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Bivariate variational splines with monotonicity constraints

Author

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  • Kouibia, A.
  • Pasadas, M.

Abstract

We present an approximation method of surfaces preserving the monotonicity constraints. By minimizing a semi-norm and monotonicity criteria we define the notion of the pseudo-monotone interpolating variational spline in a finite element space. We compute this spline by using a suitable algorithm. Some convergence results are carefully studied. Finally, to show the effectiveness of this method we give some numerical and graphical examples.

Suggested Citation

  • Kouibia, A. & Pasadas, M., 2008. "Bivariate variational splines with monotonicity constraints," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 77(2), pages 228-236.
    • Handle: RePEc:eee:matcom:v:77:y:2008:i:2:p:228-236
    DOI: 10.1016/j.matcom.2007.08.004
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    Cited by:

    1. Abdelouahed Kouibia & Miguel Pasadas & Loubna Omri, 2024. "A Shape-Preserving Variational Spline Approximation Problem for Hole Filling in Generalized Offset Surfaces," Mathematics, MDPI, vol. 12(11), pages 1-11, June.

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