The bivariate quadratic \(C^1\) spline spaces with stable dimensions on the triangulations

DOI10.1016/j.cam.2017.06.009zbMath1376.65012OpenAlexW2624684107MaRDI QIDQ1675402

Jian-Ping Zhou, Chong-Jun Li, Ren-Hong Wang

Publication date: 27 October 2017

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.2017.06.009

zbMATH Keywords

triangulationdimensionbivariate spline spaceconformality conditionsmoothing cofactor conformity method

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Spline approximation (41A15)

Cites Work

• On the dimensions of bivariate spline spaces and the stability of the dimensions
• On the instability in the dimension of splines spaces over T-meshes
• Bounds on the dimension of spaces of multivariate piecewise polynomials
• The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
• The singularity of Morgan-Scott triangulation
• Parallel concepts in graph theory
• Dimensions of spline spaces over T-meshes
• On the Problem of Instability in the Dimensions of Spline Spaces over T-Meshes with T-Cycles
• Instability in the Dimension of Spaces of Bivariate Piecewise Polynomials of Degree $2r$ and Smoothness Order r
• An Explicit Basis for $C^1 $ Quartic Bivariate Splines
• A Note on the Dimension of the Bivariate Spline Space over the Morgan--Scott Triangulation
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