Uzawa block relaxation domain decomposition method for a two-body frictionless contact problem |
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Authors: | Jonas Koko |
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Affiliation: | aLIMOS, Université Blaise Pascal, CNRS UMR 6158, Campus des Cézeaux, BP 10125, 63173 Aubiére cedex, France |
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Abstract: | We propose a Uzawa block relaxation domain decomposition method for a two-body frictionless contact problem. We introduce auxiliary variables to separate subdomains representing linear elastic bodies. Applying a Uzawa block relaxation algorithm to the corresponding augmented Lagrangian functional yields a domain decomposition algorithm in which we have to solve two uncoupled linear elasticity subproblems in each iteration while the auxiliary variables are computed explicitly using Kuhn–Tucker optimality conditions. |
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Keywords: | Two-body frictionless contact Augmented Lagrangian Kuhn– Tucker conditions Uzawa methods Domain decomposition |
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