Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 200, Issue 49-52, Pages 3554-3567Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2011.09.004
Keywords
Adaptivity; Isogeometric analysis; Hierarchical B-splines; Local refinement
Funding
- European Union [218536, 272089]
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Adaptive local refinement is one of the key issues in Isogeometric Analysis. In this article we present an adaptive local refinement technique for isogeometric analysis based on extensions of hierarchical B-splines. We investigate the theoretical properties of the spline space to ensure fundamental properties like linear independence and partition of unity. Furthermore, we use concepts well-established in finite element analysis to fully integrate hierarchical spline spaces into the isogeometric setting. This also allows us to access a posteriori error estimation techniques. Numerical results for several different examples are given and they turn out to be very promising. (C) 2011 Elsevier B.V. All rights reserved.
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