Reference : A unified enrichment approach addressing blending and conditioning issues in enriched...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
http://hdl.handle.net/10993/41927
A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
English
Agathos, Konstantinos [ETH Zürich, Stefano-Franscini-Platz 5, CH 8093 Zürich, Switzerland > Department of Civil, Environmental, and Geomatic Engineering]
Chatzi, Eleni [ETH Zürich, Stefano-Franscini-Platz 5, CH 8093 Zürich, Switzerland > Department of Civil, Environmental, and Geomatic Engineering]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit > ; Institute of Theoretical, Applied and Computational Mechanics, Cardiff University, Cardiff CF24 3AA, UK > > > ; China Medical University Hospital, China Medical University, Taichung, Taiwan > Department of Medical Research]
7-Feb-2019
Computer Methods in Applied Mechanics and Engineering
Elsevier
349
673-700
Yes (verified by ORBilu)
International
0045-7825
1879-2138
Amsterdam
Netherlands
[en] XFEM ; GFEM ; PU-FEM ; Higher-order ; Conditioning
[en] We present a combination of techniques to improve the convergence and conditioning properties of partition of unity (PU) enriched finite element methods. By applying these techniques to different types of enrichment functions, namely polynomial, discontinuous and singular, higher order convergence rates can be obtained while keeping condition number growth rates similar to the ones corresponding to standard finite elements.
Researchers ; Professionals ; Students ; General public ; Others
http://hdl.handle.net/10993/41927
10.1016/j.cma.2019.02.005

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