A domain decomposition method for structural dynamic problems based on an inexact Uzawa algorithm

We propose and study, for structural dynamic problems, a domain decomposition method based on an augmented Lagrangian formulation. This method uses an inexact Uzawa algorithm to solve the linear system required at any time increment. The proposed algorithm is interesting, for parallel and vector applications, because it doesn't need scalar products and has less operations by iteration than the conjugate gradient method applied to the dual problem. Three dimensional elasticity dinamic problems are solved by the proposed algorithm and and some comparisons with the conjugate gradient method and Uzawa algorithm are adressed.