Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems

Authors

Ghislain Haine, Denis Matignon

Abstract

The heat-wave system is recast as the coupling of port-Hamiltonian subsystems (pHs), and discretized in a structure-preserving way by the Partitioned Finite Element Method (PFEM) [ 10 , 11 ]. Then, depending on the geometric configuration of the two domains, different asymptotic behaviours of the energy of the coupled system can be recovered at the numerical level, assessing the validity of the theoretical results of [ 22 ].

Keywords

Port-Hamiltonian Systems; Partitioned finite element method; Long time asymptotics

Citation

• ISBN: 9783030802080
• Publisher: Springer International Publishing
• DOI: 10.1007/978-3-030-80209-7_22
• Note: International Conference on Geometric Science of Information

BibTeX

@inbook{Haine_2021,
  title={{Structure-Preserving Discretization of a Coupled Heat-Wave System, as Interconnected Port-Hamiltonian Systems}},
  ISBN={9783030802097},
  ISSN={1611-3349},
  DOI={10.1007/978-3-030-80209-7_22},
  booktitle={{Geometric Science of Information}},
  publisher={Springer International Publishing},
  author={Haine, Ghislain and Matignon, Denis},
  year={2021},
  pages={191--199}
}

Download the bib file

References

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