20.500.12556/RUL-168013 A family of $C^1$ Clough-Tocher spline spaces on $C^0$ piecewise quadratic domain partitions 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. quadratic triangle quadratic triangulation isogeometric functions Clough-Tocher refinement spline space dimension basis functions true false true Angleški jezik Ni določen Članek v reviji 2025-03-25 10:01:23 2025-03-25 10:01:25 2025-03-26 03:58:22 0000-00-00 00:00:00 2025 0 0 Str. 368-389 Vol. 234 Aug. 2025 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 519.6 0378-4754 10.1016/j.matcom.2025.03.006 230027267 1-s2.0-S0378475425000813-main.pdf 1-s2.0-S0378475425000813-main.pdf 1 0D0595DA92089A6CB34DDA80709583EB 584896b16ef962ddc86a3530d5aa24f3a155ebc88199172d3a492ebb9726d499 3d661a14-0957-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=200986 https://www.sciencedirect.com/science/article/pii/S0378475425000813 1 b3df675c-0956-11f0-b232-0050569b8976 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=200985 Fakulteta za matematiko in fiziko 0 0 0