Reference : A unified enrichment approach addressing blending and conditioning issues in enriched...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	To cite this reference:	http://hdl.handle.net/10993/41927

Title :	A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
Language :	English
Author, co-author :	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 [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]
Publication date :	7-Feb-2019
Journal title :	Computer Methods in Applied Mechanics and Engineering
Publisher :	Elsevier
Volume :	349
Pages :	673-700
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	0045-7825
e-ISSN :	1879-2138
City :	Amsterdam
Country :	Netherlands
Keywords :	[en] XFEM ; GFEM ; PU-FEM ; Higher-order ; Conditioning
Abstract :	[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.
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/41927
DOI :	10.1016/j.cma.2019.02.005

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