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.
翻译:以狮子-Mercier型操作员分离方法为基础的线性差位数端口-Hamil\-tonian系统动态迭代计划得到开发。动态迭代是单色体,因为错误正在减少,不需要稳定条件。发达的迭代计划甚至对线性端口-Hamiltonian系统来说是全新的。所获得的算法应用到多体系统和电网中。