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Error of the approximation by interpolation polynomials of small degrees on n-simplices

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Literature cited

  1. 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.

    Google Scholar 

  2. P. M. Prenter, Splines and Variational Methods, Wiley-Interscience, New York (1975).

    Google Scholar 

  3. 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).

    Google Scholar 

  4. 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).

    Google Scholar 

  5. I. S. Berezin and N. P. Zhidkov, Computing Methods, Vol. I, Pergamon Press, Oxford (1965).

    Google Scholar 

  6. Philippe G. Ciarlet, The Finite Element Method for Elliptic Problems, North-Holland, Amsterdam (1978).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch, Academy of Sciences of the USSR, USSR

    Yu. N. Subbotin

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  1. Yu. N. Subbotin
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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.

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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

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