Payen, Gabriel and Matignon, Denis
and Haine, Ghislain
Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system.
(2020)
In: The 21st World Congress of The International Federation of Automatic Control (IFAC 2020), 11 July 2020 - 17 July 2020 (Virtual event, Germany).
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(Document in English)
PDF (Author's version) - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader 438kB |
Official URL: https://doi.org/10.1016/j.ifacol.2020.12.1355
Abstract
The modelling and discretization of the boundary controlled 3D Maxwell’s equations as a port-Hamiltonian system is addressed. The proposed scheme, based on the Partitioned Finite Element Method (PFEM), originally proposed in Cardoso-Ribeiro et al. (2018), preserves the Dirac structure at the discrete level. Two types of damping phenomena are taken into account: Joule’s effect, and a matrix-valued impedance at the boundary, both being preserved by PFEM, as presented in Serhani et al. (2019a).
| Item Type: | Invited Conference |
|---|---|
| Additional Information: | Volume 53, Issue 2 |
| HAL Id: | hal-03208702 |
| Audience (conference): | International conference proceedings |
| Uncontrolled Keywords: | |
| Institution: | Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE) |
| Laboratory name: | |
| Statistics: | download |
| Deposited On: | 26 Apr 2021 15:43 |
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