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"
}