Extraction and application of super-smooth cubic B-splines over triangulations

examples in the context of least squares approximation and finite element approximation for second and fourth order boundary value problems. [5/5 of https://t.co/AtUjmckPO2]

process, i.e., they are expressed in terms of less smooth basis functions. These alternative spline spaces maintain the same optimal approximation power as Clough-Tocher splines. This is illustrated with a selection of numerical [4/5 of https://t.co/AtUjmc

spaces over triangulations equipped with a B-spline basis. They are defined over a Powell-Sabin refined triangulation and present different types of $C^2$ super-smoothness. The super-smooth B-splines are obtained through an extraction [3/5 of https://t.co/

a preferred choice in computer aided geometric design and isogeometric analysis. A B-spline basis is a locally supported basis that forms a convex partition of unity. In this paper, we explore several alternative $C^1$ cubic spline [2/5 of https://t.co/AtU