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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 7, Pages 22–34 (Mi ivm3042)  
This article is cited in 3 scientific papers (total in 3 papers)

High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval

A. D. Lyashko, Sh. I. Tayupov, M. R. Timerbaev

Chair of Computational Mathematics, Kazan State University, Kazan, Russia
Full-text PDF (231 kB) Citations (3)
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Abstract: In this paper for the finite element method for systems of degenerate elliptic equations we develop high-accuracy schemes based on multiplicative singularity detection. We prove theorems about the smoothness of a solution. Based on these theorems we estimate the error of the proposed method.
Keywords: finite element method, degenerate elliptical equation, Sobolev space.
Received: 12.04.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 7, Pages 17–27
DOI: https://doi.org/10.3103/S1066369X09070032
Bibliographic databases:
UDC: 519.632
Language: Russian
Citation: A. D. Lyashko, Sh. I. Tayupov, M. R. Timerbaev, “High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 7, 22–34; Russian Math. (Iz. VUZ), 53:7 (2009), 17–27
Citation in format AMSBIB
\Bibitem{LyaTayTim09}
\by A.~D.~Lyashko, Sh.~I.~Tayupov, M.~R.~Timerbaev
\paper High-accuracy schemes of the finite element method for systems of degenerate elliptic equations on an interval
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 7
\pages 22--34
\mathnet{http://mi.mathnet.ru/ivm3042}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2584202}
\zmath{https://zbmath.org/?q=an:1181.65141}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 7
\pages 17--27
\crossref{https://doi.org/10.3103/S1066369X09070032}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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