FCMLab: A finite cell research toolbox for MATLAB

N. Zander; T. Bog; M. Elhaddad; R. Espinoza; H. Hu; A. Joly; C. Wu; P. Zerbe; A. Düster; S. Kollmannsberger; J. Parvizian; M. Ruess; D. Schillinger; E. Rank

doi:10.1016/j.advengsoft.2014.04.004

FCMLab: A finite cell research toolbox for MATLAB

N. Zander, T. Bog, M. Elhaddad, R. Espinoza, H. Hu, A. Joly, C. Wu, P. Zerbe, A. Düster, S. Kollmannsberger, J. Parvizian, M. Ruess, D. Schillinger, E. Rank

Civil, Environmental, and Geo- Engineering

Research output: Contribution to journal › Article › peer-review

31 Scopus citations

Abstract

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/).

Original language	English (US)
Pages (from-to)	49-63
Number of pages	15
Journal	Advances in Engineering Software
Volume	74
DOIs	https://doi.org/10.1016/j.advengsoft.2014.04.004
State	Published - Aug 2014

Bibliographical note

Funding Information:
The first two and the last author gratefully acknowledge the financial support of the German Research Foundation (DFG) under Grants RA 624/19-1 and RA 624/15-2 . D. Schillinger acknowledges support from the Institute for Computational Engineering and Sciences (ICES) at the University of Texas at Austin and the German Research Foundation (DFG) under Grant SCHI 1249/1-2 .

Keywords

Fictitious domain methods
Finite Cell Method
High-order finite elements
MATLAB
Object-oriented finite elements
p-FEM

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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title = "FCMLab: A finite cell research toolbox for MATLAB",

abstract = "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/).",

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AU - Parvizian, J.

AU - Ruess, M.

AU - Schillinger, D.

AU - Rank, E.

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FCMLab: A finite cell research toolbox for MATLAB

Abstract

Bibliographical note

Keywords

UN SDGs

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