Detail publikace
Approximations of the partial derivatives by averaging
DALÍK, J.
Originální název
Approximations of the partial derivatives by averaging
Typ
článek v časopise - ostatní, Jost
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Regular simplicial triangulation, Lagrange finite element, averaging the partial derivatives, high-order approximations
Autoři
DALÍK, J.
Rok RIV
2012
Vydáno
1. 2. 2012
Nakladatel
Versita Ltd, 78 York Street, London W1H 1DP, Great Britain
Místo
London
ISSN
1895-1074
Periodikum
CENT EUR J MATH
Ročník
10
Číslo
1
Stát
Polská republika
Strany od
44
Strany do
54
Strany počet
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"
}