A fast, certified and " tuning free " two-field reduced basis method for the metamodelling of affinely-parametrised elasticity problems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Computer Methods in Applied Mechanics and Engineering Year : 2015

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

Chi Hoang
  • Function : Author
  • PersonId : 941146
Pierre Kerfriden

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.
Fichier principal
Vignette du fichier
TFRBM.pdf (3.45 Mo) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01189017 , version 1 (01-09-2015)

Identifiers

  • HAL Id : hal-01189017 , version 1

Cite

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, 2015, 10.1016/j.cma.2015.08.016, pp.48. ⟨hal-01189017⟩
53 View
72 Download

Share

Gmail Facebook X LinkedIn More