Stability of Optimal-Order Approximation by Bivariate Splines over Arbitrary Triangulations

DOI10.2307/2155012zbMath0841.41017OpenAlexW4229556912MaRDI QIDQ4875782

Dong Hong, Rong-Qing Jia, Charles K. Chui

Publication date: 16 July 1996

Full work available at URL: https://doi.org/10.2307/2155012

zbMATH Keywords

stabilitytriangulationrepresentationsapproximation orderlocal basesbivariate splines\(B\)-net representations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Rate of convergence, degree of approximation (41A25) Spline approximation (41A15)

Related Items

Macro-elements and stable local bases for splines on Powell-Sabin triangulations, Recursive computation of bivariate Hermite spline interpolants, A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation, Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations, Bivariate spline interpolation with optimal approximation order, Stable local bases for multivariate spline spaces, Some new formulations of smoothness conditions and conformality conditions for bivariate splines, Optimal-order approximation by mixed three-directional spline elements, Interpolation by spline spaces on classes of triangulations, Approximation order of bivariate spline interpolation for arbitrary smoothness, Developments in bivarite spline interpolation, Error estimates in \(W^{2,\infty}\)-semi-norms for discrete interpolating \(D^2\)-splines

Cites Work

• On bivariate super vertex splines
• A sharp upper bound on the approximation order of smooth bivariate pp functions
• Approximation power of smooth bivariate pp functions
• Interpolation polynomials on the triangle
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