Journal
ADVANCES IN ENGINEERING SOFTWARE
Volume 74, Issue -, Pages 49-63Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.advengsoft.2014.04.004
Keywords
Finite Cell Method; Fictitious domain methods; MATLAB; Object-oriented finite elements; High-order finite elements; p-FEM
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Funding
- German Research Foundation (DFG) [RA 624/19-1, RA 624/15-2, SCHI 1249/1-2]
- Institute for Computational Engineering and Sciences (ICES) at the University of Texas at Austin
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The recently introduced Finite Cell Method combines the fictitious domain idea with the benefits of high-order finite elements. Although previous publications demonstrated the method's excellent applicability in various contexts, the implementation of a three-dimensional Finite Cell code is challenging. To lower the entry barrier, this work introduces the object-oriented MATLAB toolbox FCMLab allowing for an easy start into this research field and for rapid prototyping of new algorithmic ideas. The paper reviews the essentials of the methods applied and explains in detail the class structure of the framework. Furthermore, the usage of the toolbox is discussed by means of different two- and three-dimensional examples demonstrating all important features of FCMLab (http://fcmlab.cie.bgu.tum.de/). (C) 2014 Elsevier Ltd. All rights reserved.
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