13 citations · 13 across the 1 of their papers we have counts for
3 papers
math.NA2021★ 13 cited
Construction of cubic splines on arbitrary triangulations
Tom Lyche, Carla Manni, Hendrik Speleers
In this paper, we address the problem of constructing cubic spline functions on a given arbitrary triangulation . To this end, we endow every triangle of $\mathc…
math.NA2019
B-spline-like bases for cubics on the Powell-Sabin 12-split
Tom Lyche, Georg Muntingh
For spaces of constant, linear, and quadratic splines of maximal smoothness on the Powell-Sabin 12-split of a triangle, the so-called S-bases were recently introduced. These are si…
math.NA2018
Local approximation operators on box meshes
Andrea Bressan, Tom Lyche
This paper analyzes the approximation properties of spaces of piece-wise tensor product polynomials over box meshes with a focus on application to IsoGeometric Analysis (IGA). The…