Journal
COMMUNICATIONS IN MATHEMATICS AND STATISTICS
Volume 3, Issue 3, Pages 353-364Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s40304-015-0064-z
Keywords
T-splines; Analysis-suitable T-splines; Linear independence; Partition of unity; Isogeometric analysis
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Funding
- NSF of China [11031007, 60903148]
- Chinese Universities Scientific Fund
- SRF for ROCS SE
- CAS Startup Scientific Research Foundation
- NBRPC [2011CB302400]
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Analysis-suitable T-splines are a topological-restricted subset of T-splines, which are optimized to meet the needs both for design and analysis (Li and Scott Models Methods Appl Sci 24: 1141-1164, 2014; Li et al. Comput Aided Geom Design 29: 63-76, 2012; Scott et al. Comput Methods Appl Mech Eng 213-216, 2012). The paper independently derives a class of bi-degree (d1, d2) T-splines for which no perpendicular T-junction extensions intersect, and provides a new proof for the linearly independence of the blending functions. We also prove that the sum of the basis functions is one for an analysis-suitable T-spline if the T-mesh is admissible based on a recursive relation.
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