Bivariate variational splines with monotonicity constraints

A. Kouibia and M. Pasadas

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 77, issue 2, 228-236

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.

Keywords: Monotonicity; Interpolating surfaces; Splines; Finite element (search for similar items in EconPapers)
Date: 2008
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:77:y:2008:i:2:p:228-236

DOI: 10.1016/j.matcom.2007.08.004

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