Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-B\'ezier form
Numerical Analysis
2024-05-01 v1 Numerical Analysis
Abstract
In this paper, the construction of cubic quasi-interpolants on a three-direction mesh of is addressed. The quasi-interpolating splines are defined by directly setting their Bernstein-B\'{e}zier coefficients relative to each triangle from point and gradient values in order to reproduce the polynomials of the highest possible degree. Moreover, additional global properties are required. Finally, we provide some numerical tests confirming the approximation properties.
Keywords
Cite
@article{arxiv.2404.19491,
title = {Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-B\'ezier form},
author = {Domingo Barrera and Salah Eddargani and María José Ibáñez and Sara Remogna},
journal= {arXiv preprint arXiv:2404.19491},
year = {2024}
}