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Zapiski Nauchnykh Seminarov LOMI, 1981, Volume 111, Pages 137–144 (Mi znsl1791)  
Error of the Bubnov–Galerkin method for elliptic boundary-value problems

S. G. Mikhlin
Full-text PDF (671 kB)
Abstract: In this paper the author, developing one of his own methods and making use of more refined Markov inequalities, obtains estimates for the error of the Bubnov–Galerkin method for the derivatives of the solutions of non-self-adjoint elliptic boundary-value problems. Regarding the order of accuracy, they coincide with the best known estimates of the Ritz method for the solutions of positivedefinite problems.
English version:
Journal of Soviet Mathematics, 1984, Volume 24, Issue 1, Pages 89–94
DOI: https://doi.org/10.1007/BF01230269
Bibliographic databases:
UDC: 518
Language: Russian
Citation: S. G. Mikhlin, “Error of the Bubnov–Galerkin method for elliptic boundary-value problems”, Computational methods and algorithms. Part V, Zap. Nauchn. Sem. LOMI, 111, "Nauka", Leningrad. Otdel., Leningrad, 1981, 137–144; J. Soviet Math., 24:1 (1984), 89–94
Citation in format AMSBIB
\Bibitem{Mik81}
\by S.~G.~Mikhlin
\paper Error of the Bubnov--Galerkin method for elliptic boundary-value problems
\inbook Computational methods and algorithms. Part~V
\serial Zap. Nauchn. Sem. LOMI
\yr 1981
\vol 111
\pages 137--144
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl1791}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=628997}
\zmath{https://zbmath.org/?q=an:0527.65074|0484.65069}
\transl
\jour J. Soviet Math.
\yr 1984
\vol 24
\issue 1
\pages 89--94
\crossref{https://doi.org/10.1007/BF01230269}
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