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Isogeometric analysis using LR B-splines

2013; Elsevier BV; Volume: 269; Linguagem: Inglês

10.1016/j.cma.2013.09.014

1879-2138

Kjetil Johannessen, Trond Kvamsdal, Tor Dokken,

Polynomial and algebraic computation

The recently proposed locally refined B-splines, denoted LR B-splines, by Dokken et al. (2013) [6] 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.