Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 284, Issue -, Pages 1-20Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2014.05.019
Keywords
Isogeometric analysis; Hierarchical splines; Adaptive mesh refinement; T-splines
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In this paper hierarchical analysis-suitable T-splines (HASTS) are developed. The resulting spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. The additional flexibility provided by the hierarchy of T-spline spaces results in simple, highly localized refinement algorithms which can be utilized in a design or analysis context. A detailed theoretical formulation is presented. Bezier extraction is extended to HASTS simplifying the implementation of HASTS in existing finite element codes. The behavior of a simple HASTS refinement algorithm is compared to the local refinement algorithm for analysis-suitable T-splines demonstrating the superior efficiency and locality of the HASTS algorithm. Finally, HASTS are utilized as a basis for adaptive isogeometric analysis. (C) 2014 Elsevier B.V. All rights reserved.
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