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This article is cited in 4 scientific papers (total in 4 papers)
Mathematics
New Estimates of the Error of Approximation of Derivatives under Interpolation of a Function on a Triangle by Polynomials of the Third Degree
N. V. Baidakova Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
Abstract:
We consider a method of interpolation by polynomials of the third degree which gives continuity of the resulting piecewise polynomial function on the triangulated domain. We get improved estimates for the error of approximation of derivatives of order 3 and keep accuracy of other estimates.
Key words:
multidimensional interpolation, finite element method.
Citation:
N. V. Baidakova, “New Estimates of the Error of Approximation of Derivatives under Interpolation of a Function on a Triangle by Polynomials of the Third Degree”, Izv. Saratov Univ. Math. Mech. Inform., 13:1(2) (2013), 15–19
Linking options:
https://www.mathnet.ru/eng/isu364 https://www.mathnet.ru/eng/isu/v13/i2/p15
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