New refinable spaces and local approximation estimates for hierarchical splines
Numerical Analysis
2015-07-24 v1
Abstract
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.
Cite
@article{arxiv.1507.06534,
title = {New refinable spaces and local approximation estimates for hierarchical splines},
author = {Annalisa Buffa and Eduardo M. Garau},
journal= {arXiv preprint arXiv:1507.06534},
year = {2015}
}