Counting the dimension of splines of mixed smoothness A general recipe, and its application to planar meshes of arbitrary topologies

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 smoothness across different edges of the mesh. To study the dimension of spaces of such splines, we use tools from homol...

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Bibliographic Details

Published in:	Advances in computational mathematics Vol. 47; no. 1
Main Authors:	Toshniwal, Deepesh, DiPasquale, Michael
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.02.2021
Subjects:	Computational Mathematics and Numerical Analysis Computational Science and Engineering Mathematical and Computational Biology Mathematical Modeling and Industrial Mathematics Mathematics Mathematics and Statistics Visualization Spline dimension formulas 41A15 Splines Mixed smoothness Polygonal meshes with holes 13D02
ISSN:	1019-7168, 1572-9044
Online Access:	Get full text
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