Convergence results of a heterogeneous asynchronous Newmark time integrators

This paper is concerned with the convergence analysis of the PH heterogeneous asynchronous time integrators algorithm, proposed by Prakash and Hjelmstad (2004), and devoted to transient dynamic problems for structural analysis. According to PH method, the time discretization is performed using the well-known Newmark schemes, where the time step ratio, i.e., the ratio of the macro time step to the micro time step, of two subdomains separated by an interface is a positive integer. The analysis is restricted to linear problems with two subdomains for simplification. We show that L ∞ -uniform convergence of the approximated solutions is achieved taking into account damping terms. We shall also give some error estimates of the method.