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Dal'nevost. Mat. Zh., 2012, Volume 12, Number 1, Pages 3–11 (Mi dvmg224)  

This article is cited in 1 scientific paper (total in 1 paper)

On the method of searching a saddle point of modified Lagrangian functional for elasticity problem with friction

E. M. Vikhtenko

Pacific National University, Khabarovsk

Abstract: The semicoercive elasticity problem with the friction is considered. The scheme of duality with modified Lagrangian functional is used. A method of searching a saddle point of modified Lagrangian functional is constructed and proved with various step of shift according to dual variable.
The main results of the paper were reported on the section talk at the International conference «Toric Topology and Automorphic Functions» (September, 5–10th, 2011, Khabarovsk, Russia).

Key words: contact problem, modified Lagrangian functional, saddle point, Uzawa method.

Full text: PDF file (259 kB)
References: PDF file   HTML file
UDC: 519.624.8
MSC: 74P01
Received: 29.09.2011

Citation: E. M. Vikhtenko, “On the method of searching a saddle point of modified Lagrangian functional for elasticity problem with friction”, Dal'nevost. Mat. Zh., 12:1 (2012), 3–11

Citation in format AMSBIB
\Bibitem{Vik12}
\by E.~M.~Vikhtenko
\paper On the method of searching a saddle point of modified Lagrangian functional for elasticity problem with friction
\jour Dal'nevost. Mat. Zh.
\yr 2012
\vol 12
\issue 1
\pages 3--11
\mathnet{http://mi.mathnet.ru/dvmg224}


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    This publication is cited in the following articles:
    1. E. M. Vikhtenko, G. Woo, R. V. Namm, “Sensitivity functionals in contact problems of elasticity theory”, Comput. Math. Math. Phys., 54:7 (2014), 1190–1200  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
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