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Matematicheskoe modelirovanie, 1991, Volume 3, Number 2, Pages 108–118 (Mi mm2192)  

This article is cited in 1 scientific paper (total in 1 paper)

Computational methods and algorithms

On grid approximation accuracy of the elastisity theory problems with singularities of crack type

I. G. Beluhina

M. V. Lomonosov Moscow State University
Full-text PDF (933 kB) Citations (1)
Abstract: The integral representations of solutions of grid problems of elastisity theory for plane with cut, at the edges of which the conditions of the first or second kind are given, are found. It is shown that the accuracy is $O(h/r^{1/2})$ where r is a distance to cut apex. Modifications of difference schemes and schemes of finite element method raising the accuracy to $O(h^2)$ outside a finite neighbourhood of cut apex are constructed. The results of numerical calculations are attached.
Received: 14.05.1990
Bibliographic databases:
Language: Russian
Citation: I. G. Beluhina, “On grid approximation accuracy of the elastisity theory problems with singularities of crack type”, Matem. Mod., 3:2 (1991), 108–118
Citation in format AMSBIB
\Bibitem{Bel91}
\by I.~G.~Beluhina
\paper On grid approximation accuracy of the elastisity theory problems with singularities of crack type
\jour Matem. Mod.
\yr 1991
\vol 3
\issue 2
\pages 108--118
\mathnet{http://mi.mathnet.ru/mm2192}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1151108}
\zmath{https://zbmath.org/?q=an:1189.74103}
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  • https://www.mathnet.ru/eng/mm2192
  • https://www.mathnet.ru/eng/mm/v3/i2/p108
  • This publication is cited in the following 1 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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    Abstract page:222
    Full-text PDF :106
    References:1
    First page:1
     
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