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Please use this identifier to cite or link to this item: http://bura.brunel.ac.uk/handle/2438/3119

Title: Discretization error and modelling error in the context of the rapid inflation of hyperelastic membranes
Authors: Shaw, S
Warby, MK
Whiteman, JR
Keywords: Finite element method
Finite deformation
A posteriori modelling error estimates
Posteriori discretisation error estimates
Publication Date: 2009
Publisher: Oxford University Press
Citation: IMA Journal of Numerical Analysis. 30: 302–333, Mar 2009
Abstract: The computational modelling of the rapid large inflation of hyperelastic circular sheets modelled as axisymmetric membranes is treated, with the aim of estimating engineering quantities of interest and their errors. Fine (involving inertia terms) and coarse (quasi-static) models of the inflation are considered and, using goal oriented techniques, both modelling and discretization error are estimated. Numerical results involving only discretization errors for the quasi-static problem, and both modelling and discretization errors for the dynamic problem are presented.
URI: http://bura.brunel.ac.uk/handle/2438/3119
http://imajna.oxfordjournals.org/content/early/2009/03/13/imanum.drn069
ISSN: 0272-4979
Appears in Collections:School of Information Systems, Computing and Mathematics Research Papers
Mathematical Science

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