Adaptive refinement with locally linearly independent LR B-splines: Theory and applications

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. (C) 2020 The Author(s). Published by Elsevier B.V. This is an open access article under theCCBYlicense (http://creativecommons.org/licenses/by/4.0/).