For citation:
Kupriyanova Y. V., Lukomskii S. F. On optimal choice of interpolation spline on triangular net. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2005, vol. 5, iss. 1, pp. 26-33. DOI: 10.18500/1816-9791-2005-5-1-26-33, EDN: JSJNYE
This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online:
30.09.2005
Full text:
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Language:
Russian
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UDC:
517.5
EDN:
JSJNYE
On optimal choice of interpolation spline on triangular net
Autors:
Kupriyanova Yulia Vasil'evna, Saratov State University
Lukomskii Sergei Feodorovich, Saratov State University
Abstract:
In this paper we find a Hermite Spline on atriangle for the approximation error of its derivatives with respect to a side of this triangle are inversely proportional to length of this side.
Key words:
References:
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- Zenisek A. Polynomial approximation on tetrahedrons in the finite element method. // J. Approx. Theory. 1973. № 7. P. 334–351.
- Zenisek A., Zlamanova J. The finite element method with semiregular Hermite cubic tetrahedral elements // Algorithm 2000: Proc. of the 15th Conf. of Sci. Computing. Vysoke Tatry – Podbanske, Slovakia, 2000. P. 420–429.
- Baidakova N. V. On some interpolation process by polynomials of degree at most 4m+1 on the triangle // Rus. J. on num. anal. and math. modeling. 1999. V. 14. № 2. P. 87–107.
Received:
09.03.2005
Accepted:
19.08.2005
Published:
30.09.2005
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