E. M. Vikhtenko, G. Woo, R. V. Namm, “Sensitivity functionals in contact problems of elasticity theory”, Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 7,Pages <nobr>1218

This article is cited in 11 papers

Sensitivity functionals in contact problems of elasticity theory

E. M. Vikhtenko^a, G. Woo^b, R. V. Namm^c

^a Pacific Ocean State University, ul. Tikhookeanskaya 136, Khabarovsk, 680035, Russia
^b Changwon National University, Changwon, 641-773, South Korea
^c Computing Center, Far East Division, Russian Academy of Sciences, ul. Kim-Yu-Chena 65, Khabarovsk, 680000, Russia

Abstract: The sensitivity functional constructed for the variational elasticity problem with given friction is proved to be lower semicontinuous. An analysis based on this property is conducted for a duality scheme with the modified Lagrangian functional.

Key words: contact elasticity problem with given friction, sensitivity functional, modified Lagrangian functional, dual functional, Uzawa’s method.

UDC: 519.634

MSC: 74B05

Received: 29.11.2013

DOI: 10.7868/S0044466914070126