The bivariate quadratic \(C^1\) spline spaces with stable dimensions on the triangulations
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Publication:1675402
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
triangulationdimensionbivariate spline spaceconformality conditionsmoothing cofactor conformity method
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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