Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs
Dynamical Systems
2023-09-01 v1
Abstract
Operator splitting methods allow to split the operator describing a complex dynamical system into a sequence of simpler subsystems and treat each part independently. In the modeling of dynamical problems, systems of (possibly coupled) differential-algebraic equations (DAEs) arise. This motivates the application of operator splittings which are aware of the various structural forms of DAEs. Here, we present an approach for the splitting of coupled index-1 DAE as well as for the splitting of port-Hamiltonian DAEs, taking advantage of the energy-conservative and energy-dissipative parts. We provide numerical examples illustrating our second-order convergence results.
Cite
@article{arxiv.2308.16736,
title = {Operator splitting for semi-explicit differential-algebraic equations and port-Hamiltonian DAEs},
author = {Andreas Bartel and Malak Diab and Andreas Frommer and Michael Günther},
journal= {arXiv preprint arXiv:2308.16736},
year = {2023}
}