We present the conformality method for studying the dimension of Tchebycheffian spline spaces over T-meshes. This is a Tchebycheffian extension of the smoothing cofactor-conformality method elaborated in the literature for polynomial spline spaces. We apply this method to obtain a dimension formula which is equivalent to the one recently obtained by the so-called homological approach.

Manni, C., Speleers, H. (2018). Dimension of Tchebycheffian spline spaces over planar T-meshes: The conformality method. RENDICONTI DEL SEMINARIO MATEMATICO, 76(2), 135-145.

Dimension of Tchebycheffian spline spaces over planar T-meshes: The conformality method

Manni C.;Speleers H.
2018-01-01

Abstract

We present the conformality method for studying the dimension of Tchebycheffian spline spaces over T-meshes. This is a Tchebycheffian extension of the smoothing cofactor-conformality method elaborated in the literature for polynomial spline spaces. We apply this method to obtain a dimension formula which is equivalent to the one recently obtained by the so-called homological approach.
2018
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/08 - ANALISI NUMERICA
English
Manni, C., Speleers, H. (2018). Dimension of Tchebycheffian spline spaces over planar T-meshes: The conformality method. RENDICONTI DEL SEMINARIO MATEMATICO, 76(2), 135-145.
Manni, C; Speleers, H
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/263269
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