Multivariate $$C^1$$-Continuous Splines on the Alfeld Split of a Simplex

DOI10.1007/978-3-319-06404-8_16zbMath1326.41015OpenAlexW109945202MaRDI QIDQ2950613

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Publication date: 9 October 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-06404-8_16

zbMATH Keywords

multivariate splineminimal determining setAlfeld split

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (5)

Splines in geometry and topology ⋮ Splines on the Alfeld split of a simplex and type A root systems ⋮ Bounds on the dimension of trivariate spline spaces: a homological approach ⋮ A Reynolds-robust preconditioner for the Scott-Vogelius discretization of the stationary incompressible Navier-Stokes equations ⋮ Exact smooth piecewise polynomial sequences on Alfeld splits

Cites Work

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• Intrinsic supersmoothness of multivariate splines
• A \(C^1\) multivariate Clough-Tocher interpolant
• A trivariate Clough-Tocher scheme for tetrahedral data
• On dimension and existence of local bases for multivariate spline spaces
• Local cohomology of bivariate splines
• A dimension series for multivariate splines
• Spline Functions on Triangulations
• Homology of Smooth Splines: Generic Triangulations and a Conjecture of Strang

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