Journal article

Publication year: 2000

Pages: 159-183

Journal: Journal of Computational and Applied Mathematics

Volume number: 126

Issue number: 1-2

ISSN: 0377-0427

eISSN: 1879-1778

Open access status: Green

DOI Link: https://doi.org/10.1016/S0377-0427(99)00350-7

Publisher: Elsevier

Abstract: 
Let Delta be an arbitrary regular triangulation of a simply connected compact polygonal domain Omega subset of R-2 and let S-q(l)(Delta) denote the space of bivariate polynomial splines of degree a and smoothness 1 with respect to d. We develop an algorithm for constructing point sets admissible for Lagrange interpolation by S-q(l)(Delta) if q greater than or equal to4. In the case q = 4 it may be necessary to slightly modify Delta, but only if exceptional constellations of triangles occur. Hermite interpolation schemes are obtained as limits of the Lagrange interpolation sets. (C) 2000 Elsevier Science B.V. All rights reserved. MSG: 41A15; 41A63.

Harvard Citation style: Davydov, O. and Nürnberger, G. (2000) Interpolation by C^l splines of degree q≥4 on triangulations, Journal of Computational and Applied Mathematics, 126(1-2), pp. 159-183. https://doi.org/10.1016/S0377-0427(99)00350-7

APA Citation style: Davydov, O., & Nürnberger, G. (2000). Interpolation by C^l splines of degree q≥4 on triangulations. Journal of Computational and Applied Mathematics. 126(1-2), 159-183. https://doi.org/10.1016/S0377-0427(99)00350-7