Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2016-2pp.156-163

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Total articles in the database: 10522
In Russian (ΟΜΜ): 9723
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E.L. Hart and V.S. Hudramovich, "Projection-iterative modification of the method of local variations for problems with a quadratic functional," J. Appl. Math. Mech. 80 (2), 156-163 (2016)
Year 2016 Volume 80 Issue 2 Pages 156-163
DOI 10.1016/j.jappmathmech.2016.06.005
Title Projection-iterative modification of the method of local variations for problems with a quadratic functional
Author(s) E.L. Hart (Honchar Dnepropetrovsk National University, hart@ua.fm)
V.S. Hudramovich (Institute of Technical Mechanics, Ukrainian Academy of Sciences, Dnepropetrovsk, Ukraine, hudramovich@i.ua)
Abstract A projection-iterative scheme of realization of the method of local variations for solving variational problems with a quadratic functional is proposed. The convergence of the proposed scheme to the use of functional analysis is investigated. For the case of solving problems of the local stability of a spherical shell, the practical effectiveness of the proposed modification of the method of local variations is shown.
Received 18 March 2015
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