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Matematicheskoe modelirovanie, 2012, Volume 24, Number 12, Pages 86–96 (Mi mm3228)  

This article is cited in 14 scientific papers (total in 14 papers)

Numerical schemes of the support operators method for elasticity theory equations

A. V. Koldoba, Yu. A. Poveshchenko, I. V. Gasilova, E. Yu. Dorofeeva

Keldysh Institute of Applied Mathematics RAS, Moscow
References:
Abstract: In this paper there are considered steady-state equations of linear elasticity theory, for which a family of difference schemes based on support-operators method is constructed. The scalar product in the space of tensor mesh functions, strain tensor component, is selected according to the energy of deformed body. On the unstructured grids there are constructed and analyzed invariant to rotations difference schemes based on support-operators method for the elasticity theory equations in the shifts. The convergence of these schemes to the first order in the mean-square sense for the symmetrized displacement tensor components is proved.
Keywords: difference schemes, support-operators method, elasticity theory equations.
Received: 01.10.2012
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. V. Koldoba, Yu. A. Poveshchenko, I. V. Gasilova, E. Yu. Dorofeeva, “Numerical schemes of the support operators method for elasticity theory equations”, Matem. Mod., 24:12 (2012), 86–96
Citation in format AMSBIB
\Bibitem{KolPovGas12}
\by A.~V.~Koldoba, Yu.~A.~Poveshchenko, I.~V.~Gasilova, E.~Yu.~Dorofeeva
\paper Numerical schemes of the support operators method for elasticity theory equations
\jour Matem. Mod.
\yr 2012
\vol 24
\issue 12
\pages 86--96
\mathnet{http://mi.mathnet.ru/mm3228}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3099813}
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  • https://www.mathnet.ru/eng/mm/v24/i12/p86
  • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математическое моделирование
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