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Sibirskii Matematicheskii Zhurnal, 2015, Volume 56, Number 5, Pages 1092–1099
DOI: https://doi.org/10.17377/smzh.2015.56.509 (Mi smj2699) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Explicitly solvable optimal discrete models with controlled disbalance of the total mechanical energy for dynamical problems of linear elasticity

A. N. Konovalovab, Yu. P. Popovcd

a Institute of Computational Mathematics and Mathematical Geophysics of Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia
b Novosibirsk State University, Novosibirsk, Russia
c Lomonosov Moscow State University, Moscow, Russia
d Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow, Russia
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DOI: https://doi.org/10.17377/smzh.2015.56.509
Abstract: Considering the dynamical problems of linear elasticity, we construct and justify explicitly solvable discrete (mesh) models with controlled disbalance of the total mechanical energy and maximally possible parallelism degree.
Keywords: dynamical problems of linear elasticity, equilibrium model, approximate viscosity, nonequilibrium model, control of the disbalance of the total mechanical energy.
Received: 21.04.2015
English version:
Siberian Mathematical Journal, 2015, Volume 56, Issue 5, Pages 872–878
DOI: https://doi.org/10.1134/S0037446615050092
Bibliographic databases:
Document Type: Article
UDC: 519.63+539.3
Language: Russian
Citation: A. N. Konovalov, Yu. P. Popov, “Explicitly solvable optimal discrete models with controlled disbalance of the total mechanical energy for dynamical problems of linear elasticity”, Sibirsk. Mat. Zh., 56:5 (2015), 1092–1099; Siberian Math. J., 56:5 (2015), 872–878
Citation in format AMSBIB
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    • This publication is cited in the following 4 articles:
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