One- and two-level Schwarz methods for variational inequalities of the second kind and their application to frictional contact |
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Authors: | Email author" target="_blank">L?BadeaEmail author R?Krause |
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Institution: | 1.Institute of Mathematics of the Romanian Academy,Bucharest,Romania;2.Institute of Computational Science,University of Lugano,Lugano,Switzerland |
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Abstract: | We present and analyze subspace correction methods for the solution of variational inequalities of the second kind and apply
these theoretical results to non smooth contact problems in linear elasticity with Tresca and non-local Coulomb friction.
We introduce these methods in a reflexive Banach space, prove that they are globally convergent and give error estimates.
In the context of finite element discretizations, where our methods turn out to be one- and two-level Schwarz methods, we
specify their convergence rate and its dependence on the discretization parameters and conclude that our methods converge
optimally. Transferring this results to frictional contact problems, we thus can overcome the mesh dependence of some fixed-point
schemes which are commonly employed for contact problems with Coulomb friction. |
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Keywords: | |
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