Geodesic
A rare mesh finite element scheme for solving static elasticity problems
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 26-32 Cet article a éte moissonné depuis la source Math-Net.Ru

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This article proposes an implementation of one of the possible rare mesh finite element schemes for solving three-dimensional static problems of the theory of elasticity. A characteristic feature of these schemes is that the elements cover the computational domain not in a continuous manner, but with regular intervals. A rare location of the calculated elements can significantly reduce the computational cost. The results of the numerical solution of the model problem are given and compared with the results obtained on the basis of the traditional schemes.
Keywords: rare mesh scheme, finite element method, mesh of elements, stiffness matrix, numerical implementation, model problem.
Mots-clés : cell, variational equation 
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     title = {A rare mesh finite element scheme for solving static elasticity problems},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
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A. V. Zhidkov; S. V. Spirin; D. T. Chekmarev. A rare mesh finite element scheme for solving static elasticity problems. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 154 (2012) no. 4, pp. 26-32. http://geodesic.mathdoc.fr/item/UZKU_2012_154_4_a2/

[1] Chekmarev D. T., “Azhurnye skhemy metoda konechnogo elementa”, Prikladnye problemy prochnosti i plastichnosti, 55, NNGU, N. Novgorod, 1997, 157–159

[2] Chekmarev D. T., “Chislennye skhemy metoda konechnogo elementa na “azhurnykh” setkakh”, Vopr. atomnoi nauki i tekhniki, Ser. Matem. modelirovanie fiz. protsessov, 2009, no. 2, 49–54

[3] Bazhenov V. G., Chekmarev D. T., Reshenie zadach nestatsionarnoi dinamiki plastin i obolochek variatsionno-raznostnym metodom, Izd-vo Nizhegor. un-ta, N. Novgorod, 2000, 118 pp.

[4] Zhidkov A. V., Zefirov S. V., Kastalskaya K. A., Spirin S. V., Chekmarev D. T., “Azhurnaya skhema chislennogo resheniya trëkhmernykh dinamicheskikh zadach teorii uprugosti i plastichnosti”, Vestn. Nizhegor. gos. un-ta, 2011, no. 4, Ch. 4, 1480–1482