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| 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: | Mathematics
School of Information Systems, Computing and Mathematics Research Papers
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