Reference : A fast, certified and "tuning-free" two-field reduced basis method for the metamodell...
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Computational Sciences
A fast, certified and "tuning-free" two-field reduced basis method for the metamodelling of parametrised elasticity problems
Hoang, Khac Chi mailto [> >]
Kerfriden, Pierre mailto [> >]
Bordas, Stéphane mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Computer Methods in Applied Mechanics & Engineering
Yes (verified by ORBilu)
[en] two-field reduced basis method (TF-RBM) ; model order reduction ; constitutive relation error ; goal-oriented Greedy sampling ; a posteriori error estimation
[en] 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 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 one order of magnitude more efficient in terms of computational expenses than competing methodologies.
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