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A fast, certified and 'tuning free' two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems

Hoang, K. C., Kerfriden, Pierre and Bordas, Stephane Pierre Alain 2016. A fast, certified and 'tuning free' two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems. Computer Methods in Applied Mechanics and Engineering 298 , pp. 121-158. 10.1016/j.cma.2015.08.016

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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.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Advanced Research Computing @ Cardiff (ARCCA)
Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Additional Information: Available online 27 October 2015 PDF uploaded in accordance with publisher's policies at http://www.sherpa.ac.uk/romeo/issn/0045-7825/ (accessed 6.11.15).
Publisher: Elsevier
ISSN: 0045-7825
Funders: EPSRC ERC
Date of First Compliant Deposit: 30 March 2016
Date of Acceptance: 27 August 2015
Last Modified: 28 Jun 2019 13:39
URI: http://orca.cf.ac.uk/id/eprint/80422

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