Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-Bézier form
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866917654461153280 |
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| author | Barrera, Domingo Eddargani, Salah Ibáñez, María José Remogna, Sara |
| author_facet | Barrera, Domingo Eddargani, Salah Ibáñez, María José Remogna, Sara |
| contents | In this paper, the construction of $C^{1}$ cubic quasi-interpolants on a three-direction mesh of $\RR^{2}$ is addressed. The quasi-interpolating splines are defined by directly setting their Bernstein-Bézier 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_19491 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-Bézier form Barrera, Domingo Eddargani, Salah Ibáñez, María José Remogna, Sara Numerical Analysis In this paper, the construction of $C^{1}$ cubic quasi-interpolants on a three-direction mesh of $\RR^{2}$ is addressed. The quasi-interpolating splines are defined by directly setting their Bernstein-Bézier 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. |
| title | Construction of 2D explicit cubic quasi-interpolating splines in Bernstein-Bézier form |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2404.19491 |