Authors

Gabriel Payen, Denis Matignon, Ghislain Haine

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).

Keywords

Maxwell’s equations; port-Hamiltonian system; Partitioned Finite Element Method; Dirac structure; impedance; boundary control; observation

Citation

  • Journal: IFAC-PapersOnLine
  • Year: 2020
  • Volume: 53
  • Issue: 2
  • Pages: 7581–7586
  • Publisher: Elsevier BV
  • DOI: 10.1016/j.ifacol.2020.12.1355
  • Note: 21st IFAC World Congress- Berlin, Germany, 11–17 July 2020

BibTeX

@article{Payen_2020,
  title={{Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system}},
  volume={53},
  ISSN={2405-8963},
  DOI={10.1016/j.ifacol.2020.12.1355},
  number={2},
  journal={IFAC-PapersOnLine},
  publisher={Elsevier BV},
  author={Payen, Gabriel and Matignon, Denis and Haine, Ghislain},
  year={2020},
  pages={7581--7586}
}

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References