The modern design of industrial structures leads to very complex simulationscharacterized by nonlinearities, high heterogeneities, tortuous geometries...Whatever the modelization may be, such an analysis leads to the solution to afamily of large ill-conditioned linear systems. In this paper we studystrategies to efficiently solve to linear system based on non-overlappingdomain decomposition methods. We present a review of most employed approachesand their strong connections. We outline their mechanical interpretations aswell as the practical issues when willing to implement and use them. Numericalproperties are illustrated by various assessments from academic to industrialproblems. An hybrid approach, mainly designed for multifield problems, is alsointroduced as it provides a general framework of such approaches.
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