Monday, December 3, 2012

1211.7151 (Ihor I. Prokopyshyn et al.)

Domain decomposition methods for problems of unilateral contact between
elastic bodies with nonlinear Winkler covers
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Ihor I. Prokopyshyn, Ivan I. Dyyak, Rostyslav M. Martynyak, Ivan A. Prokopyshyn
In this paper we propose on continuous level a class of domain decomposition methods of Robin-Robin type to solve the problems of unilateral contact between elastic bodies with nonlinear Winkler covers. These methods are based on abstract nonstationary iterative algorithms for nonlinear variational equations in reflexive Banach spaces. We also provide numerical investigations of obtained methods using finite element approximations.
View original: http://arxiv.org/abs/1211.7151

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