[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.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
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
External co-authors :
yes
Language :
English
Title :
A unified enrichment approach addressing blending and conditioning issues in enriched finite elements
Publication date :
07 February 2019
Journal title :
Computer Methods in Applied Mechanics and Engineering
