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Domain Decomposition Methods for Problems of Unilateral Contact Between Elastic Bodies with Nonlinear Winkler Covers

  • Ihor I. ProkopyshynEmail author
  • Ivan I. Dyyak
  • Rostyslav M. Martynyak
  • Ivan A. Prokopyshyn
Conference paper
Part of the Lecture Notes in Computational Science and Engineering book series (LNCSE, volume 98)

Abstract

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.

Notes

Acknowledgements

This work was partially supported by Grant 23-08-12 of National Academy of Sciences of Ukraine.

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  • Ihor I. Prokopyshyn
    • 1
    Email author
  • Ivan I. Dyyak
    • 2
  • Rostyslav M. Martynyak
    • 1
  • Ivan A. Prokopyshyn
    • 2
  1. 1.Pidstryhach IAPMM NASULvivUkraine
  2. 2.Ivan Franko National University of LvivLvivUkraine

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