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Article

Svobodová, Ivona
On an interaction of two elastic bodies: analysis and algorithms. (English). Applications of Mathematics, vol. 57 (2012), issue 4, pp. 333-357
MSC: 65L10, 74B99, 74K10, 74M20, 74S05 | MR 2984607 | Zbl 1265.74053 | DOI: 10.1007/s10492-012-0020-0
Keywords:
obstacle problem; variational formulation; semi-coercive problem; finite elements; semismooth Newton method; method of successive approximations
Summary:
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.
References:
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