Publication result detail

Approximations of the partial derivatives by averaging

DALÍK, J.

Original Title

Approximations of the partial derivatives by averaging

English Title

Approximations of the partial derivatives by averaging

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

Key words in English

Regular simplicial triangulation, Lagrange finite element, averaging the partial derivatives, high-order approximations

Authors

DALÍK, J.

RIV year

2013

Released

01.02.2012

Publisher

Versita Ltd, 78 York Street, London W1H 1DP, Great Britain

Location

London

ISBN

1895-1074

Periodical

Central European Journal of Mathematics

Volume

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="Central European Journal of Mathematics",
  year="2012",
  volume="10",
  number="1",
  pages="44--54",
  issn="1895-1074"
}