Interpolation by C1 Splines of Degree q 4 on Triangulations

Davydov, Oleg V. ; Nürnberger, Günther

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URN: urn:nbn:de:bsz:180-madoc-20654
Document Type: Working paper
Year of publication: 1999
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 41A63 41A15 ,
Subject headings (SWD): Bivariater Spline , Interpolation
Keywords (English): Bivariate splines , Interpolation
Abstract: Let Δ be an arbitrary regular triangulation of a simply connected compact polygonal domain Ω ⊂ IR² and let S1q (Δ) denote the space of bivariate polynomial splines of degree q and smoothness 1 with respect to Δ. We develop an algorithm for constructing point sets admissible for Lagrange interpolation by S1q (Δ) if q ≥ 4. In the case q
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