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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 6, Pages 10–19 (Mi ivm1443)  
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
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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
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 6, Pages 7–14
DOI: https://doi.org/10.3103/S1066369X09060024
Bibliographic databases:
UDC: 519.626.2
Language: Russian
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
Citation in format AMSBIB
\Bibitem{KimNamVik09}
\by H.~Kim, R.~V.~Namm, E.~M.~Vikhtenko, G.~Woo
\paper Regularization in the Mosolov and Myasnikov problem with boundary friction
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 6
\pages 10--19
\mathnet{http://mi.mathnet.ru/ivm1443}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2583994}
\zmath{https://zbmath.org/?q=an:1180.49010}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 6
\pages 7--14
\crossref{https://doi.org/10.3103/S1066369X09060024}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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