Article (Scientific journals)
A fast, certified and "tuning free" two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems
Hoang, K. C.; Kerfriden, P.; Bordas, Stéphane
2016In Computer Methods in Applied Mechanics and Engineering, 298, p. 121-158
Peer reviewed
 

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Keywords :
Two-field reduced basis method (TF-RBM); Model order reduction; Constitutive relation error; Goal-oriented greedy sampling; a posteriori error estimation
Abstract :
This paper proposes a new reduced basis algorithm for the metamodelling of parametrised elliptic problems. The developments rely on the Constitutive Relation Error (CRE), and the construction of separate reduced order models for the primal variable (displacement) and flux (stress) fields. A two field greedy sampling strategy is proposed to construct these two fields simultaneously and in an efficient manner: at each iteration, one of the two fields is enriched by increasing the dimension of its reduced space in such a way that the CRE is minimised. This sampling strategy is then used as a basis to construct goal-oriented reduced order modelling. The resulting algorithm is certified and “tuning free”: the only requirement from the engineer is the level of accuracy that is desired for each of the outputs of the surrogate. It is also shown to be significantly more efficient in terms of computational expense than competing methodologies.
Disciplines :
Engineering, computing & technology: Multidisciplinary, general & others
Author, co-author :
Hoang, K. C.
Kerfriden, P.
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
External co-authors :
yes
Language :
English
Title :
A fast, certified and "tuning free" two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems
Publication date :
2016
Journal title :
Computer Methods in Applied Mechanics and Engineering
ISSN :
0045-7825
Volume :
298
Pages :
121-158
Peer reviewed :
Peer reviewed
Focus Area :
Computational Sciences
European Projects :
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
Name of the research project :
R-AGR-0070-1 > FP7 - Ideas - RealTCut > 01/11/2013 - 31/12/2016 > BORDAS Stéphane
Funders :
EPSRC under grant EP/J01947X/1: “Towards rationalised computational expense for simulating fracture over multiple scales (RationalMSFrac)”
CE - Commission Européenne [BE]
FP7
Commentary :
cited By 3 Scopus
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since 17 February 2018

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