A characterization of supersmoothness of multivariate splines

Autor:	Floater, Michael S., Hu, Kaibo
Rok vydání:	2019
Předmět:	Mathematics - Numerical Analysis Primary: 41A15 65D07 Secondary: 41A58 65N30
Druh dokumentu:	Working Paper
Popis:	We consider spline functions over simplicial meshes in $\RR^n$. We assume that the spline pieces join together with some finite order of smoothness but the pieces themselves are infinitely smooth. Such splines can have extra orders of smoothness at a vertex, a property known as \emph{supersmoothness}, which plays a role in the construction of multivariate splines and in the finite element method. In this paper we characterize supersmoothness in terms of the degeneracy of spaces of polynomial splines over the cell of simplices sharing the vertex, and use it to determine the maximal order of supersmoothness of various cell configurations. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1906.08164 Zobrazit plný text záznamu View this record from Arxiv