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Trudy Instituta Matematiki i Mekhaniki UrO RAN, 2018, Volume 24, Number 4, Pages 80–84
DOI: https://doi.org/10.21538/0134-4889-2018-24-4-80-84
(Mi timm1575)
 

Linear Interpolation on a Tetrahedron

N. V. Baidakova

Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
References:
Abstract: The standard method for the linear interpolation on a tetrahedron of a function with continuous second-order partial derivatives bounded by a given constant is considered. Estimates of the approximation of first-order derivatives that are more exact than the known estimates are derived.
Keywords: multidimensional interpolation, finite elements.
Funding agency Grant number
Russian Science Foundation 14-11-00702
This work was supported by the Russian Science Foundation (project no. 14-11-00702).
Received: 18.09.2018
Revised: 18.10.2018
Accepted: 22.10.2018
English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2020, Volume 308, Issue 1, Pages S31–S34
DOI: https://doi.org/10.1134/S0081543820020030
Bibliographic databases:
Document Type: Article
UDC: 517.51
MSC: 65D05
Language: Russian
Citation: N. V. Baidakova, “Linear Interpolation on a Tetrahedron”, Trudy Inst. Mat. i Mekh. UrO RAN, 24, no. 4, 2018, 80–84; Proc. Steklov Inst. Math. (Suppl.), 308, suppl. 1 (2020), S31–S34
Citation in format AMSBIB
\Bibitem{Bai18}
\by N.~V.~Baidakova
\paper Linear Interpolation on a Tetrahedron
\serial Trudy Inst. Mat. i Mekh. UrO RAN
\yr 2018
\vol 24
\issue 4
\pages 80--84
\mathnet{http://mi.mathnet.ru/timm1575}
\crossref{https://doi.org/10.21538/0134-4889-2018-24-4-80-84}
\elib{https://elibrary.ru/item.asp?id=36517699}
\transl
\jour Proc. Steklov Inst. Math. (Suppl.)
\yr 2020
\vol 308
\issue , suppl. 1
\pages S31--S34
\crossref{https://doi.org/10.1134/S0081543820020030}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000464575200005}
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