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  • 标题:Modelling and structure-preserving discretization of Maxwell’s equations as port-Hamiltonian system ⁎
  • 本地全文:下载
  • 作者:Gabriel Payen ; Denis Matignon ; Ghislain Haine
  • 期刊名称:IFAC PapersOnLine
  • 印刷版ISSN:2405-8963
  • 出版年度:2020
  • 卷号:53
  • 期号:2
  • 页码:7581-7586
  • DOI:10.1016/j.ifacol.2020.12.1355
  • 语种:English
  • 出版社:Elsevier
  • 摘要:AbstractThe 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).
  • 关键词:KeywordsMaxwell’s equationsport-Hamiltonian systemPartitioned Finite Element MethodDirac structureimpedanceboundary controlobservation
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