Approximation of patches by \(\mathcal C^r\)-finite elements of Powell-Sabin type

DOI10.1016/j.cam.2013.03.021zbMath1288.65018OpenAlexW2048268523MaRDI QIDQ2453147

Yanyan Li

Publication date: 6 June 2014

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.2013.03.021

zbMATH Keywords

splinesapproximationpatchesminimal energyPowell-Sabin

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

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• \(C^ r\)-finite elements of Powell-Sabin type on the three direction mesh
• Filling polygonal holes with minimal energy surfaces on Powell-Sabin type triangulations
• Approximation order of bivariate spline interpolation for arbitrary smoothness
• Almost sure convergence of smoothing \(D^ m\)-splines of noisy data
• Approximation by discrete variational splines
• Minimal energy \(C^r\)-surfaces on uniform Powell-Sabin type meshes. Estimation of the smoothing parameters
• Theoretical Numerical Analysis
• Error Bounds for Hermite Interpolation by Quadratic Splines on an  -Triangulation
• Piecewise Quadratic Approximations on Triangles

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