Abstract
An adaptive three-dimensional isogeometric formulation based on rational splines over hierarchical T-meshes (RHT-splines) for problems in elasto-statics and elasto-dynamics is presented. RHT-splines avoid some short-comings of NURBS-based formulations; in particular they allow for adaptive h-refinement with ease. In order to drive the adaptive refinement, we present a recovery-based error estimator for RHT-splines. The method is applied to several problems in elasto-statics and elasto-dynamics including three-dimensional modeling of thin structures. The results are compared to analytical solutions and results of NURBS based isogeometric formulations.
| Original language | English |
|---|---|
| Pages (from-to) | 369-385 |
| Number of pages | 17 |
| Journal | Computational Mechanics |
| Volume | 53 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 2014 Feb |
Keywords
- Isogeometric analysis
- NURBS
- PHT-splines
- RHT-splines
ASJC Scopus subject areas
- Computational Mechanics
- Ocean Engineering
- Mechanical Engineering
- Computational Theory and Mathematics
- Computational Mathematics
- Applied Mathematics