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., 2015, Volume 56, Number 5,Pages <nobr>1092

This article is cited in 4 papers

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

A. N. Konovalov^ab, Yu. P. Popov^cd

^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

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.

UDC: 519.63+539.3

Received: 21.04.2015

DOI: 10.17377/smzh.2015.56.509