New Estimates of the Error of Approximation of Derivatives under Interpolation of a Function on a Triangle by Polynomials of the Third Degree

被引：1

作者：

Baidakova, N. V. ^{[1
,2
]}

机构：

[1] RAS, UB, Sci, Ekaterinburg, Russia

[2] RAS, UB, Inst Math & Mech, Ekaterinburg, Russia

来源：

IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2013年 / 13卷 / 01期

关键词：

multidimensional interpolation; finite element method;

D O I：

10.18500/1816-9791-2013-13-1-2-15-19

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：15 / 19

页数：5

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