Polynomial splines of non-uniform degree on triangulations: combinatorial bounds on the dimension

DOI10.1016/j.cagd.2019.07.002zbMath1470.65018OpenAlexW2965713317MaRDI QIDQ2010348

Deepesh Toshniwal, Thomas J. R. Hughes

Publication date: 27 November 2019

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cagd.2019.07.002

zbMATH Keywords

splinestriangulationsdimension formulamixed smoothnessmixed polynomial degrees

Mathematics Subject Classification ID

Numerical computation using splines (65D07)

Related Items (5)

Dimension of polynomial splines of mixed smoothness on T-meshes ⋮ Polynomial spline spaces of non-uniform bi-degree on T-meshes: combinatorial bounds on the dimension ⋮ Counting the dimension of splines of mixed smoothness. A general recipe, and its application to planar meshes of arbitrary topologies ⋮ Construction of \(C^2\) cubic splines on arbitrary triangulations ⋮ Simplex-splines on the Clough-Tocher split with arbitrary smoothness

Uses Software

• Macaulay2

Cites Work

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