m (JSanchez moved page Draft Sanchez Pinedo 351211071 to Grendas et al 2024a) |
|||
| Line 1: | Line 1: | ||
==Abstract== | ==Abstract== | ||
| − | + | Local refinement is vital for efficient numerical simulations. In the context of Isogeometric Analysis (IGA), hierarchical B-splines have gained prominence. The work applies the | |
| − | + | methodology of truncated hierarchical B-splines (THB-splines) as they keep additional properties. The framework is further enriched with B´ezier extraction, resulting in the multi-level | |
| + | B´ezier extraction method. We apply this discretization method to 2D magnetostatic problems. | ||
| + | The implementation is based on an open-source Octave/MATLAB IGA code called GeoPDEs, | ||
| + | which allows us to compare our routines with globally refined spline models as well as locally | ||
| + | refined ones where the solver does not rely on B´ezier extraction. | ||
== Full Paper == | == Full Paper == | ||
<pdf>Media:Draft_Sanchez Pinedo_351211071pap_408.pdf</pdf> | <pdf>Media:Draft_Sanchez Pinedo_351211071pap_408.pdf</pdf> | ||
Latest revision as of 09:58, 11 November 2025
Abstract
Local refinement is vital for efficient numerical simulations. In the context of Isogeometric Analysis (IGA), hierarchical B-splines have gained prominence. The work applies the methodology of truncated hierarchical B-splines (THB-splines) as they keep additional properties. The framework is further enriched with B´ezier extraction, resulting in the multi-level B´ezier extraction method. We apply this discretization method to 2D magnetostatic problems. The implementation is based on an open-source Octave/MATLAB IGA code called GeoPDEs, which allows us to compare our routines with globally refined spline models as well as locally refined ones where the solver does not rely on B´ezier extraction.
Full Paper
Document information
Published on 28/10/24
Submitted on 28/10/24
Volume Efficient CAD-based discretization methods, 2024
DOI: 10.23967/eccomas.2024.097
Licence: CC BY-NC-SA license
Share this document
claim authorship
Are you one of the authors of this document?