Speaker
Description
Isogeometric Analysis (IGA) aims to enhance the seamless integration between computer-aided design (CAD) and computer-aided engineering (CAE). Local refinement is essential for efficiently resolving fine details in numerical simulations. In the context of IGA, hierarchical B-splines have gained prominence, providing an effective framework for local refinement. The work applies the methodology of truncated hierarchical B-splines (THB-splines), which enhance the refinement process by preserving the partition of unity and ensuring linear independence, making them particularly suitable for adaptive and efficient numerical simulations. The framework is further enriched by Bézier extraction, facilitating the efficient implementation of spline-based methods within finite element frameworks and in combination with the hierarchical structure of THB-splines, resulting in the multi-level Bézier extraction method. This discretization method is applied 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 and locally refined ones where the solver does not rely on Bézier extraction.
