Reference : Equilibrated patch recovery for accurate evaluation of upper error bounds in quantiti...
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Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
http://hdl.handle.net/10993/12108
Equilibrated patch recovery for accurate evaluation of upper error bounds in quantities of interest
English
González-Estrada, O. A.[Institute of Modelling and Simulation in Mechanics and Materials, Cardiff School of Engineering, Cardiff University, Parade, Cardiff CF24 3AA, United Kingdom]
Ródenas, J. J.[Centro de Investigacián de Tecnología de Vehículos(CITV), Universidat Politècnica de València, E-46022-Valencia, Spain]
Nadal, E.[Centro de Investigacián de Tecnología de Vehículos(CITV), Universidat Politècnica de València, E-46022-Valencia, Spain]
Bordas, Stéphane[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Kerfriden, P.[Institute of Modelling and Simulation in Mechanics and Materials, Cardiff School of Engineering, Cardiff University, Parade, Cardiff CF24 3AA, United Kingdom]
5th International Conference on Adaptive Modeling and Simulation, ADMOS 2011
6 June 2011 through 8 June 2011
Paris
[en] Error control ; Error estimation ; Goal Oriented ; Mesh adaptivity ; Quantities of Interest ; Recovery
[en] There is an increasing interest on the use of goal-oriented error estimates which help to measure and control the local error on a linear or non-linear quantity of interest (QoI) that might result relevant for design purposes (e.g. the mean stress value in a particular area, displacements, the stress intensity factor for fracture problems,⋯). In general, residual-based error estimators have been used to obtain upper and lower bounds of the error in quantities of interest for finite element approximations. In this work, we propose a novel a posteriori recovery technique to obtain an upper error bound of the QoI. We use a recovery procedure based on the superconvergent patch recovery (SPR) technique to obtain nearly statically admissible recovered stress fields for the primal and dual problems. This recovery technique was previously used to obtain upper bounds of the error in energy norm and has been used in this paper to obtain a computable version of the upper bound for the quantity of interest.
Institute of Mechanics and Advanced Material. Cardiff University
EPSRC
EP/G042705/1 Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method
[University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
