Superconvergent local quasi-interpolants based on special multivariate quadratic spline space over a refined quadrangulation

D. Sbibih, A. Serghini and A. Tijini

Applied Mathematics and Computation, 2015, vol. 250, issue C, 145-156

Abstract: In this paper, we first recall some results concerning the construction and the properties of quadratic B-splines over a refinement Δ of a quadrangulation ◊ of a planar domain introduced recently by Lamnii et al. Then we introduce the B-spline representation of Hermite interpolant, in the special space S21,0(Δ), of any polynomial or any piecewise polynomial over refined quadrangulation Δ of ◊. After that, we use this B-representation for constructing several superconvergent discrete quasi-interpolants. The new results that we present in this paper are an improvement and a generalization of those developed in the above cited paper.

Keywords: Polar forms; Quasi-interpolation; Splines; Powell–Sabin partitions (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:250:y:2015:i:c:p:145-156

DOI: 10.1016/j.amc.2014.10.090

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