Reference : Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch re...

	Document type :	Scientific journals : Article
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/12025

Title :	Mesh adaptivity driven by goal-oriented locally equilibrated superconvergent patch recovery
Language :	English
Author, co-author :	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 [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]
Publication date :	2013
Journal title :	Computational Mechanics
Pages :	1-20
Peer reviewed :	Yes (verified by ORBilu)
Audience :	International
ISSN :	01787675
Keywords :	[en] Error control ; Error estimation ; Goal-oriented ; Mesh adaptivity ; Quantities of interest ; Recovery
Abstract :	[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.
Research centres :	Institute of Mechanics and Advanced Materials. Cardiff University
Funders :	EPSRC EP/G042705/1
Name of the research project :	Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/12025
DOI :	10.1007/s00466-013-0942-8
Other URL :	http://link.springer.com/article/10.1007%2Fs00466-013-0942-8
Mentions required by the publisher for OA :	Published in Computational Mechanics

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