Superconvergent \(C^1\) cubic spline quasi-interpolants on Powell-Sabin partitions

DOI10.1007/s10543-014-0523-zzbMath1326.41005OpenAlexW2058858874MaRDI QIDQ747640

Ahmed Zidna, Abdelhafid Serghini, Ahmed Tijini, Driss Sbibih

Publication date: 19 October 2015

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10543-014-0523-z

zbMATH Keywords

splinesquasi-interpolationpolar formsPowell-Sabin partitions

Mathematics Subject Classification ID

Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Algorithms for approximation of functions (65D15)

Related Items (12)

Quartic splines on Powell-Sabin triangulations ⋮ A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation ⋮ Construction of a normalized basis of a univariate quadratic $C^1$ spline space and application to the quasi-interpolation ⋮ Three recipes for quasi-interpolation with cubic Powell-Sabin splines ⋮ A geometric characterization of Powell-Sabin triangulations allowing the construction of \(C^2\) quartic splines ⋮ A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines ⋮ Hermite spline interpolation on a three direction mesh from Powell-Sabin and Hsieh-Clough-Tocher finite elements ⋮ Multiquadric quasi-interpolation for integral functionals ⋮ Construction of superconvergent quasi-interpolants using new normalized \(C^2\) cubic B-splines ⋮ New approach to study splines by blossoming method and application to the construction of a bivariate \(C^1\) quartic quasi-interpolant ⋮ A new approach to deal with \(C^2\) cubic splines and its application to super-convergent quasi-interpolation ⋮ A super-superconvergent cubic spline quasi-interpolant

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