Skip to Main content Skip to Navigation
Journal articles

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

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [51 references]  Display  Hide  Download

https://hal.inria.fr/hal-01189017
Contributor : Pierre Kerfriden <>
Submitted on : Tuesday, September 1, 2015 - 9:41:23 AM
Last modification on : Friday, April 10, 2020 - 7:44:02 PM
Long-term archiving on: : Wednesday, December 2, 2015 - 10:19:13 AM

File

TFRBM.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01189017, version 1

Citation

Chi Hoang, Pierre Kerfriden, Stephane Pierre-Alain Bordas. 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, Elsevier, 2015, 10.1016/j.cma.2015.08.016, pp.48. ⟨hal-01189017⟩

Share

Metrics

Record views

233

Files downloads

545