Bulletin of the
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ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

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Bull. Korean Math. Soc. 2017; 54(2): 647-654

Online first article November 3, 2016      Printed March 31, 2017

https://doi.org/10.4134/BKMS.b160247

Copyright © The Korean Mathematical Society.

Modified duality scheme for solving model crack problem in mechanics

Robert V. Namm and Gyungsoo Woo

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

Abstract

Duality methods based on modified Lagrangian functional for solving a model crack problem is considered. Without additional assumptions of regularity of the solution of an initial problem duality ratio is established for initial and dual problem.

Keywords: crack problem, duality method, modified lagrangian functional

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

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