Multi-Sided Macro-Element Spaces Based On Clough-Tocher Triangle Splits With Applications To Hole Filling
Filling holes, Macro-elements, Splines
Computer Aided Geometric Design
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. © 2004 Elsevier B.V. All rights reserved.
Department of Mathematics
Original Publication Date
DOI of published version
Rayevskaya, Vera and Schumaker, Larry L., "Multi-Sided Macro-Element Spaces Based On Clough-Tocher Triangle Splits With Applications To Hole Filling" (2005). Faculty Publications. 3048.