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- Titel:
A high-order enrichment strategy for the finite cell method
- Dokumenttyp:
- Zeitschriftenaufsatz
- Autor(en):
- Joulaian, Meysam; Zander, Nils; Bog, Tino; Kollmannsberger, Stefan; Rank, Ernst; Düster, Alexander
- Abstract:
- Abstract Thanks to the application of the immersed boundary approach in the finite cell method, the mesh can be defined independently from the geometry. Although this leads to a significant simplification of the mesh generation, it might cause difficulties in the solution. One of the possible difficulties will occur if the exact solution of the underlying problem exhibits a kink inside an element, for instance at material interfaces. In such a case, the solution turns out less smooth – and the convergence rate is deteriorated if no further measures are taken into account. In this paper, we explore a remedy by considering the partition of unity method. The proposed approach allows to define enrichment functions with the help of a high-order implicit representation of the material interface. (© 2015 Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim)
- Zeitschriftentitel:
- PAMM
- Jahr:
- 2015
- Band / Volume:
- 15
- Heft / Issue:
- 1
- Seitenangaben Beitrag:
- 207-208
- Volltext / DOI:
- doi:10.1002/pamm.201510094
- WWW:
- https://onlinelibrary.wiley.com/doi/abs/10.1002/pamm.201510094
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