3–5 Jun 2026
Pisa
Europe/Rome timezone

Anisotropic Refinement with Decoupled Patchwork B-Splines and Bézier Extraction

4 Jun 2026, 15:00
15m
Aula B

Aula B

MS04 - High-Order Numerical Methods for Complex Mechanics and Higher-Order PDEs MS04.3 - High-Order Numerical Methods for Complex Mechanics and Higher-Order PDEs

Speaker

Andreas Grendas (TU Graz)

Description

Classical THB-spline refinement in isogeometric analysis relies on nested tensor-product spaces, which limits its efficiency for strongly directional solution features. This work presents an anisotropic refinement framework based on decoupled patchwork B-splines (DPB-splines), enabling patch-wise and directionally selective refinement while preserving standard element-wise assembly. The construction couples patch-local basis functions with a recursive selection-and-truncation strategy and integrates Bézier extraction to flatten the hierarchy into standard element-level structures for straightforward assembly in existing finite element codes. The implementation is developed within the open-source GeoPDEs framework in Octave/MATLAB and is currently assessed on basic model problems designed to highlight directional refinement effects. These examples are intended to demonstrate feasibility, clarify the construction, and provide a foundation for more advanced anisotropic adaptive strategies in future applications.

Author

Andreas Grendas (TU Graz)

Co-author

Benjamin Marussig (TU Graz)

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