H. Kim, R. V. Namm, E. M. Vikhtenko, G. Woo, “Regularization in the Mosolov and Myasnikov problem with boundary friction”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, Number 6,Pages <nobr>10

This article is cited in 1 paper

Regularization in the Mosolov and Myasnikov problem with boundary friction

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

^a Department of Applied Mathematics, College of Natural Sciences, Changwon National University, Сhangwon, South Korea
^b Chair of Computer and Computer-Based Systems Software, Pacific State University, Khabarovsk, Russia

Abstract: We propose an iterative algorithm for solving a semicoercive nonsmooth variational inequality. The algorithm is based on the stepwise partial smoothing of the minimized functional and an iterative proximal regularization method.
We obtain a solution to the variational Mosolov and Myasnikov problem with boundary friction as a limit point of the sequence of solutions to stable auxiliary problems.

Keywords: variational inequality, Mosolov and Myasnikov problem, functional, minimization, proximal regularization, finite element method.

UDC: 519.626.2

Received: 28.03.2007