Operator Splitting for Port-Hamiltonian Systems

Authors

Andreas Frommer, Michael Günther, Björn Liljegren-Sailer, Nicole Marheineke

Abstract

The port-Hamiltonian approach presents an energy-based modeling of dynamical systems with energy-conservative and energy-dissipative parts as well as an interconnection over the so-called ports. In this paper, we apply an operator splitting that treats the energy-conservative and energy-dissipative parts separately. This paves the way for linear equation solvers to exploit the respective special structures of the iteration matrices as well as the multirate potential in the different right-hand sides. We illustrate the approach using test examples from coupled multibody system dynamics.

Keywords

arnoldi method, krylov subspace, multirate schemes, operator splitting, port-hamiltonian systems

Citation

• ISBN: 9783032204035
• Publisher: Springer Nature Switzerland
• DOI: 10.1007/978-3-032-20404-2_27
• Note: European Consortium for Mathematics in Industry

BibTeX

@inbook{Frommer_2026,
  title={{Operator Splitting for Port-Hamiltonian Systems}},
  ISBN={9783032204042},
  ISSN={2198-3283},
  DOI={10.1007/978-3-032-20404-2_27},
  booktitle={{Progress in Industrial Mathematics at ECMI 2023}},
  publisher={Springer Nature Switzerland},
  author={Frommer, Andreas and Günther, Michael and Liljegren-Sailer, Björn and Marheineke, Nicole},
  year={2026},
  pages={275--285}
}

Download the bib file

References

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