期刊
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
卷 349, 期 -, 页码 410-423出版社
ELSEVIER
DOI: 10.1016/j.cam.2018.09.027
关键词
Linear elasticity; Immersed boundary method; Isogeometric analysis; Box splines; Truncated hierarchical splines; Local refinement; Weak boundary conditions
资金
- MIUR Futuro in Ricerca programme through the project DREAMS [RBFRI3FBI3]
- Mission Sustainability Program of the University degli Studi di Roma Tor Vergata through the project IDEAS [E81I18000060005]
- GNCS
- Finanziamenti Premiali SUNRISE
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. (C) 2018 Elsevier B.V. All rights reserved.
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