| Reference : Certification of projection-based reduced order modelling in computational homogenisa... |
| Scientific journals : Article | |||
| Engineering, computing & technology : Multidisciplinary, general & others | |||
| Computational Sciences | |||
| http://hdl.handle.net/10993/14452 | |||
| Certification of projection-based reduced order modelling in computational homogenisation by the Constitutive Relation Error | |
| English | |
| Kerfriden, Pierre [Cardiff University > Institute of Mechanics and Advanced Materials > > Lecturer] | |
| Ródenas, Juan-José [] | |
Bordas, Stéphane  [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >] | |
| Feb-2014 | |
| International Journal for Numerical Methods in Engineering | |
| Wiley | |
| 97 | |
| 6 | |
| 395-422 | |
| Yes (verified by ORBilu) | |
| International | |
| 0029-5981 | |
| 1097-0207 | |
| Chichester | |
| United Kingdom | |
| [en] model order reduction ; error estimation ; homogenisation | |
| [en] In this paper, we propose upper and lower error bounding techniques for reduced order modelling applied to the computational homogenisation of random composites. The upper bound relies
on the construction of a reduced model for the stress field. Upon ensuring that the reduced stress satisfies the equilibrium in the nite element sense, the desired bounding property is obtained. The lower bound is obtained by defining a hierarchical enriched reduced model for the displacement. We show that the sharpness of both error estimates can be seamlessly controlled by adapting the parameters of the corresponding reduced order model. | |
| Researchers ; Professionals ; Students ; Others | |
| http://hdl.handle.net/10993/14452 | |
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