Adaptive refinement with locally linearly independent LR B-splines: Theory and applications
arXiv:2001.11236 · doi:10.1016/j.cma.2020.113230
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.
23 pages, 14 figures