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A representation and comparison of three cubic macro-elements [Elektronski vir]Češek, Ema ...The paper is concerned with three types of cubic splines over a triangulation that are characterized by three degrees of freedom associated with each vertex of the triangulation. The splines differ ... in computational complexity, polynomial reproduction properties, and smoothness. With the aim to make them a versatile tool for numerical analysis, a unified representation in terms of locally supported basis functions is established. The construction of these functions is based on geometric concepts and is expressed in the Bernstein–Bézier form. They are readily applicable in a range of standard approximation methods, which is demonstrated by a number of numerical experiments.Source: Mathematics and computers in simulation [Elektronski vir]. - ISSN 1872-7166 (Vol. 219, May 2024, str. 527-543)Type of material - e-article ; adult, seriousPublish date - 2024Language - englishCOBISS.SI-ID - 179634179
Author
Češek, Ema |
Grošelj, Jan, 1988- |
Kolar-Požun, Andrej |
Lekše, Maruša, matematičarka |
Romih, Gašper Domen |
Šadl Praprotnik, Ada |
Šteblaj, Matija
Topics
zlepki nad triangulacijami |
Bernstein-Bézierjeve tehnike |
makro-elementi |
baze zlepkov |
aproksimacija z zlepki |
splines over triangulations |
Bernstein–Bézier techniques |
macro-elements |
spline basis |
spline approximation
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Database name | Field | Year |
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Links to authors' personal bibliographies | Links to information on researchers in the SICRIS system |
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Češek, Ema | |
Grošelj, Jan, 1988- | 38589 |
Kolar-Požun, Andrej | 56457 |
Lekše, Maruša, matematičarka | 56950 |
Romih, Gašper Domen | 56003 |
Šadl Praprotnik, Ada | 55806 |
Šteblaj, Matija |
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