Refinable \(C^2\) piecewise quintic polynomials on Powell-Sabin-12 triangulations

DOI10.1016/j.cam.2012.08.006zbMath1255.65036OpenAlexW2157901775MaRDI QIDQ1931479

O. V. Davydov, Wee Ping Yeo

Publication date: 14 January 2013

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.2012.08.006

zbMATH Keywords

macro-elementsbivariate \(C^{2}\) spline spacesPowell-Sabin-12 splitrefinable spline spaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07)

Related Items (8)

Quartic splines on Powell-Sabin triangulations ⋮ A Hermite interpolatory subdivision scheme for \(C^2\)-quintics on the Powell-Sabin 12-split ⋮ B-spline-like bases for \(C^2\) cubics on the Powell-Sabin 12-split ⋮ Stable simplex spline bases for \(C^3\) quintics on the Powell-Sabin 12-split ⋮ Solving the triharmonic equation over multi-patch planar domains using isogeometric analysis ⋮ \(C^1\) piecewise quadratic hierarchical bases ⋮ Interpolation with \(C^2\) quartic macro-elements based on \(10\)-splits ⋮ Simplex-splines on the Clough-Tocher split with arbitrary smoothness

This page was built for publication: Refinable \(C^2\) piecewise quintic polynomials on Powell-Sabin-12 triangulations