Reference : Error estimation and error bounding in energy norm based on a displacement recovery t...

	Document type :	Scientific congresses, symposiums and conference proceedings : Paper published in a journal
	Discipline(s) :	Engineering, computing & technology : Multidisciplinary, general & others
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/12235

Title :	Error estimation and error bounding in energy norm based on a displacement recovery technique
Language :	English
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 >]
	Fuenmayor, F. J. [Centro de Investigación de Tecnología de Vehículos (CITV), Universitat Politècnica de València, Camino de Vera s/n, E-46022-Valencia, Spain]
Publication date :	2012
Journal title :	ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers
Pages :	5042-5057
Peer reviewed :	Yes
Audience :	International
Event name :	6th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2012
Event date :	10 September 2012 through 14 September 2012
Event place (city) :	Vienna
Keywords :	[en] Adaptivity ; Error estimation ; Goal oriented ; Quantities of interest ; Recovery ; Dirichlet ; Displacement field ; Energy norm ; Finite elements ; Goal-oriented ; Internal equilibrium ; Linear elasticity ; Numerical tests ; Recovery-based error estimators ; Singular problem ; Stress field ; Stress solutions ; Superconvergent patch recovery ; Computational methods ; Elasticity ; Electronic publishing ; Error analysis ; Estimation ; Stresses
Abstract :	[en] Traditionally, recovery based error estimators in linear elasticity have considered the evaluation of an enhanced stress field obtained from the raw Finite Element (FE) stress solution. Instead of that, one can also obtain a recovered displacement field from the FE displacements. Herein, we describe a superconvergent patch recovery of the displacement field which considers the local fulfilment of boundary and internal equilibrium equations, Dirichlet constraints and, for singular problems, the splitting of the displacement and stress fields into singular and smooth parts. Numerical tests using problems with known analytical solution have been carried out to validate the proposed technique for error estimation and error bounding in energy norm and quantities of interest.
Research centres :	Institute of Mechanics and Advanced Material. Cardiff University
Funders :	EPSRC
Name of the research project :	EP/G042705/1 Increased Reliability for Industrially Relevant Automatic Crack Growth Simulation with the eXtended Finite Element Method
Target :	Researchers ; Professionals ; Students
Permalink :	http://hdl.handle.net/10993/12235
Commentary :	94629 9783950353709

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