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Penalty Robin-Robin domain decomposition methods for unilateral multibody contact problems of elasticity: Convergence results

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      Abstract

      The paper is devoted to penalty Robin-Robin domain decomposition methods (DDMs), proposed by us for the solution of unilateral multibody contact problems of elasticity. These DDMs are based on the penalty method for variational inequalities and some stationary and nonstationary iterative methods for nonlinear variational equations. The main result of the paper is that we give mathematical justification of proposed DDMs and prove theorems about their convergence. We also provide numerical investigations of the efficiency of these methods using finite element approximations.

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      Most cited references 14

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      Variationally consistent discretization schemes and numerical algorithms for contact problems

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        A Dirichlet-Neumann type algorithm for contact problems with friction

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          Generalizations and Accelerations of Lions' Nonoverlapping Domain Decomposition Method for Linear Elliptic PDE

           W. Guo,  L. S. Hou (2003)
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            Journal
            1208.6478

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