A high-order enrichment strategy for the finite cell method |
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Authors: | Meysam Joulaian Nils Zander Tino Bog Stefan Kollmannsberger Ernst Rank Alexander Düster |
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Institution: | 1. Numerical Structural Analysis with Application in Ship Technology, Hamburg University of Technology, Am Schwarzenberg-Campus 4 (C), 21073 Hamburg, Germany;2. Chair for Computation in Engineering, Technische Universität München, Arcisstr. 21, 80333 Munich, Germany |
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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) |
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