Reference : Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch re...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/12025
Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery
English
González-Estrada, O. A. [Institute of Mechanics and Advanced Materials (IMAM), Cardiff School of Engineering, Cardiff University, Queen's Buildings, The Parade, Cardiff, Wales, CF24 3AA, United Kingdom]
Nadal, E. [Centro de Investigación de Tecnología de Vehículos (CITV), Universitat Politècnica de València, 46022, Valencia, Spain]
Ródenas, J. J. [Centro de Investigación de Tecnología de Vehículos (CITV), Universitat Politècnica de València, 46022, Valencia, Spain]
Kerfriden, P. [Institute of Mechanics and Advanced Materials (IMAM), Cardiff School of Engineering, Cardiff University, Queen's Buildings, The Parade, Cardiff, Wales, CF24 3AA, United Kingdom]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Fuenmayor, F. J. [Centro de Investigación de Tecnología de Vehículos (CITV), Universitat Politècnica de València, 46022, Valencia, Spain]
2013
Computational Mechanics
1-20
Yes (verified by ORBilu)
International
01787675
[en] Error control ; Error estimation ; Goal-oriented ; Mesh adaptivity ; Quantities of interest ; Recovery
[en] Goal-oriented error estimates (GOEE) have become popular tools to quantify and control the local error in quantities of interest (QoI), which are often more pertinent than local errors in energy for design purposes (e.g. the mean stress or mean displacement in a particular area, the stress intensity factor for fracture problems). These GOEE are one of the key unsolved problems of advanced engineering applications in, for example, the aerospace industry. This work presents a simple recovery-based error estimation technique for QoIs whose main characteristic is the use of an enhanced version of the Superconvergent Patch Recovery (SPR) technique previously used for error estimation in the energy norm. This enhanced SPR technique is used to recover both the primal and dual solutions. It provides a nearly statically admissible stress field that results in accurate estimations of the local contributions to the discretisation error in the QoI and, therefore, in an accurate estimation of this magnitude. This approach leads to a technique with a reasonable computational cost that could easily be implemented into already available finite element codes, or as an independent postprocessing tool. © 2013 Springer-Verlag Berlin Heidelberg.
Institute of Mechanics and Advanced Materials. Cardiff University
EPSRC EP/G042705/1
Researchers ; Professionals ; Students
http://hdl.handle.net/10993/12025
10.1007/s00466-013-0942-8
http://link.springer.com/article/10.1007%2Fs00466-013-0942-8
Published in Computational Mechanics

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