Hoang, K. C., Kerfriden, Pierre ![]() ![]() |
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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 |
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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: | 09 Nov 2023 12:20 |
URI: | https://orca.cardiff.ac.uk/id/eprint/80422 |
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