VSE knjižnice (vzajemna bibliografsko-kataložna baza podatkov COBIB.SI)
  • C1 isogeometric spline space for trilinearly parameterized multi-patch volumes
    Kapl, Mario ; Vitrih, Vito, 1981-
    We study the space of C1 isogeometric spline functions defined on trilinearly parameterized multi-patch volumes. Amongst others, we present a general framework for the design of the C1 isogeometric ... spline space and of an associated basis, which is based on the two-patch construction [7], and which works uniformly for any possible multi-patch configuration. The presented method is demonstrated in more detail on the basis of a particular subclass of trilinear multi-patch volumes, namely for the class of trilinearly parameterized multi-patch volumes with exactly one inner edge. For this specific subclass of trivariate multi-patch parameterizations, we further numerically compute the dimension of the resulting C1 isogeometric spline space and use the constructed C1 isogeometric basis functions to numerically explore the approximation properties of the C1 spline space by performing L2 approximation.
    Vir: Computers & mathematics with applications. - ISSN 0898-1221 (Vol. 117, 2022, str. 53-68)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2022
    Jezik - angleški
    COBISS.SI-ID - 106592259

    Povezava(-e):

    https://www.sciencedirect.com/science/article/pii/S089812212200164X?via%3Dihub
    https://doi.org/10.1016/j.camwa.2022.04.008
    DOI

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