Article ID Journal Published Year Pages File Type
10335573 Computer Aided Geometric Design 2005 23 Pages PDF
Abstract
Cr macro-element spaces are constructed on polygonal domains with an arbitrary number of sides. The spaces consist of polynomial supersplines defined on triangulations which have been partially refined with Clough-Tocher splits. In addition to giving dimension formulae, minimal determining sets, and nodal bases, we derive error bounds for the corresponding Hermite interpolation operators. A number of examples are presented to show how the spaces can be used to fill n-sided holes.
Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design
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