Loading [MathJax]/jax/output/SVG/config.js
Sibirskii Zhurnal Vychislitel'noi Matematiki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Zh. Vychisl. Mat.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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)
References:
PDF
HTML
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
\Bibitem{Laz11}
\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}
Linking options:
  • https://www.mathnet.ru/eng/sjvm449
  • https://www.mathnet.ru/eng/sjvm/v14/i4/p397
    • 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
    		Sibirskii Zhurnal Vychislitel'noi Matematiki
    Statistics & downloads:
    Abstract page:474
    Full-text PDF :125
    References:71
    First page:13
     
      Contact us:
    math-net2025_05@mi-ras.ru     		 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025