Construction of superconvergent quasi-interpolants using new normalized C2 cubic B-splines

A. Rahouti, A. Serghini and A. Tijini

Mathematics and Computers in Simulation (MATCOM), 2020, vol. 178, issue C, 603-624

Abstract: In this paper, we use the finite element method to construct a new normalized basis of a univariate C2 cubic spline space endowed with a specific subdivision of a real interval. Based on the polar forms, we introduce a new representation of the Hermite interpolant of any C2 piecewise polynomial defined over this subdivision and we construct several superconvergent discrete quasi-interpolants which have an optimal approximation order. This approach is simple and provides an interesting approximation. Numerical results are given to illustrate the theoretical ones.

Keywords: Hermite interpolation; Finite element; Splines; Quasi-interpolation; Polar form; Superconvergence (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:178:y:2020:i:c:p:603-624

DOI: 10.1016/j.matcom.2020.07.009

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