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<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dc="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="https://dirros.openscience.si/IzpisGradiva.php?id=21756"><dc:title>A family of $C^1$ Clough-Tocher spline spaces on $C^0$ piecewise quadratic domain partitions</dc:title><dc:creator>Grošelj,	Jan	(Avtor)
	</dc:creator><dc:creator>Knez,	Marjetka	(Avtor)
	</dc:creator><dc:subject>quadratic triangle</dc:subject><dc:subject>quadratic triangulation</dc:subject><dc:subject>isogeometric functions</dc:subject><dc:subject>Clough-Tocher refinement</dc:subject><dc:subject>spline space</dc:subject><dc:subject>dimension</dc:subject><dc:subject>basis functions</dc:subject><dc:description>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.</dc:description><dc:date>2025</dc:date><dc:date>2025-03-24 13:22:18</dc:date><dc:type>Neznano</dc:type><dc:identifier>21756</dc:identifier><dc:language>sl</dc:language></rdf:Description></rdf:RDF>