Publication result detail

Optimal-order Quadratic Interpolation in Vertices of Unstructured Triangulations

DALÍK, J.

Original Title

Optimal-order Quadratic Interpolation in Vertices of Unstructured Triangulations

English Title

Optimal-order Quadratic Interpolation in Vertices of Unstructured Triangulations

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

The problem of quadratic interpolation of smooth functions in two variables in nodes which are vertices of unstructured triangulations is studied. Every vertex of a triangulation from an extensive class of triangulations is shown to belong to a local six-tuple of vertices in which the problem of quadratic Lagrange interpolation is solvable uniquely with an error of optimal order.

English abstract

The problem of quadratic interpolation of smooth functions in two variables in nodes which are vertices of unstructured triangulations is studied. Every vertex of a triangulation from an extensive class of triangulations is shown to belong to a local six-tuple of vertices in which the problem of quadratic Lagrange interpolation is solvable uniquely with an error of optimal order.

Keywords

interpolation of functions in two variables; strongly regular classes of triangulations; poised sets of vertices

Key words in English

interpolation of functions in two variables; strongly regular classes of triangulations; poised sets of vertices

Authors

DALÍK, J.

RIV year

2010

Released

26.11.2008

Publisher

Institute of Mathematics, Academy of Sciences of the Czech Republic

Location

Žitná 25, 115 67 Praha 1

ISBN

0862-7940

Periodical

Applications of Mathematics

Volume

2008 (53)

Number

6

State

Czech Republic

Pages from

547

Pages to

560

Pages count

14

BibTex

@article{BUT47347,
  author="Josef {Dalík}",
  title="Optimal-order Quadratic Interpolation in Vertices of Unstructured Triangulations",
  journal="Applications of Mathematics",
  year="2008",
  volume="2008 (53)",
  number="6",
  pages="547--560",
  issn="0862-7940"
}