Operator Splitting Based Dynamic Iteration for Linear Port-Hamiltonian Systems
Numerical Analysis
2023-09-26 v1 Numerical Analysis
Abstract
A dynamic iteration scheme for linear differential-algebraic port-Hamil\-tonian systems based on Lions-Mercier-type operator splitting methods is developed. The dynamic iteration is monotone in the sense that the error is decreasing and no stability conditions are required. The developed iteration scheme is even new for linear port-Hamiltonian systems. The obtained algorithm is applied to multibody systems and electrical networks.
Cite
@article{arxiv.2208.03574,
title = {Operator Splitting Based Dynamic Iteration for Linear Port-Hamiltonian Systems},
author = {Andreas Bartel and Michael Günther and Birgit Jacob and Timo Reis},
journal= {arXiv preprint arXiv:2208.03574},
year = {2023}
}
Comments
29 pages, 6 figures