A family of $C^1$ Clough-Tocher spline spaces on $C^0$ piecewise quadratic domain partitions

Grošelj, Jan (avtor), Knez, Marjetka (avtor)

The paper addresses the construction of $C^1$ splines on a curved domain that is parametrized by a $C^0$ piecewise geometry mapping composed of quadratic Bézier triangles. The $C^1$ splines are assembled from polynomials of a chosen total degree greater than or equal to four, and their construction is based on the Clough-Tocher splitting technique that ensures locality. In particular, the splines are locally characterized by an interpolation problem described by Hermite data, which resembles the standard macro-element concepts developed for $C^1$ splines on triangulations.

• Jezik: Angleški jezik
• Ključne besede: quadratic triangle, quadratic triangulation, isogeometric functions, Clough-Tocher refinement, spline space, dimension, basis functions
• Vrsta gradiva: Članek v reviji
• Tipologija: 1.01 - Izvirni znanstveni članek
• Organizacija: FMF - Fakulteta za matematiko in fiziko
• Status publikacije: Objavljeno
• Različica publikacije: Objavljena publikacija
• Leto izida: 2025
• Št. strani: Str. 368-389
• Številčenje: Vol. 234
• PID: 20.500.12556/RUL-168013
• UDK: 519.6
• ISSN pri članku: 0378-4754
• DOI: 10.1016/j.matcom.2025.03.006
• COBISS.SI-ID: 230027267
• Datum objave v RUL: 25.03.2025

Gradivo je del revije

• Naslov: Mathematics and computers in simulation : transactions of IMACS
• Skrajšan naslov: Math. comput. simul.
• Založnik: Elsevier, International Association for Mathematics and Computers in Simulation
• ISSN: 0378-4754
• COBISS.SI-ID: 25913088

Licence

• Licenca: CC BY-NC-ND 4.0, Creative Commons Priznanje avtorstva-Nekomercialno-Brez predelav 4.0 Mednarodna
• Povezava: http://creativecommons.org/licenses/by-nc-nd/4.0/deed.sl
• Opis: Najbolj omejujoča licenca Creative Commons. Uporabniki lahko prenesejo in delijo delo v nekomercialne namene in ga ne smejo uporabiti za nobene druge namene.