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Title:

Small and large deformation analysis with the p- and B-spline versions of the Finite Cell Method

Author(s):
Schillinger, Dominik; Ruess, Martin; Zander, Nils; Bazilevs, Yuri; Düster, Alexander; Rank, Ernst
Abstract:
The Finite Cell Method (FCM) is an embedded domain method, which combines the fictitious domain approach with high-order finite elements, adaptive integration, and weak imposition of unfitted Dirichlet boundary conditions. For smooth problems, FCM has been shown to achieve exponential rates of convergence in energy norm, while its structured cell grid guarantees simple mesh generation irrespective of the geometric complexity involved. The present contribution first unhinges the FCM concept from...     »
Keywords:
Embedded domain methods; Immersed boundary methods; Fictitious domain methods; p-Version of the Finite Cell Method; B-spline version of the Finite Cell Method; Large deformation solid mechanics; Weak boundary conditions
Journal title:
Computational Mechanics
Year:
2012
Journal volume:
50
Journal issue:
4
Pages contribution:
445-478
Language:
English
Fulltext / DOI:
doi:10.1007/s00466-012-0684-z
Publisher:
Springer-Verlag
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