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Identification of high-dimension polynomial chaos expansions of tensor-valued random fields from limited observed responses of boundary value problems

Christian Soize 1
1 MSME - Laboratoire de Modélisation et Simulation Multi Echelle
Abstract : This paper is devoted to the identification of high-dimension polynomial chaos expansions with random coefficients for non-Gaussian tensor-valued random fields using partial and limited experimental data made up of an observation vector which is the response of a stochastic boundary value problem depending on the tensor-valued random field which has to be identified. So an inverse stochastic problem has to be solved to carry out the identification of the random field.
Keywords : high stochastic dimension random field polynomial Chaos expansion statistical inverse problem uncertainty quantification
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Conference papers
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https://hal-upec-upem.archives-ouvertes.fr/hal-00699799
Contributor : Christian Soize <>
Submitted on : Monday, May 21, 2012 - 3:49:22 PM
Last modification on : Wednesday, February 17, 2021 - 10:42:04 AM

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  • HAL Id : hal-00699799, version 1

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Christian Soize. Identification of high-dimension polynomial chaos expansions of tensor-valued random fields from limited observed responses of boundary value problems. (Keynote Lecture) ECCOMAS Conference on Computational Mechanics, Solids, Structures and Coupled Problems in Engineering (ECCM-2010), May 2010, Paris, France. ⟨hal-00699799⟩

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