| Naslov: | A family of $C^1$ Clough-Tocher spline spaces on $C^0$ piecewise quadratic domain partitions |
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| Avtorji: | ID Grošelj, Jan (Avtor)
ID Knez, Marjetka (Avtor) |
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| Datoteke: |  PDF - Predstavitvena datoteka, prenos (5,58 MB)
MD5: 590365C4B01C2ED2DE5D59FB93DDEA42
 URL - Izvorni URL, za dostop obiščite https://www.sciencedirect.com/science/article/pii/S0378475425000813
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| Jezik: | Angleški jezik |
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| Tipologija: | 1.01 - Izvirni znanstveni članek |
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| Organizacija: |  IMFM - Inštitut za matematiko, fiziko in mehaniko
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| Povzetek: | 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. |
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| Ključne besede: | quadratic triangle, quadratic triangulation, isogeometric functions, Clough-Tocher refinement, spline space, dimension, basis functions |
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| Status publikacije: | Objavljeno |
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| Verzija publikacije: | Objavljena publikacija |
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| Datum objave: | 01.08.2025 |
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| Leto izida: | 2025 |
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| Št. strani: | str. 368-389 |
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| Številčenje: | Vol. 234 |
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| PID: | 20.500.12556/DiRROS-21756  |
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| UDK: | 519.6 |
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| ISSN pri članku: | 0378-4754 |
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| DOI: | 10.1016/j.matcom.2025.03.006 |
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| COBISS.SI-ID: | 230027267 |
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| Opomba: |
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| Datum objave v DiRROS: | 24.03.2025 |
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| Število ogledov: | 526 |
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| Število prenosov: | 293 |
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| Metapodatki: |    |
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