Domain decomposition methods for problems of unilateral contact between elastic bodies with nonlinear Winkler covers
Numerical Analysis
2012-12-03 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1211.7151,
title = {Domain decomposition methods for problems of unilateral contact between elastic bodies with nonlinear Winkler covers},
author = {Ihor I. Prokopyshyn and Ivan I. Dyyak and Rostyslav M. Martynyak and Ivan A. Prokopyshyn},
journal= {arXiv preprint arXiv:1211.7151},
year = {2012}
}
Comments
10 pages, 2 figures, Submitted to DD21 Proceedings