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Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system

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).
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https://hal.archives-ouvertes.fr/hal-03208702
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Submitted on : Monday, April 26, 2021 - 5:43:45 PM
Last modification on : Tuesday, April 27, 2021 - 9:06:00 AM
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Gabriel Payen, Denis Matignon, Ghislain Haine. Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system. The 21th World Congress of The International Federation of Automatic Control (IFAC 2020), Jul 2020, Berlin (virtual), Germany. pp.7581-7586, ⟨10.1016/j.ifacol.2020.12.1355⟩. ⟨hal-03208702⟩

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