Operator Splitting Based Dynamic Iteration for Linear Port-Hamiltonian Systems

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.