On quasi-interpolation operators in spline spaces

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TitleOn quasi-interpolation operators in spline spaces
Publication TypeReport Series
Year of Publication2015
AuthorsBuffa A., Garau E., Sangalli G.
SeriesIMATI Report Series
Number15-03
Pagination16 p.
Date PublishedDecember
Place PublishedPavia
PublisherCNR-IMATI
Type of WorkWorking 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.

KeywordsB-splines, Isogeometric analysis, Quasi-interpolation
URIhttp://irs.imati.cnr.it/reports/irs15-03
Citation Keyirs15-03