N.V. Baidakova. Linear interpolation on a tetrahedron ... P. 80-84

Full text (in Russian)

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

Received September 18, 2018

Revised October 18, 2018

Accepted October 22, 2018

Funding Agency: This work was supported by the Russian Science Foundation (project no. 14-11-00702).

Nataliya Vasil’evna Baidakova, Cand. Sci. (Phis.-Math.), Krasovskii Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Yekaterinburg, 620990 Russia, e-mail: baidakova@imm.uran.ru

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