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math.NA2020
A lower bound for the dimension of tetrahedral splines in large degree
Michael DiPasquale, Nelly Villamizar
We derive a formula which is a lower bound on the dimension of trivariate splines on a tetrahedral partition which are continuously differentiable of order in large enough degr…
math.NA2020
Counting the dimension of splines of mixed smoothness: A general recipe, and its application to meshes of arbitrary topologies
Deepesh Toshniwal, Michael DiPasquale
In this paper we study the dimension of bivariate polynomial splines of mixed smoothness on polygonal meshes. Here, "mixed smoothness" refers to the choice of different orders of s…