B-spline-like bases for \(C^2\) cubics on the Powell-Sabin 12-split
From MaRDI portal
Publication:2178664
DOI10.5802/smai-jcm.56zbMath1439.41004arXiv1901.06885OpenAlexW3003720127WikidataQ125358124 ScholiaQ125358124MaRDI QIDQ2178664
Publication date: 11 May 2020
Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.06885
Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)
Related Items
A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation, B-spline-like bases for \(C^2\) cubics on the Powell-Sabin 12-split, Argyris type quasi-interpolation of optimal approximation order, Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision
Cites Work
- Stable simplex spline bases for \(C^3\) quintics on the Powell-Sabin 12-split
- A normalized basis for quintic Powell-Sabin splines
- Simplex-splines on the Clough-Tocher element
- On calculating normalized Powell-Sabin B-splines
- Bézier and B-spline techniques
- Construction and analysis of cubic Powell-Sabin B-splines
- Refinable \(C^2\) piecewise quintic polynomials on Powell-Sabin-12 triangulations
- B-spline-like bases for \(C^2\) cubics on the Powell-Sabin 12-split
- A Hermite interpolatory subdivision scheme for \(C^2\)-quintics on the Powell-Sabin 12-split
- A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines
- Smooth macro-elements on Powell-Sabin-12 splits
- Spline Functions on Triangulations
- Hierarchical Conforming Finite Element Methods for the Biharmonic Equation
- Piecewise Quadratic Approximations on Triangles
- Isogeometric Analysis
- Macro-elements and stable local bases for splines on Powell-Sabin triangulations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
