
Title | On quasi-interpolation operators in spline spaces |
Publication Type | Report Series |
Year of Publication | 2015 |
Authors | Buffa A., Garau E., Sangalli G. |
Series | IMATI Report Series |
Number | 15-03 |
Pagination | 16 p. |
Date Published | December |
Place Published | Pavia |
Publisher | CNR-IMATI |
Type of Work | Working paper |
Abstract | We propose the construction of a class of L2 stable quasi-interpolation operators onto the space of splines on tensor-product meshes, in any space dimension. The estimate we propose is robust with respect to knot repetition and to knot "vicinity" (up to p+1 knots), so it applies to the most general scenario in which the B-spline functions are known to be well defined. |
Keywords | B-splines, Isogeometric analysis, Quasi-interpolation |
URI | http://irs.imati.cnr.it/reports/irs15-03 |
Citation Key | irs15-03 |