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Korean Mathematical Society JKMS

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J. Korean Math. Soc. 2015; 52(6): 1195-1207

Printed November 1, 2015

https://doi.org/10.4134/JKMS.2015.52.6.1195

Copyright © The Korean Mathematical Society.

Lagrange multiplier method for solving variational inequality in mechanics

Robert V. Namm and Gyungsoo Woo

Computing Center of Far Eastern Branch Russian Academy of Sciences, Changwon National University

Abstract

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Lagrange multiplier method for solving the contact problem in elasticity is considered. Based on lower semicontinuity of sensitivity functional we prove the convergence of modified dual scheme to corresponding saddle point.

Keywords: Lagrange multiplier method, duality method, semicoercive contact problem

MSC numbers: Primary 65F10, 65K10, 49M15, 74G15, 74G65

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