Publication detail
Approximations of the partial derivatives by averaging
DALÍK, J.
Original Title
Approximations of the partial derivatives by averaging
Type
journal article - other
Language
English
Original Abstract
A straightforward generalization of a classical method of averaging is presented and its essential characteristics are discussed. The method constructs high-order approximations of l-th partial derivatives of smooth functions in inner vertices of conformal simplicial triangulations of bounded polytopic domains of arbitrary dimensions d > 1. For any k >= l >= 1, it uses the interpolants of u in the polynomial Lagrange finite element spaces of degree k on the simplices with vertex a only.
Keywords
Regular simplicial triangulation, Lagrange finite element, averaging the partial derivatives, high-order approximations
Authors
DALÍK, J.
RIV year
2012
Released
1. 2. 2012
Publisher
Versita Ltd, 78 York Street, London W1H 1DP, Great Britain
Location
London
ISBN
1895-1074
Periodical
CENT EUR J MATH
Year of study
10
Number
1
State
Republic of Poland
Pages from
44
Pages to
54
Pages count
11
BibTex
@article{BUT75469,
author="Josef {Dalík}",
title="Approximations of the partial derivatives by averaging",
journal="CENT EUR J MATH",
year="2012",
volume="10",
number="1",
pages="44--54",
issn="1895-1074"
}