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Sib. Èlektron. Mat. Izv., 2016, Volume 13, Pages 799–814 (Mi semr714)  

Computational mathematics

An algorithm for constructing a finite element of the third degree

N. V. Baidakova

Krasovskii Institute of Mathematics and Mechanics, ul. S.Kovalevskoi, 16, 620990, Ekaterinburg, Russia

Abstract: The article presents an algorithm of setting Hermite interpolation conditions in tetrahedra of triangulated area in order to obtain a continuous piecewise-polynomial function. The use of the obtained finite element space requires additional restrictions on triangulation as compared with the space under construction using Lagrange interpolation, but the obtained finite element space has a smaller dimension.

Keywords: multidimensional interpolation, finite elements.

Funding Agency Grant Number
Russian Science Foundation 14-11-00702


DOI: https://doi.org/10.17377/semi.2016.13.064

Full text: PDF file (203 kB)
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Bibliographic databases:

UDC: 517.51
MSC: 41A63
Received May 23, 2016, published September 30, 2016

Citation: N. V. Baidakova, “An algorithm for constructing a finite element of the third degree”, Sib. Èlektron. Mat. Izv., 13 (2016), 799–814

Citation in format AMSBIB
\Bibitem{Bai16}
\by N.~V.~Baidakova
\paper An algorithm for constructing a finite element of the third degree
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 799--814
\mathnet{http://mi.mathnet.ru/semr714}
\crossref{https://doi.org/10.17377/semi.2016.13.064}


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