Shell Finite Cell Method: A high order fictitious domain approach for thin-walled structures

E. Rank, S. Kollmannsberger, Ch Sorger, A. Düster

Research output: Contribution to journalArticlepeer-review

60 Scopus citations


This article presents a generalization of the recently proposed Finite Cell Method to thin-walled structures. This approach uses a combination of well known Fictitious Domain Methods with high order hierarchical Ansatz spaces known from the p-version of the Finite Element Method. Whereas the original concept embeds a three-dimensional structure in a simple domain being meshed into a grid of cube shaped cells, the extension presented in this paper applies the fictitious domain approach to a two-dimensional master domain defined in the parameter plane of the geometric model. Implementation details are discussed and numerical benchmark problems show the high accuracy and computational efficiency of the new approach. It is also remarked, that the present approach can easily be carried over to isogeometric analysis, opening an attractive possibility to simulate trimmed NURBS-surfaces.

Original languageEnglish
Pages (from-to)3200-3209
Number of pages10
JournalComputer Methods in Applied Mechanics and Engineering
Issue number45-46
StatePublished - 15 Oct 2011


  • Fictitious Domain Method
  • Finite Cell Method
  • High-order methods
  • Isogeometric analysis
  • P-FEM
  • Thin-walled structures


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