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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 243, Pages 201–214 (Mi znsl503)  
This article is cited in 58 scientific papers (total in 58 papers)

A posteriori error estimation for nonlinear variational problems by duality theory

S. I. Repin

Saint-Petersburg State Polytechnical University
Full-text PDF (188 kB) Citations (58)
Abstract: In this paper we use duality theory of the calculus of variations for deriving a posteriori error estimates. We obtain a general form of this (duality) error estimate and show that known classes of a posteriori error estimates are its particular cases.
Received: 09.09.1996
English version:
Journal of Mathematical Sciences (New York), 2000, Volume 99, Issue 1, Pages 927–935
DOI: https://doi.org/10.1007/BF02673600
Bibliographic databases:
UDC: 517.94
Language: English
Citation: S. I. Repin, “A posteriori error estimation for nonlinear variational problems by duality theory”, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Zap. Nauchn. Sem. POMI, 243, POMI, St. Petersburg, 1997, 201–214; J. Math. Sci. (New York), 99:1 (2000), 927–935
Citation in format AMSBIB
\Bibitem{Rep97}
\by S.~I.~Repin
\paper A posteriori error estimation for nonlinear variational problems by duality theory
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~28
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 243
\pages 201--214
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl503}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1629741}
\zmath{https://zbmath.org/?q=an:0904.65064}
\transl
\jour J. Math. Sci. (New York)
\yr 2000
\vol 99
\issue 1
\pages 927--935
\crossref{https://doi.org/10.1007/BF02673600}
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    • This publication is cited in the following 58 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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