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Local Lagrange interpolation by quintic \(C^1\) splines on type-6 tetrahedral partitions

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Publication:651108
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DOI10.1016/j.cam.2011.07.029zbMath1231.65025OpenAlexW81081493MaRDI QIDQ651108

M. Rhein, Georg Schneider, Günther Nürnberger

Publication date: 8 December 2011

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2011.07.029


zbMATH Keywords

interpolationstabilityerror boundsapproximation orderlinear complexitytrivariate splines


Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Rate of convergence, degree of approximation (41A25) Complexity and performance of numerical algorithms (65Y20)




Cites Work

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  • A new kind of trivariate \(C^1\) macro-element
  • \(C^1\) quintic splines on type-4 tetrahedral partitions
  • Dimension of \(C^1\)-splines on type-6 tetrahedral partitions
  • Local Lagrange interpolation using cubic \(C^{1}\) splines on type-4 cube partitions
  • Local Lagrange interpolation with cubic \(C^{1}\) splines on tetrahedral partitions
  • 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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