An immersed-isogeometric model: Application to linear elasticity and implementation with THBox-splines
| Autor: | Hendrik Speleers, Tadej Kanduč, Francesca Pelosi, Carlotta Giannelli |
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| Rok vydání: | 2019 |
| Předmět: |
Local refinement
Box splines Weak boundary conditions 010103 numerical & computational mathematics Isogeometric analysis System of linear equations 01 natural sciences Settore MAT/08 - Analisi Numerica Applied mathematics Linear elasticity 0101 mathematics ComputingMethodologies_COMPUTERGRAPHICS Mathematics Immersed boundary method Box spline Applied Mathematics Truncated hierarchical splines 010101 applied mathematics Computational Mathematics Spline (mathematics) Model application Trimming |
| Zdroj: | Journal of Computational and Applied Mathematics. 349:410-423 |
| ISSN: | 0377-0427 |
| Popis: | We investigate the application of immersed boundary approaches in isogeometric analysis for the treatment of flexible domains by suitably incorporating trimming operations and geometry mappings. The considered immersed-isogeometric model is framed in the context of an automatic adaptive scheme to solve linear elasticity problems. The proposed method leads to a symmetric system of linear equations, and it is essentially free of user-defined penalty and stabilization parameters. Adaptivity is achieved by employing hierarchically nested spline spaces. In particular, we focus on truncated hierarchical box splines (THBox-splines) defined over regular triangulations. Several numerical examples demonstrate the optimal convergence of the adaptive scheme. |
| Databáze: | OpenAIRE |
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