Artículos de revistas
Refinable spaces and local approximation estimates for hierarchical splines
Fecha
2017-07Registro en:
Buffa, Annalisa; Garau, Eduardo Mario; Refinable spaces and local approximation estimates for hierarchical splines; Oxford University Press; Ima Journal Of Numerical Analysis; 37; 3; 7-2017; 1125-1149
0272-4979
1464-3642
CONICET Digital
CONICET
Autor
Buffa, Annalisa
Garau, Eduardo Mario
Resumen
We study the local approximation properties in hierarchical spline spaces through multiscale quasi-interpolation operators. This construction suggests the analysis of a subspace of the classical hierarchical spline space (Vuong et al., 2011) which still satisfies the essential properties of the full space. The B-spline basis of such a subspace can be constructed using parent-children relations only, making it well adapted to local refinement algorithms.