On an interaction of two elastic bodies: Analysis and algorithms
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Springer
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Abstract
The paper deals with existence and uniqueness results and with the numerical solution of the nonsmooth variational problem describing a deflection of a thin annular plate with Neumann boundary conditions. Various types of the subsoil and the obstacle which influence the plate deformation are considered. Numerical experiments compare two different algorithms.
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obstacle problem, variational formulation, semi-coercive problem, finite elements, semismooth Newton method, method of successive approximations, 74K10, 74B99, 74S05, 65L10
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Applications of Mathematics. 2012, vol. 57, issue 4, p. 333-357.