Authors

Markus Clemens, Michael Günther

Abstract

The port-Hamiltonian system (pHS) framework established for coupled system formulations in multi-model and multi-physics problems considers physical model formulations either in a continuous setting as sets of partial differential equations or, alternatively, in discrete variants as pH differential-algebraic equations (pH-DAEs) [1]. The key to pHS formulations is that they are established with respect to energy conservation and dissipation inequalities. A typical \( \mathrm{pH}-\mathrm{DAE} \) is given in the form

Citation

  • Journal: 2023 International Conference on Electromagnetics in Advanced Applications (ICEAA)
  • Year: 2023
  • Volume:
  • Issue:
  • Pages: 1–1
  • Publisher: IEEE
  • DOI: 10.1109/iceaa57318.2023.10297842

BibTeX

@inproceedings{Clemens_2023,
  title={{Stability of Transient Coupled Multi-Model Discrete Electromagnetic Field Formulations Using the Port-Hamiltonian System Framework}},
  DOI={10.1109/iceaa57318.2023.10297842},
  booktitle={{2023 International Conference on Electromagnetics in Advanced Applications (ICEAA)}},
  publisher={IEEE},
  author={Clemens, Markus and Günther, Michael},
  year={2023},
  pages={1--1}
}

Download the bib file

References

  • Jeltsema, Port-Hamiltonian systems theory: An introductory overview. Control (2014)
  • WEILAND, T. TIME DOMAIN ELECTROMAGNETIC FIELD COMPUTATION WITH FINITE DIFFERENCE METHODS. International Journal of Numerical Modelling: Electronic Networks, Devices and Fields vol. 9 295–319 (1996) – 10.1002/(sici)1099-1204(199607)9:4<295::aid-jnm240>3.0.co;2-8
  • Weiland, On the unique numerical solution of Maxwellian eigenvalue problems in three dimensions. 2023 IEEE (1984)