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Zapiski Nauchnykh Seminarov POMI, 2004, Volume 310, Pages 145–157 (Mi znsl810)  

This article is cited in 4 scientific papers (total in 4 papers)

On the estimate of deviations from the exact solution of the Reissner–Mindlin plate problem

S. I. Repina, M. E. Frolovb

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State Polytechnical University
Full-text PDF (202 kB) Citations (4)
References:
Abstract: In this paper, a majorant of the difference between the exact solution and any conforming approximate solution of the Reissner–Mindlin plate problem is derived. This majorant is explicitly computable and involves constants that depend only on given data of the problem. It provides the ability to compute guaranteed upper bounds of errors with any desired accuracy and vanishes if and only if an approximate solution coincides with the exact one.
Received: 27.05.2004
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 132, Issue 3, Pages 331–338
DOI: https://doi.org/10.1007/s10958-005-0501-8
Bibliographic databases:
UDC: 517
Language: Russian
Citation: S. I. Repin, M. E. Frolov, “On the estimate of deviations from the exact solution of the Reissner–Mindlin plate problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 35, Zap. Nauchn. Sem. POMI, 310, POMI, St. Petersburg, 2004, 145–157; J. Math. Sci. (N. Y.), 132:3 (2006), 331–338
Citation in format AMSBIB
\Bibitem{RepFro04}
\by S.~I.~Repin, M.~E.~Frolov
\paper On the estimate of deviations from the exact solution of the Reissner--Mindlin plate problem
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~35
\serial Zap. Nauchn. Sem. POMI
\yr 2004
\vol 310
\pages 145--157
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl810}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2120189}
\zmath{https://zbmath.org/?q=an:1136.74342}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 132
\issue 3
\pages 331--338
\crossref{https://doi.org/10.1007/s10958-005-0501-8}
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  • https://www.mathnet.ru/eng/znsl/v310/p145
  • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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    Abstract page:521
    Full-text PDF :157
    References:75
     
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