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Developments in bivariate spline interpolation

Journal

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
Volume 121, Issue 1-2, Pages 125-152

Publisher

ELSEVIER
DOI: 10.1016/S0377-0427(00)00346-0

Keywords

bivariate splines; interpolation; dimension; approximation order; finite elements; macro elements; Bezier-Bernstein techniques; triangulation

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The aim of this survey is to describe developments in the field of interpolation by bivariate splines. We summarize results on the dimension and the approximation order of bivariate spline spaces, and describe interpolation methods for these spaces. Moreover, numerical examples are given. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 41A05; 41A15; 41A25; 65D05; 65D07; 65D17; 41A63.

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