Journal
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
Volume 342, Issue -, Pages 32-45Publisher
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2018.07.024
Keywords
T-splines; Linear independence; Isogeometric analysis; Analysis-suitable T-splines; Analysis-suitable plus plus T-splines
Funding
- NSF of China [11031007, 60903148, 11371341]
- NKBRPC [2011CB302400]
- Fundamental Research Funds for the Central Universities
- Youth Innovation Promotion Association CAS
- SRF for ROCS SE
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We develop an optimized local refinement algorithm for analysis-suitable++ T-splines (AS++ T-splines) which produces less propagation of control points. We then demonstrate its use as an adaptive framework for isogeometric analysis. AS++ T-splines are a class of T-splines which include analysis-suitable T-spline as a special case, are linearly independent, form a weighted partition of unity and are optimal convergent. These properties, coupled with the local refinement algorithm, make the AS++ T-spline appealing as a better basis both for design and analysis. (C) 2018 Elsevier B.V. All rights reserved.
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