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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 6, Pages 10–19
(Mi ivm1443)
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This article is cited in 1 scientific paper (total in 1 paper)
Regularization in the Mosolov and Myasnikov problem with boundary friction
H. Kima, R. V. Nammb, E. M. Vikhtenkob, G. Wooa 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.
Received: 28.03.2007
Citation:
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, no. 6, 10–19; Russian Math. (Iz. VUZ), 53:6 (2009), 7–14
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https://www.mathnet.ru/eng/ivm1443 https://www.mathnet.ru/eng/ivm/y2009/i6/p10
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Abstract page: | 386 | Full-text PDF : | 92 | References: | 56 | First page: | 3 |
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