On the dimensions of bivariate spline spaces and the stability of the dimensions

DOI10.1016/j.cam.2011.05.045zbMath1232.41007OpenAlexW2044634859MaRDI QIDQ651912

Chong-Jun Li, Juan Chen

Publication date: 19 December 2011

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.2011.05.045

zbMATH Keywords

stabilitydimensionsingularitybivariate spline spacesmoothing cofactor-conformality method

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items (4)

On the dimension of spline spaces over T-meshes with smoothing cofactor-conformality method ⋮ Construction of Cubature Formulas via Bivariate Quadratic Spline Spaces over Non-Uniform Type-2 Triangulation ⋮ The quadrilateral Mindlin plate elements using the spline interpolation bases ⋮ The bivariate quadratic \(C^1\) spline spaces with stable dimensions on the triangulations

Cites Work

• Multivariate spline spaces
• 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
• Instability in the Dimension of Spaces of Bivariate Piecewise Polynomials of Degree $2r$ and Smoothness Order r
• A Note on the Dimension of the Bivariate Spline Space over the Morgan--Scott Triangulation
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the dimensions of bivariate spline spaces and the stability of the dimensions