A discretized waveform relaxation method in flexible holonomic systems

It often happens that iteration processes used for solving the constrained multibody dynamic arising in DAEs. DAE systems may be considered as a kind of very stiff differential systems that is suitable to handle flexible holonomic constrained systems. In the paper, we propose highly discretized parallel iteration methods for the motion equations of flexible holonomic constrained systems modeled with index-3 DAEs. The new parallel dynamic iteration process has been developed, which it is a considerable improvement over the iterated Runge-Kutta method. Convergence analysis is given and verifies for this iteration process with waveform relaxation methods.