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Trigonometric generalized T-splines
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DOI：10.1016/j.cma.2013.09.015.png)
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摘要
En 中文
The paper's main aim consists of extending the T-spline approach to trigonometric generalized B-splines, a particularly relevant case of non-polynomial splines. Such goal can be achieved by a careful revision of some results concerning the basic properties of the trigonometric generalized B-splines and by a formalization of the concept of T-splines in the trigonometric setting. Moreover, fundamental for the use of this new tool is the study of the noteworthy case with constant frequencies and of the linear independence of the corresponding blending functions, which can be proved to be strongly linked to the linear independence of the polynomial blending functions associated to the same T-mesh. (C) 2013 Elsevier B.V. All rights reserved.
Keyword:
T-spline
T-mesh
GB-spline
Analysis-suitable
Linear independence
Isogeometric analysis
期刊
IF:
7.3
论文数:
1.3W
被引数:
5.6W
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分享收藏Linear independence of the T-spline blending functions associated with some particular T-meshes与某些特定T网格相关的T样条混合函数的线性独立性
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OAAI分享收藏Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement等几何分析: CAD、有限元、NURBS、精确几何和网格细化OAAI
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