20.500.12556/DiRROS-21756 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 Neznano 2025-03-24 13:22:18 2025-03-24 13:22:18 2025-10-24 03:49:45 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 2025-08-01 519.6 0378-4754 10.1016/j.matcom.2025.03.006 230027267 1-s2.0-S0378475425000813-main.pdf 1-s2.0-S0378475425000813-main.pdf 1 590365C4B01C2ED2DE5D59FB93DDEA42 c2438a4e1b2b4bdd5fd9a993cfa531ba094e770f360b90490bf46666b0f828f5 43f2700c-08ab-11f0-963a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=31335 https://www.sciencedirect.com/science/article/pii/S0378475425000813 1 a209ea68-08aa-11f0-963a-001a4af901a5 https://dirros.openscience.si/Dokument.php?lang=slv&id=31333 Inštitut za matematiko, fiziko in mehaniko 0 0 0