Adaptive isogeometric analysis by local h-refinement with T-splines

作者：Doerfel Michael R; Juettler Bert; Simeon Bernd

来源：Computer Methods in Applied Mechanics and Engineering, 2010, 199(5-8): 264-275.

DOI：10.1016/j.cma.2008.07.012

• Adaptivity
• A posteriori error estimation
• Isogeometric analysis
• NURBS
• CAD
• T-splines

Isogeometric analysis based on non-uniform rational B-splines (NURBS) as basis functions preserves the exact geometry but suffers from the drawback of a rectangular grid of control points in the parameter space, which renders a purely local refinement impossible. This paper demonstrates how this difficulty can be overcome by using T-splines instead. T-splines allow the introduction of so-called T-junctions, which are related to hanging nodes in the standard FEM. Obeying a few straightforward rules, rectangular patches in the parameter space of the T-splines can be subdivided and thus a local refinement becomes feasible while still preserving the exact geometry. Furthermore, it is shown how state-of-the-art a posteriori error estimation techniques can be combined with refinement by T-splines. Numerical examples underline the potential of isogeometric analysis with T-splines and give hints for further developments.

• 出版日期2010