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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1990, Volume 30, Number 7, Pages 1031–1044 (Mi zvmmf3232)  
This article is cited in 6 scientific papers (total in 6 papers)

The projection method for singularly perturbed boundary value problems

I. A. Blatov

Voronezh
Full-text PDF (1439 kB) Citations (6)
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Abstract: A finite element method for linear and non-linear singularly perturbed boundary-value problems is considered. It is proved that the approximate solutions converge to the exact solution in the norm of the space of continuous functions, uniformly in the small parameter. The proposed scheme is suitable for solving a wider class of problems than can be handled by the popular “hinged element method”, and also produces a higher order of approximation.
Received: 05.05.1988
Revised: 25.09.1989
English version:
USSR Computational Mathematics and Mathematical Physics, 1990, Volume 30, Issue 4, Pages 47–56
DOI: https://doi.org/10.1016/0041-5553(90)90043-R
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: Primary 65L10; Secondary 65L60, 34B15, 34E15
Language: Russian
Citation: I. A. Blatov, “The projection method for singularly perturbed boundary value problems”, Zh. Vychisl. Mat. Mat. Fiz., 30:7 (1990), 1031–1044; U.S.S.R. Comput. Math. Math. Phys., 30:4 (1990), 47–56
Citation in format AMSBIB
\Bibitem{Bla90}
\by I.~A.~Blatov
\paper The projection method for singularly perturbed boundary value problems
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1990
\vol 30
\issue 7
\pages 1031--1044
\mathnet{http://mi.mathnet.ru/zvmmf3232}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1070548}
\zmath{https://zbmath.org/?q=an:0714.65073}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1990
\vol 30
\issue 4
\pages 47--56
\crossref{https://doi.org/10.1016/0041-5553(90)90043-R}
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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