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

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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.

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Authors and Affiliations

  1. Institute of Computational Mathematics and Mathematical Geophysics Novosibirsk State University, Novosibirsk, Russia

    A. N. Konovalov

  2. Keldysh Institute of Applied Mathematics, Moscow, Russia

    Yu. P. Popov

Authors
  1. A. N. Konovalov
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  2. Yu. P. Popov
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Corresponding author

Correspondence to A. N. Konovalov.

Additional information

Original Russian Text Copyright © 2015 2015 Konovalov A.N. and Popov Yu.P.

The article was written in the framework of Program 2 of fundamental research of the Presidium of the Russian Academy of Sciences “Intellectual Information Technologies, Mathematical Modeling, System Analysis, and Automatization.” The authors were supported by the Ministry of Science and Education (the project “Fundamental Problems of Mathematical Modeling and Computational Mathematics,” State Contract 14.740.11).

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 56, No. 5, pp. 1092–1099, September–October, 2015; DOI: 10.17377/smzh.2015.56.509.

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Konovalov, A.N., Popov, Y.P. Explicitly solvable optimal discrete models with controlled disbalance of the total mechanical energy for dynamical problems of linear elasticity. Sib Math J 56, 872–878 (2015). https://doi.org/10.1134/S0037446615050092

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  • DOI: https://doi.org/10.1134/S0037446615050092

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