Geodesic
On an interaction of two elastic bodies: analysis and algorithms
Applications of Mathematics, Tome 57 (2012) no. 4, pp. 333-357.

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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.
DOI : 10.1007/s10492-012-0020-0
Classification : 65L10, 74B99, 74K10, 74M20, 74S05
Keywords: obstacle problem; variational formulation; semi-coercive problem; finite elements; semismooth Newton method; method of successive approximations 
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Svobodová, Ivona. On an interaction of two elastic bodies: analysis and algorithms. Applications of Mathematics, Tome 57 (2012) no. 4, pp. 333-357. doi : 10.1007/s10492-012-0020-0. http://geodesic.mathdoc.fr/articles/10.1007/s10492-012-0020-0/

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