Isogeometric analysis using LR B-splines
Journal article, Peer reviewed
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Original versionComputer Methods in Applied Mechanics and Engineering. 2014, 269 471-514. 10.1016/j.cma.2013.09.014
The recently proposed locally refined B-splines, denoted LR B-splines, by Dokken et al. (2013)  may have the potential to be a framework for isogeometric analysis to enable future interoperable computer aided design and finite element analysis. In this paper, we propose local refinement strategies for adaptive isogeometric analysis using LR B-splines and investigate its performance by doing numerical tests on well known benchmark cases. The theory behind LR B-spline is not presented in full details, but the main conceptual ingredients are explained and illustrated by a number of examples.