E. M. Vikhtenko, G. S. Woo, R. V. Namm, “The methods for solution semi-coercive variational inequalities of mechanics on the basis of modified Lagrangian functionals”, Dal'nevost. Mat. Zh., 2014, Volume 14, Number 1,Pages <nobr>6

This article is cited in 7 papers

The methods for solution semi-coercive variational inequalities of mechanics on the basis of modified Lagrangian functionals

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

^a Pacific National University, Khabarovsk
^b Changwon National University
^c Computer Centre Far-Eastern Branch of RAS

Abstract: The duality scheme based on a modified Lagrangian functional is considered for an elliptic semi-coercive variational Signorini's inequality. The sustainable method for the solution of an investigated inequality is constructed and justified.

Key words: variational inequality, Signorini's problem, sensitivity functional, Lagrangian functional, dual functional, saddle point, Uzawa method, proximal regularization.

UDC: 519.624.8

MSC: 74P01

Received: 13.11.2013