06081827

j

06081827 Wu, Meng Xu, Jinlan Wang, Ruimin Yang, Zhouwang Hierarchical bases of spline spaces with highest order smoothness over hierarchical T-subdivisions. Comput. Aided Geom. Des. 29, No. 7, 499-509 (2012). 2012 Elsevier Science Publishers B.V. (North-Holland), Amsterdam EN splines T-subdivisions adaptive isogeometric analysis hierarchical bases

doi:10.1016/j.cagd.2012.03.024

Summary: 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.