Title
Hierarchical T-splines: Analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
Document Type
Article
Publication Date
1-1-2015
Abstract
In this paper hierarchical analysis-suitable T-splines (HASTS) are developed. The resulting spaces are a superset of both analysis-suitable T-splines and hierarchical B-splines. The additional flexibility provided by the hierarchy of T-spline spaces results in simple, highly localized refinement algorithms which can be utilized in a design or analysis context. A detailed theoretical formulation is presented. Bézier extraction is extended to HASTS simplifying the implementation of HASTS in existing finite element codes. The behavior of a simple HASTS refinement algorithm is compared to the local refinement algorithm for analysis-suitable T-splines demonstrating the superior efficiency and locality of the HASTS algorithm. Finally, HASTS are utilized as a basis for adaptive isogeometric analysis.
Publication Source (Journal or Book title)
Computer Methods in Applied Mechanics and Engineering
First Page
1
Last Page
20
Recommended Citation
Evans, E., Scott, M., Li, X., & Thomas, D. (2015). Hierarchical T-splines: Analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis. Computer Methods in Applied Mechanics and Engineering, 284, 1-20. https://doi.org/10.1016/j.cma.2014.05.019