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Chapitre D'ouvrage Année : 2015

Polynomial chaos expansions and stochastic finite element methods

Résumé

This paper is a state-of-the art review on sparse polynomial chaos expansions (PCE) for engineering applications. It contains a step-by-step presentation of PCEs and their use in moment-, sensitivity- and reliability analysis. Error estimators and sparse expansions for addressing high-dimensional problems are discussed. Applications in geotechnical engineering showcase the efficiency of sparse PCEs.
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Dates et versions

hal-01449883 , version 1 (30-01-2017)

Identifiants

  • HAL Id : hal-01449883 , version 1

Citer

Bruno Sudret. Polynomial chaos expansions and stochastic finite element methods. Kok-Kwang Phoon, Jianye Ching. Risk and Reliability in Geotechnical Engineering, CRC Press, pp.265-300, 2015, 9781482227215. ⟨hal-01449883⟩

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