Escaping unknown discontinuous regions in blackbox optimization
C Audet, A Batailly, S Kojtych - SIAM Journal on Optimization, 2022 - SIAM
The design of key nonlinear systems often requires the use of expensive blackbox
simulations presenting inherent discontinuities whose positions in the variable space cannot …
simulations presenting inherent discontinuities whose positions in the variable space cannot …
An hp‐adaptive multi‐element stochastic collocation method for surrogate modeling with information re‐use
A Galetzka, D Loukrezis, N Georg… - International Journal …, 2023 - Wiley Online Library
This article introduces an hp hp‐adaptive multi‐element stochastic collocation method,
which additionally allows to re‐use existing model evaluations during either hh‐or pp …
which additionally allows to re‐use existing model evaluations during either hh‐or pp …
Multi-element polynomial chaos expansion based on automatic discontinuity detection for nonlinear systems
J Dréau, B Magnain, A Batailly - Journal of Sound and Vibration, 2023 - Elsevier
This article focuses on the stochastic modeling of nonlinear systems featuring discontinuities
in their response surface. More specifically, original developments are presented to improve …
in their response surface. More specifically, original developments are presented to improve …
Uncertainty quantification in shallow water-sediment flows: A stochastic Galerkin shallow water hydro-sediment-morphodynamic model
J Li, Z Cao, AGL Borthwick - Applied Mathematical Modelling, 2021 - Elsevier
All shallow water hydro-sediment-morphodynamic (SHSM) models are prone to uncertainty
arising from inadequate representation of the underlying physics and error in input …
arising from inadequate representation of the underlying physics and error in input …
A multi-element non-intrusive Polynomial Chaos method using agglomerative clustering based on the derivatives to study irregular and discontinuous Quantities of …
A non-intrusive method to get a multi-element Polynomial Chaos model is developed. This
method is called ME-ACD, for Multi-Element based on Agglomerative Clustering on …
method is called ME-ACD, for Multi-Element based on Agglomerative Clustering on …
The Wasserstein distances between pushed-forward measures with applications to uncertainty quantification
A Sagiv - arXiv preprint arXiv:1902.05451, 2019 - arxiv.org
In the study of dynamical and physical systems, the input parameters are often uncertain or
randomly distributed according to a measure $\varrho $. The system's response $ f $ pushes …
randomly distributed according to a measure $\varrho $. The system's response $ f $ pushes …
Contributions à l'optimisation de systèmes mécaniques non réguliers: reconception d'aubes de compresseur
S Kojtych - 2022 - theses.hal.science
Un système mécanique non linéaire est dit non régulier lorsque ses champs de vitesses ou
d'accélérations présentent des discontinuités. Tout système mécanique dont des …
d'accélérations présentent des discontinuités. Tout système mécanique dont des …
Estimation of Sobol indices with a multi-element polynomial chaos model: application to Flight Dynamics
Flight Dynamics aims at studying the motion of an aircraft modelled as a solid. The
equations of motion are gathered in a dynamical system of coupled Ordinary Differential …
equations of motion are gathered in a dynamical system of coupled Ordinary Differential …
Développement de méthodes numériques pour la conception robuste d'aubes de moteurs d'avion
J Dréau - 2022 - theses.hal.science
Les travaux de doctorat présentés dans ce mémoire ont permis de développer deux
méthodes dédiées à la modélisation stochastique des roues aubagées dans des contextes …
méthodes dédiées à la modélisation stochastique des roues aubagées dans des contextes …
Estimation des indices de Sobol à l'aide d'un métamodèle multi-éléments: application à la dynamique du vol
N Vauchel - 2023 - theses.hal.science
La thèse s' intéresse à une problématique concrète de sécurité des aéronefs. Le domaine
de vol post-décroché est un domaine aérodynamiquement complexe où l'écoulement autour …
de vol post-décroché est un domaine aérodynamiquement complexe où l'écoulement autour …