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Zapiski Nauchnykh Seminarov POMI, 2007, Volume 346, Pages 149–159 (Mi znsl93)  

This article is cited in 2 scientific papers (total in 2 papers)

A finite element method for solving singular boundary-value problems

M. N. Yakovlev

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
Full-text PDF (144 kB) Citations (2)
References:
Abstract: It is proved that under certain assumptions on the functions $q(t)$ and $f(t)$, there is one and only one function $u_0(t)\in\overset{o}W{}^1_2(a,b)$ at which the functional
$$ \int^b_a[u'(t)]^2 dt+\int^b_a q(t)u^2(t)dt-2\int^b_a f(t)u(t)dt $$
attains its minimum. An error bound for the finite element method for computing the function $u_0(t)$ in terms of $q(t)$, $f(t)$, and the meshsize $h$ is presented.
Received: 31.05.2007
English version:
Journal of Mathematical Sciences (New York), 2008, Volume 150, Issue 2, Pages 1998–2004
DOI: https://doi.org/10.1007/s10958-008-0115-z
Bibliographic databases:
UDC: 512
Language: Russian
Citation: M. N. Yakovlev, “A finite element method for solving singular boundary-value problems”, Computational methods and algorithms. Part XX, Zap. Nauchn. Sem. POMI, 346, POMI, St. Petersburg, 2007, 149–159; J. Math. Sci. (N. Y.), 150:2 (2008), 1998–2004
Citation in format AMSBIB
\Bibitem{Yak07}
\by M.~N.~Yakovlev
\paper A finite element method for solving singular boundary-value problems
\inbook Computational methods and algorithms. Part~XX
\serial Zap. Nauchn. Sem. POMI
\yr 2007
\vol 346
\pages 149--159
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl93}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2469446}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2008
\vol 150
\issue 2
\pages 1998--2004
\crossref{https://doi.org/10.1007/s10958-008-0115-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-41149101966}
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  • https://www.mathnet.ru/eng/znsl/v346/p149
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Записки научных семинаров ПОМИ
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    Full-text PDF :104
    References:39
     
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