Stable local bases for multivariate spline spaces

Oleg Davydov

doi:10.1006/jath.2001.3577

Stable local bases for multivariate spline spaces

Oleg Davydov

Mathematics And Statistics

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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Abstract

We present an algorithm for constructing stable local bases for the spaces S^r_d(Δ) of multivariate polynomial splines of smoothness r⩾1 and degree d⩾r2n+1 on an arbitrary triangulation Δ of a bounded polyhedral domain Ω⊂n, n⩾2.

Original language	English
Pages (from-to)	267-297
Number of pages	31
Journal	Journal of Approximation Theory
Volume	111
Issue number	2
DOIs	https://doi.org/10.1006/jath.2001.3577
Publication status	Published - 31 Aug 2001

Keywords

multivariate spline spaces
polynomial splines

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10.1006/jath.2001.3577

kge3.pdfAccepted author manuscript, 295 KBLicence: CC BY-NC-ND 4.0

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title = "Stable local bases for multivariate spline spaces",

abstract = "We present an algorithm for constructing stable local bases for the spaces Srd(Δ) of multivariate polynomial splines of smoothness r⩾1 and degree d⩾r2n+1 on an arbitrary triangulation Δ of a bounded polyhedral domain Ω⊂n, n⩾2.",

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AB - We present an algorithm for constructing stable local bases for the spaces Srd(Δ) of multivariate polynomial splines of smoothness r⩾1 and degree d⩾r2n+1 on an arbitrary triangulation Δ of a bounded polyhedral domain Ω⊂n, n⩾2.

KW - multivariate spline spaces

KW - polynomial splines

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DO - 10.1006/jath.2001.3577

M3 - Article

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SP - 267

EP - 297

JO - Journal of Approximation Theory

JF - Journal of Approximation Theory

IS - 2

ER -

Stable local bases for multivariate spline spaces

Abstract

Keywords

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