Smooth macro-elements on Powell-Sabin-12 splits

DOI10.1090/S0025-5718-05-01813-2zbMath1094.65012MaRDI QIDQ3376992

Tatyana Sorokina, Larry L. Schumaker

Publication date: 27 March 2006

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

bivariate macro-elementPowell-Sabin-12 split

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical interpolation (65D05) Multidimensional problems (41A63) Spline approximation (41A15)

Related Items

Quartic splines on Powell-Sabin triangulations, Special multivariate quadratic spline space, A Hermite interpolatory subdivision scheme for \(C^2\)-quintics on the Powell-Sabin 12-split, A normalized basis for condensed \(\mathcal{C}^1\) Powell-Sabin-12 splines, B-spline-like bases for \(C^2\) cubics on the Powell-Sabin 12-split, A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations, Hermite spline interpolation on a three direction mesh from Powell-Sabin and Hsieh-Clough-Tocher finite elements, Stable simplex spline bases for \(C^3\) quintics on the Powell-Sabin 12-split, Two condensed macro-elements with full approximation power, A bivariate \(C^1\) cubic super spline space on Powell-Sabin triangulation, A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines, Construction of \(C^2\) cubic splines on arbitrary triangulations, Simplex-splines on the Clough-Tocher split with arbitrary smoothness

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