Hierarchical bases of spline spaces with highest order smoothness over hierarchical T-subdivisions

作者：Wu Meng; Xu Jinlan; Wang Ruimin; Yang Zhouwang^*

来源：Computer Aided Geometric Design, 2012, 29(7): 499-509.

DOI：10.1016/j.cagd.2012.03.024

• Splines
• T-subdivisions
• Adaptive isogeometric analysis
• Hierarchical bases

The prospect of applying spline spaces over T-subdivisions to adaptive isogeometric analysis is an exciting one. One major issue with spline spaces over T-subdivisions is in providing proper bases (shape functions) for finite element analysis. In this paper, we propose a method for the construction of hierarchical bases of a spline space with highest order smoothness over a consistent hierarchical T-subdivision. Our method is induced by the surjection condition, and this set of basis functions is hierarchically adaptive. We also present a concrete set of non-negative hierarchical bases over a T-subdivision and apply them in adaptive finite element analysis.

• 出版日期2012-10
• 单位中国科学技术大学