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math.NA2024
A parsimonious approach to cubic splines on arbitrary triangulations: Reduced macro-elements on the cubic Wang-Shi split
Tom Lyche, Carla Manni, Hendrik Speleers
We present a general method to obtain interesting subspaces of the cubic spline space defined on the cubic Wang-Shi refinement of a given arbitrary triangulation $\mathcal{T}…
math.NA2024★ 1 cited
Quadrature rules for splines of high smoothness on uniformly refined triangles
Salah Eddargani, Carla Manni, Hendrik Speleers
In this paper, we identify families of quadrature rules that are exact for sufficiently smooth spline spaces on uniformly refined triangles in . Given any symmetric q…
math.NA2024
Using Geometric Symmetries to Achieve Super-Smoothness for Cubic Powell-Sabin Splines
Jan Grošelj, Hendrik Speleers
In this paper, we investigate super-smoothness of the full cubic spline space on a Powell-Sabin refined triangulation, for which a B-spline basis can be constructed. Bl…