Article ID Journal Published Year Pages File Type
441207 Computer Aided Geometric Design 2012 11 Pages PDF
Abstract

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.

► An edge-based method for constructing basis functions is presented. ► The method generates hierarchical bases that can be used for adaptive FEA. ► The dimension of this spline space is geometric independent.

Related Topics
Physical Sciences and Engineering Computer Science Computer Graphics and Computer-Aided Design
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