This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
M. Zlamal and A. Zenisek, “Mathematical aspects of the finite element method,” in: V. Kolar, J. Kratochvil, M. Zlamal, and A. Zenisek, Technical, Physical, and Mathematical Principles of the Finite Element Method, Acad. VED, Prague (1971), pp. 15–39.
P. M. Prenter, Splines and Variational Methods, Wiley-Interscience, New York (1975).
P. G. Ciarlet and P. A. Raviart, “General Lagrange and Hermite interpolation in Rn with applications to finite element methods,” Arch. Rational Mech. Anal.,46, No. 3, 177–199 (1972).
Yu. N. Subbotin, “The dependence of estimates of a multidimensional piecewise-polynomial approximation on the geometric characteristics of a triangulation,” Tr. Mat. Inst. Akad. Nauk SSSR,189, 117–137 (1989).
I. S. Berezin and N. P. Zhidkov, Computing Methods, Vol. I, Pergamon Press, Oxford (1965).
Philippe G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam (1978).
Translated from Matematicheskie Zametki, Vol. 48, No. 4, pp. 88–99, October, 1990.
I express my gratitude to N. I. Chernykh for reading the manuscript and making a series of valuable remarks, contributing to its improvement.
About this article
Cite this article
Subbotin, Y.N. Error of the approximation by interpolation polynomials of small degrees on n-simplices. Mathematical Notes of the Academy of Sciences of the USSR 48, 1030–1037 (1990). https://doi.org/10.1007/BF01139604
- Small Degree
- Interpolation Polynomial