A dynamic iteration scheme for linear differential-algebraic port-Hamiltonian 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 governed by ODEs. The obtained algorithm is applied to a multibody system and an electrical network.

中文翻译：

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线性微分代数端口哈密尔顿系统的基于算子分裂的动态迭代

开发了一种基于 Lions-Mercier 型算子分裂方法的线性微分代数端口哈密顿系统的动态迭代方案。动态迭代是单调的，因为误差正在减小并且不需要稳定性条件。对于由 ODE 控制的线性端口哈密尔顿系统来说，开发的迭代方案甚至是新的。所获得的算法应用于多体系统和电网。