A Simple Explicit-Implicit FETI Transient Analysis Algorithm

A simple explicit-implicit FETI transient analysis procedure is presented, which utilizes the same basic FETI solver developed for static structural analysis problems. A key concept for the present algorithm is to integrate d’Alembert-Lagrange principal equations, viz., the domain-by-domain floating dynamic selfequilibrium equations, by an explicit algorithm. The remaining deformation modes are then integrated by an unconditionally stable implicit integration algorithm, thus achieving overall unconditional stability. The resulting interface problem possesses the same solution matrix profile as the basic FETI static problems. The present simple dynamic algorithm, as expected, falls short of the performance of the FETI-DP but offers a similar performance of implicit two-level FETI-D with a much cheaper coarse solver; hence, its simplicity may offer relatively easy means for conducting parallel analysis of both static and dynamic problems by employing the same basic scalable FETI solver, especially for research-mode numerical experiments. Copyright c © 2011 John Wiley & Sons, Ltd.