Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition

Abstract : 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 S\'ebelin 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.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-01075137
Contributor : Simon Labrunie <>
Submitted on : Monday, February 2, 2015 - 10:33:14 PM
Last modification on : Wednesday, September 4, 2019 - 2:06:02 PM
Long-term archiving on : Sunday, May 3, 2015 - 11:00:31 AM

Files

BHLRB15.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Aurore Back, Takashi Hattori, Simon Labrunie, Jean-Rodolphe Roche, Pierre Bertrand. Electromagnetic wave propagation and absorption in magnetised plasmas: variational formulations and domain decomposition. ESAIM: Mathematical Modelling and Numerical Analysis, EDP Sciences, 2015, 49 (5), pp.1239-1260. ⟨10.1051/m2an/2015009 ⟩. ⟨hal-01075137v2⟩

Share

Metrics

Record views

274

Files downloads

299