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math.NA2026★ 1 cited
A representation and comparison of three cubic macro-elements
Ema Češek, Jan Grošelj, 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…