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Isogeometric analysis using LR B-splines

Abstract

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.

Category

Academic article

Client

  • Research Council of Norway (RCN) / 187993

Language

English

Affiliation

  • Norwegian University of Science and Technology
  • SINTEF Digital / Mathematics and Cybernetics

Year

2014

Published in

Computer Methods in Applied Mechanics and Engineering

ISSN

0045-7825

Publisher

Elsevier

Volume

269

Page(s)

471 - 514

View this publication at Cristin