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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 (+2 others)
2014 Advances in Engineering Software  
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.  ...  Although previous publications demonstrated the method's excellent applicability in various contexts, the implementation of a three-dimensional Finite Cell code is challenging.  ...  Code design FCMLab is an object-oriented MATLAB toolbox, which is intended to provide an easy entry point into the research field of higher-order fictitious domain methods.  ... 
doi:10.1016/j.advengsoft.2014.04.004 fatcat:kiubinms6nbghlyheppjyhs6jy

Higher-order multi-resolution topology optimization using the finite cell method

Jeroen P. Groen, Matthijs Langelaar, Ole Sigmund, Martin Ruess
2016 International Journal for Numerical Methods in Engineering  
This article presents a detailed study on the potential and limitations of performing higher-order multiresolution topology optimization with the finite cell method.  ...  The computational cost associated with nested topology optimization is reduced significantly compared with the use of first-order finite elements.  ...  The authors also wish to thank Krister Svanberg for the MATLAB MMA code.  ... 
doi:10.1002/nme.5432 fatcat:get5llftrjb6papsiwo57cb54u