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FETI domain decomposition method to solution of contact problems with large displacements

The solution to contact problems between solid bodies poses difficulties to solvers because in general neither the distributions of the contact tractions throughout the areas currently in contact nor the configurations of these areas are known a priori. This implies that the contact problems are inherently strongly nonlinear. Probably the most popular solution method is based on direct iterations with the non-penetration conditions imposed by the penalty method ([Z93] or [W02]). The method enables easily enhance other non-linearity such as in the case of large displacements. In this paper we are concerned with application of a variant of the FETI domain decomposition method that enforces feasibility of Lagrange multipliers by the penalty [DH04b]. The dual penalty method, which has been shown to be optimal for small displacements is used in inner loop of the algorithm that treats large displacements. We give results of numerical experiments that demonstrate high efficiency of the FETI method