/2015009/ %R 10.1051/m2an/2015009 %G en %F M2AN_2015__49_5_1239_0
Back, Aurore; Hattori, Takashi; Labrunie, Simon; Roche, Jean-Rodolphe; Bertrand, Pierre. Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 49 (2015) no. 5, pp. 1239-1260. doi : 10.1051/m2an/2015009. http://www.numdam.org/articles/10.1051/m2an/2015009/
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