Journal article

On stable local bases for bivariate polynomial spline spaces


Authors list: Davydov, O; Schumaker, LL

Publication year: 2002

Pages: 87-116

Journal: Constructive Approximation

Volume number: 18

Issue number: 1

ISSN: 0176-4276

eISSN: 1432-0940

Publisher: Springer


Abstract: 
Stable locally supported bases are constructed for the spaces S-d(r)(Delta) of polynomial splines of degree d greater than or equal to 3r + 2 and smoothness r defined on triangulations A, as well as for various superspline subspaces. In addition, we show that for r greater than or equal to 1, in general, it is impossible to construct bases which are simultaneously stable and locally linearly independent.



Citation Styles

Harvard Citation style: Davydov, O. and Schumaker, L. (2002) On stable local bases for bivariate polynomial spline spaces, Constructive Approximation, 18(1), pp. 87-116

APA Citation style: Davydov, O., & Schumaker, L. (2002). On stable local bases for bivariate polynomial spline spaces. Constructive Approximation. 18(1), 87-116.



Keywords

dimension; local bases; polynomial splines; SMOOTHNESS-R; SPHERE-LIKE SURFACES

Last updated on 2025-02-04 at 04:25