Operator splitting for port-Hamiltonian systems

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.