Non-Sibsonian interpolation on arbitrary system of points in Euclidean space and adaptive isolines generation
type: Item
instance of: scholarly article
title: Non-Sibsonian interpolation on arbitrary system of points in Euclidean space and adaptive isolines generation
zbMATH Open document ID: 0947.65008
DOI: 10.1016/S0168-9274(99)00058-6
author: V. V. Belikov
author: A. Yu. Semenov
published in: Applied Numerical Mathematics
publication date: 2000-10-22T00:00:00Z
review text: A new method for function interpolation on a set of arbitrary points in a finite-dimensional Euclidean space \(\mathbb E^n\) is presented. The properties of the new method are described including a specific ''harmonic'' property. A comparison with the Sibson interpolation and with the interpolation based on the Delaunay triangulation are reviewed. The authors present a compact algorithm for the construction of higher-order interpolation and describe the results obtained by applying the effective algorithm of isolines generation based on non-Sibsonian interpolation and Delaunay triangulation. Numerical results of isolines generation are presented for tests and for results obtained in the field of fluid dynamics modelling.
Mathematics Subject Classification ID: 65D05
Mathematics Subject Classification ID: 41A05
Mathematics Subject Classification ID: 41A63
zbMATH DE Number: 1437643
zbMATH Keywords: non-Sibsonian interpolation
zbMATH Keywords: Delaunay triangulation
zbMATH Keywords: adaptive isolines generation
reviewed by: Karel Najzar
MaRDI profile type: Publication
full work available at URL: s0168-9274(99)00058-6
OpenAlex ID: W2046370113
Wikidata QID: Q127360255
description: scientific article; zbMATH DE number 1437643