Publication detail

Averaging of directional derivatives in vertices of nonobtuse regular triangulations

DALÍK, J.

Original Title

Averaging of directional derivatives in vertices of nonobtuse regular triangulations

Type

journal article - other

Language

English

Original Abstract

An effective procedure for the approximation of directional derivatives of smooth functions in the vertices of nonobtuse regular triangulations is presented. It is proved that the errors of the resulting approximations are of the second order. Numerical experiments illustrate that the accuracy of these approximations is on the level of the accuracies of the best approximations by other methods known from the literature.

Keywords

nonobtuse shape-regular triangulation; second-order approximation of directional derivatives in the vertices; recovery operator

Authors

DALÍK, J.

RIV year

2010

Released

1. 10. 2010

Publisher

Springer-Verlag

Location

Heidelberg

ISBN

0029-599X

Periodical

Numerische Mathematic

Year of study

2010 (116)

Number

10

State

Federal Republic of Germany

Pages from

619

Pages to

644

Pages count

26

BibTex

@article{BUT49883,
  author="Josef {Dalík}",
  title="Averaging of directional derivatives in vertices of nonobtuse regular triangulations",
  journal="Numerische Mathematic",
  year="2010",
  volume="2010 (116)",
  number="10",
  pages="619--644",
  issn="0029-599X"
}