Local Lagrange interpolation using cubic \(C^{1}\) splines on type-4 cube partitions

DOI10.1016/j.jat.2009.07.009zbMath1193.41009OpenAlexW2044671404MaRDI QIDQ968954

Michael A. Matt, Günther Nürnberger

Publication date: 11 May 2010

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2009.07.009

zbMATH Keywords

Lagrange interpolationtrivariate splinestype-4 partitions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

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Cites Work

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• Lagrange interpolation by \(C^1\) cubic splines on triangulated quadrangulations
• Lagrange interpolation by bivariate \(C^1\)-splines with optimal approximation order
• \(C^1\) quintic splines on type-4 tetrahedral partitions
• Local Lagrange interpolation with bivariate splines of arbitrary smoothness
• An \(n\)-dimensional Clough-Tocher interpolant
• Smooth macro-elements based on Clough-Tocher triangle splits
• A Markov inequality in several dimensions
• Spline Functions on Triangulations
• A local Lagrange interpolation method based on $C^{1}$ cubic splines on Freudenthal partitions

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