Stability of Transient Coupled Multi-Model Discrete Electromagnetic Field Formulations Using the Port-Hamiltonian System Framework
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}
}
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)