A new finite element of \(C^ 1\) cubic splines

DOI10.1016/0377-0427(92)90186-2zbMath0770.41011OpenAlexW2060280585MaRDI QIDQ1196871

Junbin Gao

Publication date: 16 January 1993

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0377-0427(92)90186-2

zbMATH Keywords

spline interpolationBernstein-Bézier representationbivariate splinesMorgan-Scott triangulation\(C^ 1\) cubic splinesClough-Tocher splittingmicro-triangulationsPowell-Sabin splitting

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (1)

A \(C^ 2\) finite element and interpolation

Uses Software

• Algorithm 624

Cites Work

• The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
• Instability in the Dimension of Spaces of Bivariate Piecewise Polynomials of Degree $2r$ and Smoothness Order r
• Piecewise Quadratic Approximations on Triangles
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