Reference : Certification of projection-based reduced order modelling in computational homogenisa...
Scientific journals : Article
Engineering, computing & technology : Multidisciplinary, general & others
Computational Sciences
Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error
Kerfriden, P. [School of Engineering Cardiff University The Parade, CF243AA Cardiff UK]
Ródenas, J. J. [Centro de Investigacíon de Tecnología de Vehículos (CITV) Universitat Poliècnica de València E-46022-Valencia Spain]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
International Journal for Numerical Methods in Engineering
Yes (verified by ORBilu)
[en] Computational homogenisation ; Constitutive relation error ; Error estimation ; Model order reduction ; Proper orthogonal decomposition
[en] SUMMARY: 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 finite 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. © 2013 John Wiley & Sons, Ltd.
Researchers ; Professionals ; Students
FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

File(s) associated to this reference

Fulltext file(s):

Open access
2013certificationError_IJNME.pdfAuthor preprint3.29 MBView/Open

Bookmark and Share SFX Query

All documents in ORBilu are protected by a user license.