Combined domain decomposition and model order reduction methods for the solution of coupled and non-linear problems

A new strategy for the ecient solution of highly nonlinear structural problems is proposed in this paper, based on the combined use of Domain Decomposition (DD) and Proper Orthogonal Decomposition (POD) techniques. The formulation here presented is tailored for applications in elasto-plastic structural dynamics. In this context the POD is applied to linear domains and a double strategy to update the reduced basis is adopted. Examples show that a meaningful computational gain of approximately 50% with respect to a monolithic solution can be obtained.