Journal
COMPUTER AIDED GEOMETRIC DESIGN
Volume 34, Issue -, Pages 50-66Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cagd.2015.02.003
Keywords
Isogeometric analysis; T-splines; Analysis-suitability; Nestedness; Adaptive mesh refinement
Funding
- Deutsche Forschungsgemeinschaft [1748]
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We present an efficient adaptive refinement procedure that preserves analysis-suitability of the T-mesh, that is, the linear independence of the T-spline blending functions. We prove analysis-suitability of the overlays and boundedness of their cardinalities, nestedness of the generated T-spline spaces, and linear computational complexity of the refinement procedure in terms of the number of marked and generated mesh elements. (C) 2015 Elsevier B.V. All rights reserved.
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