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.
On quasi-interpolation operators in spline spaces / Buffa Annalisa; Garau Eduardo M.; Giannelli Carlotta; Sangalli Giancarlo. - STAMPA. - (2016), pp. 73-91. [10.1007/978-3-319-41640-3_3]
On quasi-interpolation operators in spline spaces
Giannelli Carlotta;
2016
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.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
