Adaptivity; Error estimation; Goal oriented; Quantities of interest; Recovery; Displacement field; Error bound; Error estimators; Finite element approximations; Goal oriented error estimates; Goal-oriented; Linear elasticity problems; Local error; Quantity of interest; Stress field; Superconvergent patch recovery; Upper and lower bounds; Computational methods; Electronic publishing; Error analysis; Estimation; Finite element method
Abstract :
[en] Over the last ten years there has been an increase on the use of goal-oriented error estimates aimed to quantify the local error on a (non)linear quantity of interest (QoI) that might result relevant for design purposes. Residual-based error estimators have been used recursively to obtain upper and lower bounds of the error in quantities of interest for finite element approximations. In this paper, we present a recovery technique for 2D linear elasticity problems, based on the superconvergent patch recovery (SPR), which provides recovered displacement and stress fields that are then utilised to evaluate practical upper and lower error bounds in QoI.
Research center :
Institute of Mechanics and Advanced Material. Cardiff University
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Nadal, E.; Centro de Investigación de Tecnología de Vehículos (CITV), Universitat Politècnica de València, Camino de Vera s/n, E-46022-Valencia, Spain
González-Estrada, O. A.; Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, The Parade, Cardiff CF24 3AA, United Kingdom
Ródenas, J. J.; Centro de Investigación de Tecnología de Vehículos (CITV), Universitat Politècnica de València, Camino de Vera s/n, E-46022-Valencia, Spain
BORDAS, Stéphane ; University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Kerfriden, P.; Institute of Mechanics and Advanced Materials, School of Engineering, Cardiff University, The Parade, Cardiff CF24 3AA, United Kingdom
Fuenmayor, F. J.; Centro de Investigación de Tecnología de Vehículos (CITV), Universitat Politècnica de València, Camino de Vera s/n, E-46022-Valencia, Spain
Language :
English
Title :
Error estimation and error bounding in quantities of interest based on equilibrated recovered displacement fields
Publication date :
2012
Event name :
6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Event date :
10 September 2012 through 14 September 2012
Audience :
International
Journal title :
ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages :
4999-5018
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
Name of the research project :
EP/G042705/1 Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method
Funders :
EPSRC - Engineering and Physical Sciences Research Council [GB]
