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J. Korean Math. Soc. 2012; 49(4): 843-854

Printed July 1, 2012

https://doi.org/10.4134/JKMS.2012.49.4.843

Copyright © The Korean Mathematical Society.

Solution of semicoercive Signorini problem based on a duality scheme with modified Lagrangian functional

Robert V. Namm, Gyungsoo Woo, Shu-Sen Xie, and Sucheol Yi

Pacific National University, Changwon National University, Ocean University of China, Changwon National University

Abstract

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In this paper, the iterative Uzawa method with a modified Lagrangian functional is investigated to seek a saddle point for the semicoercive variational Signorini inequality.

Keywords: Signorini problem, modified Lagrangian functional, saddle point, Uzawa method, G\^{a}teaux derivative

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

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