Two condensed macro-elements with full approximation power
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Publication:963253
DOI10.1007/s10444-008-9110-7zbMath1190.41003OpenAlexW1967255740MaRDI QIDQ963253
Peter Alfeld, Larry L. Schumaker, Tatyana Sorokina
Publication date: 19 April 2010
Published in: Advances in Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10444-008-9110-7
condensed macro-elementfull approximation powerPowell-Sabin-12 macro-elementtrivariate macro element
Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Spline approximation (41A15)
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Multivariate splines and the Bernstein-Bézier form of a polynomial, A normalized basis for condensed \(\mathcal{C}^1\) Powell-Sabin-12 splines, \(C^1\) piecewise quadratic hierarchical bases
Cites Work
- Properties of \(n\)-dimensional triangulations
- Two tetrahedral \(C^1\) cubic macro elements
- A \(C^1\) quadratic trivariate macro-element space defined over arbitrary tetrahedral partitions
- A trivariate Clough-Tocher scheme for tetrahedral data
- Smooth macro-elements on Powell-Sabin-12 splits
- Spline Functions on Triangulations
- Scattered Data Interpolation: Tests of Some Method
- Piecewise Quadratic Approximations on Triangles
