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JOURNALS // Vestnik Udmurtskogo Universiteta. Matematika. Mekhanika. Komp'yuternye Nauki // Archive

Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009 Issue 3, Pages 91–97 (Mi vuu28)

This article is cited in 5 papers

MATHEMATICS

Error of interpolation by a piecewise parabolic polynomial on a triangle

N. V. Latypova

Udmurt State University

Abstract: This paper is devoted to analysing the interpolation of the function of two variables by a parabolic polynomial on a triangle for the finite element method. The estimates of error for a given piecewise parabolic polynomial depend only on the diameter of restricted partition and don't depend on the angles of triangulation.

Keywords: error of interpolation, piecewise parabolic polynomial, triangulation, finite element method.

UDC: 517.518

MSC: 41A05

Received: 08.08.2008



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