Reference : Enhanced recovery techniques for accurate evaluation of error estimates in FE aproxim...
Scientific congresses, symposiums and conference proceedings : Paper published in a book
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/12232
Enhanced recovery techniques for accurate evaluation of error estimates in FE aproximations
English
González-Estrada, O. A. [> >]
Ródenas, J. J. [> >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit]
Kerfriden, Pierre [> >]
2011
19th UK National Conference of the Association for Computational Mechanics in Engineering
Laghrouche, O
El Kacimi, A
Woodwaed, P
Medero, G
Heriot-Watt University
Yes
International
978-0-9565951-1-9
Edinburgh
UK
19th UK National Conference of the Association for Computational Mechanics in Engineering
2011
[en] Error ; Error estimation ; FEM ; XFEM ; fracture mechanics ; recovery Error
[en] When modelling critical structures, it is crucial to rationally assess the outcome of numerical simu- lations. Specifically, error estimation strategies are key tools in critical decision-based processes. The development of design tools that enhance performance of the final product and give reliability on the calculations is essential in todays industrial environment, which increasingly seeks to reduce develop- ment times for new products while improving the quality. During the last years there has been an increasing interest on the use of error estimates which help to measure and control the error committed in standard or enriched finite element approximations. The error can be defined in terms of energy norm or in quantities relevant for design purposes (such as the mean stress value in a particular area, displacements, the stress intensity factor for fracture problems). In this work, we discuss the use of different a posteriori recovery techniques to evaluate error estimates for different finite element (FE) approximations. These techniques are based on equilibrated supercon- vergent patch recovery or equilibrated moving least squares procedures and can be used in smooth or singular problems. Numerical results show the capabilities of the proposed techniques to provide good error estimates.
Institute of Mechanics and Advanced Material. Cardiff University
EPSRC
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/12232
253--256

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