Detail publikačního výsledku

Averaging of directional derivatives in vertices of nonobtuse regular triangulations

DALÍK, J.

Originální název

Averaging of directional derivatives in vertices of nonobtuse regular triangulations

Anglický název

Averaging of directional derivatives in vertices of nonobtuse regular triangulations

Druh

Článek recenzovaný mimo WoS a Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

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

Klíčová slova v angličtině

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

Autoři

DALÍK, J.

Rok RIV

2011

Vydáno

01.10.2010

Nakladatel

Springer-Verlag

Místo

Heidelberg

ISSN

0029-599X

Periodikum

NUMERISCHE MATHEMATIK

Svazek

2010 (116)

Číslo

10

Stát

Spolková republika Německo

Strany od

619

Strany do

644

Strany počet

26

BibTex

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