Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
Numerical Analysis
2020-07-15 v1 Numerical Analysis
Abstract
In this paper we describe an adaptive refinement strategy for LR B-splines. The presented strategy ensures, at each iteration, local linear independence of the obtained set of LR B-splines. This property is then exploited in two applications: the construction of efficient quasi-interpolation schemes and the numerical solution of elliptic problems using the isogeometric Galerkin method.
Keywords
Cite
@article{arxiv.2001.11236,
title = {Adaptive refinement with locally linearly independent LR B-splines: Theory and applications},
author = {Francesco Patrizi and Carla Manni and Francesca Pelosi and Hendrik Speleers},
journal= {arXiv preprint arXiv:2001.11236},
year = {2020}
}
Comments
23 pages, 14 figures