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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2011, Volume 14, Number 4, Pages 397–408 (Mi sjvm449)  
This article is cited in 14 scientific papers (total in 14 papers)

An iterative penalty method for a nonlinear problem of equilibrium of a Timoshenko-type plate with a crack

N. P. Lazarevab

a Research Institute of Mathematics of Yakut State University, Yakutsk
b M. A. Lavrent'ev Institute of Hydrodynamics, Novosibirsk
Full-text PDF (230 kB) Citations (14)
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Abstract: A variational problem of equilibrium of an elastic Timoshenko-type plate in a domain with a slit is considered. A nonpenetration boundary condition in the form of an inequality is specified on the edges of the slit. A penalized equation and an iterative linear equation in integral and differential forms are constructed. Some results on solution convergence and an error estimate are obtained.
Key words: crack, Timoshenko-type plate, penalty operator, energy functional, variational problem.
Received: 15.12.2010
Revised: 17.03.2011
English version:
Numerical Analysis and Applications, 2011, Volume 4, Issue 4, Pages 309–318
DOI: https://doi.org/10.1134/S1995423911040045
Bibliographic databases:
Document Type: Article
UDC: 539.311
Language: Russian
Citation: N. P. Lazarev, “An iterative penalty method for a nonlinear problem of equilibrium of a Timoshenko-type plate with a crack”, Sib. Zh. Vychisl. Mat., 14:4 (2011), 397–408; Num. Anal. Appl., 4:4 (2011), 309–318
Citation in format AMSBIB
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\by N.~P.~Lazarev
\paper An iterative penalty method for a~nonlinear problem of equilibrium of a~Timoshenko-type plate with a~crack
\jour Sib. Zh. Vychisl. Mat.
\yr 2011
\vol 14
\issue 4
\pages 397--408
\mathnet{http://mi.mathnet.ru/sjvm449}
\transl
\jour Num. Anal. Appl.
\yr 2011
\vol 4
\issue 4
\pages 309--318
\crossref{https://doi.org/10.1134/S1995423911040045}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84155187184}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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