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Towards error bounds of the failure probability of elastic structures using reduced basis models

  • Published:2017-05-08 Issue:9 Volume:112 Page:1216-1234
  • ISSN:0029-5981
  • Container-title:International Journal for Numerical Methods in Engineering
  • language:en
  • Short-container-title:Int. J. Numer. Meth. Engng

Author:

Gallimard L.1ORCID,Florentin E.2,Ryckelynck D.3

Affiliation:

1. Laboratoire Energétique Mécanique Electromagnétisme EA4416; Université Paris Nanterre; 50 rue de Sèvres, Ville d'Avray 92410 France

2. INSA-CVL/Universite d'Orléans - PRISME; 88, Boulevard Lahitolle, Bourges F-18020 France

3. Centre des Matériaux, MINES ParisTech; PSL, Research University, CNRS UMR 7633; Paris France

Funder

Publishing Arts Research Council

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference42 articles.

1. Efficient algorithm for second-order reliability analysis;Der Kiureghian;Journal of Engineering Mechanics,1991

2. Error bounds for the reliability index in finite element reliability analysis;Gallimard;International Journal for Numerical Methods in Engineering,2011

3. Coupling finite element and reliability analysis through proper generalized decomposition model reduction;Gallimard;International Journal for Numerical Methods in Engineering,2013

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