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A construction of a bivariate C2 spline approximant with minimal degree on arbitrary triangulation

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  • Serghini, A.

Abstract

In this work, we use some results concerning the connection between blossoms and splines, especially those related to the smoothness conditions to develop an algorithm for constructing on an arbitrary triangulation a C2 spline approximant with minimal degree. Numerical tests are presented to illustrate the theoretical results.

Suggested Citation

  • Serghini, A., 2021. "A construction of a bivariate C2 spline approximant with minimal degree on arbitrary triangulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 358-371.
    • Handle: RePEc:eee:matcom:v:185:y:2021:i:c:p:358-371
    DOI: 10.1016/j.matcom.2021.01.004
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    References listed on IDEAS

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    1. Sbibih, D. & Serghini, A. & Tijini, A., 2015. "Superconvergent local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation," Applied Mathematics and Computation, Elsevier, vol. 250(C), pages 145-156.
    2. Lamnii, M. & Mraoui, H. & Tijini, A. & Zidna, A., 2014. "A normalized basis for C1 cubic super spline space on Powell–Sabin triangulation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 99(C), pages 108-124.
    3. Serghini, A. & Tijini, A., 2015. "Trivariate spline quasi-interpolants based on simplex splines and polar forms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 118(C), pages 343-359.
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