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JOURNALS // Trudy Instituta Matematiki i Mekhaniki UrO RAN // Archive

Trudy Inst. Mat. i Mekh. UrO RAN, 2018 Volume 24, Number 4, Pages 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

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.

UDC: 517.51

MSC: 65D05

Received: 18.09.2018
Revised: 18.10.2018
Accepted: 22.10.2018

DOI: 10.21538/0134-4889-2018-24-4-80-84


 English version:
Proceedings of the Steklov Institute of Mathematics (Supplementary issues), 2020, 308, suppl. 1, S31–S34

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© Steklov Math. Inst. of RAS, 2024