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• W3199188822 abstract "In this work, we study quasi-interpolation in a space of sextic splines defined over Powell–Sabin triangulations. These spline functions are of class C2 on the whole domain but fourth-order regularity is required at vertices and C3 regularity is imposed across the edges of the refined triangulation and also at the interior point chosen to define the refinement. An algorithm is proposed to define the Powell–Sabin triangles with a small area and diameter needed to construct a normalized basis. Quasi-interpolation operators which reproduce sextic polynomials are constructed after deriving Marsden’s identity from a more explicit version of the control polynomials introduced some years ago in the literature. Finally, some tests show the good performance of these operators." @default.
• W3199188822 created "2021-09-27" @default.
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• W3199188822 date "2021-09-16" @default.
• W3199188822 modified "2023-09-25" @default.
• W3199188822 title "Quasi-Interpolation in a Space of C2 Sextic Splines over Powell–Sabin Triangulations" @default.
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• W3199188822 doi "https://doi.org/10.3390/math9182276" @default.
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