Thèse soutenue

Amélioration de la précision et compensation des incertitudes des métamodèles pour l'approximation de simulateurs numériques.
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Accès à la thèse
Auteur / Autrice : Victor Picheny
Direction : Alain Vautrin
Type : Thèse de doctorat
Discipline(s) : Mathématiques appliquées
Date : Soutenance en 2009
Etablissement(s) : Saint-Etienne, EMSE

Mots clés

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Résumé

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This dissertation addresses the issue of dealing with uncertainties when surrogate models are used to approximate costly numerical simulators. First, we propose alternatives to compensate for the surrogate model errors in order to obtain safe predictions with minimal impact on the accuracy (conservative strategies). The efficiency of the different methods are analyzed with the help of engineering problems, and are applied to the optimization of a laminate composite under reliability constraints. We also propose two contributions to the field of design of experiments (DoE) in order to minimize the uncertainty of surrogate models. Firstly, we developed a sequential method to build DoEs that minimize the error in a target region of the design space. Secondly, we proposed optimal sampling strategies when simulators with noisy responses are considered.