Operator Splitting Based Dynamic Iteration for Linear Infinite-Dimensional Port-Hamiltonian Systems

Authors

Bálint Farkas, Birgit Jacob, Timo Reis, Merlin Schmitz

Abstract

A dynamic iteration scheme for linear infinite-dimensional port-Hamiltonian systems is proposed. The error of the dynamic iteration is convergent to 0 and subject to a effective decreasing bound. No stability condition is required and the method is in particular applicable to port-Hamiltonian formulations arising from domain decompositions.

Keywords

35a35, 37l65, 47h05, dynamic iteration, infinite-dimensional linear systems, operator splitting, system nodes

Citation

• Journal: Complex Analysis and Operator Theory
• Year: 2026
• Volume: 20
• Issue: 1
• Pages:
• Publisher: Springer Science and Business Media LLC
• DOI: 10.1007/s11785-025-01863-8

BibTeX

@article{Farkas_2025,
  title={{Operator Splitting Based Dynamic Iteration for Linear Infinite-Dimensional Port-Hamiltonian Systems}},
  volume={20},
  ISSN={1661-8262},
  DOI={10.1007/s11785-025-01863-8},
  number={1},
  journal={Complex Analysis and Operator Theory},
  publisher={Springer Science and Business Media LLC},
  author={Farkas, Bálint and Jacob, Birgit and Reis, Timo and Schmitz, Merlin},
  year={2025}
}

Download the bib file

References

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