Moment preserving local spline projection operators

Abstract : This article describes an elementary construction of a dual basis for non-uniform B-splines that is local, L ∞-stable and reproducts polynomials of any prescribed degree. This allows to define local projection operators with near-optimal approximation properties in any L q , 1 ≤ q ≤ ∞, and high order moment preserving properties. As the dual basis functions share the same piecewise polynomial structure as the underlying splines, simple quadrature formulas can be used to compute the projected spline coefficients.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [17 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01837912
Contributor : Martin Campos Pinto <>
Submitted on : Thursday, July 19, 2018 - 10:46:17 AM
Last modification on : Wednesday, May 15, 2019 - 3:39:47 AM
Long-term archiving on : Saturday, October 20, 2018 - 1:54:31 PM

File

sub_prospline.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01837912, version 2

Citation

Martin Campos Pinto. Moment preserving local spline projection operators. 2018. ⟨hal-01837912v2⟩

Share

Metrics

Record views

219

Files downloads

270