1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.NA2026★ 1 cited
A representation and comparison of three cubic macro-elements
Ema ÄeÅ¡ek, Jan GroÅ¡elj, Andrej Kolar-Požun +4
The paper is concerned with three types of cubic splines over a triangulation that are characterized by three degrees of freedom associated with each vertex of the triangulation. T…
math.NA2026
Isogeometric analysis with cubic Powell-Sabin splines
Jan Grošelj, Ada Šadl Praprotnik, Hendrik Speleers
In this paper, we consider cubic Powell-Sabin splines for the numerical solution of boundary value problems on planar and spatial surface domains. We first review the constru…
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…