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Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki, 2011, Issue 3, Pages 64–74 (Mi vuu283)  
This article is cited in 3 scientific papers (total in 3 papers)

MATHEMATICS

Independence of interpolation error estimates by fourth-degree polynomials on angles in a triangle

N. V. Latypova

Department of Mathematical Analysis, Udmurt State University, Izhevsk, Russia
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Abstract: The paper considers two methods of Birkhoff-type triangle-based interpolation of two-variable function by fourth-degree polynomials for the finite element method. The error estimates for the given elements depend only on the decomposition diameter, and do not depend on triangulation angles. We show that the estimates obtained are unimprovable.
Keywords: error of interpolation, piecewise polynomial function, triangulation, finite element method.
Received: 25.02.2011
Document Type: Article
UDC: 517.518
MSC: 41A05
Language: Russian
Citation: N. V. Latypova, “Independence of interpolation error estimates by fourth-degree polynomials on angles in a triangle”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2011, no. 3, 64–74
Citation in format AMSBIB
\Bibitem{Lat11}
\by N.~V.~Latypova
\paper Independence of interpolation error estimates by fourth-degree polynomials on angles in a~triangle
\jour Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki
\yr 2011
\issue 3
\pages 64--74
\mathnet{http://mi.mathnet.ru/vuu283}
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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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    		Вестник Удмуртского университета. Математика. Механика. Компьютерные науки
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