Anisotropic multi-element polynomial chaos expansion for high-dimensional non-linear structural problems

AA Basmaji, A Fau, JH Urrea-Quintero… - Probabilistic …, 2022 - Elsevier
This work presents an h p-adaptive variant of multi-element polynomial chaos expansion
(ME-gPCE), referred to as anisotropic multi-element polynomial chaos expansion (AME …

Surrogate modeling for stochastic dynamical systems by combining nonlinear autoregressive with exogenous input models and polynomial chaos expansions

CV Mai, MD Spiridonakos, EN Chatzi… - … Journal for Uncertainty …, 2016 - dl.begellhouse.com
The application of polynomial chaos expansions (PCEs) to the propagation of uncertainties
in stochastic dynamical models is well-known to face challenging issues. The accuracy of …

Random dynamical system in time domain: A POD-PC model

E Jacquelin, N Baldanzini, B Bhattacharyya… - … Systems and Signal …, 2019 - Elsevier
Propagating uncertainties through mechanical systems has been widely studied for the last
thirty years. In particular metamodels based on polynomial chaos expansion (PCE) have …

A polynomial chaos method for arbitrary random inputs using B-splines

C Eckert, M Beer, PD Spanos - Probabilistic Engineering Mechanics, 2020 - Elsevier
Isogeometric analysis which extends the finite element method through the usage of B-
splines has become well established in engineering analysis and design procedures. In this …

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 …

Consideration of multi-variable uncertainty using the GPC method for the dynamic study of a two-stage gearbox of a wind turbine

M Hadj Kacem, A El Hami, K Dammak… - Mechanics of …, 2024 - Taylor & Francis
This paper deals with the problem of the uncertainties interaction in the design parameters
of a two-stage gearbox of a wind turbine. The purpose of the dynamic study is to minimize …

Uncertainty propagation of dam break flow using the stochastic non-intrusive B-splines Bézier elements-based method

A Abdedou, A Soulaïmani, GW Tchamen - Journal of Hydrology, 2020 - Elsevier
The non-intrusive B-splines Bézier elements method (BSBEM) is used to perform uncertainty
propagation for complex dam break flow models. The predictive efficiency of the BSBEM is …

Surrogate modelling for stochastic dynamical systems by combining NARX models and polynomial chaos expansions

CV Mai, MD Spiridonakos, EN Chatzi… - arXiv preprint arXiv …, 2016 - arxiv.org
The application of polynomial chaos expansions (PCEs) to the propagation of uncertainties
in stochastic dynamical models is well-known to face challenging issues. The accuracy of …

An Adaptive Variable Partitioning Approach to Quantifying High-Dimensional Uncertainties in Frequency Selective Surfaces

B Sun, S Zhao, X Zhang, Z Gong… - IEEE Transactions on …, 2024 - ieeexplore.ieee.org
Due to the inherent errors during the fabrication process, the frequency selective surface
(FSS) technique suffers high-dimensional uncertainties, which is especially severe for …

[HTML][HTML] Power module heat sink design optimization with ensembles of data-driven polynomial chaos surrogate models

D Loukrezis, H De Gersem - e-Prime-Advances in Electrical Engineering …, 2022 - Elsevier
We consider the problem of optimizing the design of a heat sink used for cooling an
insulated gate bipolar transistor (IGBT) power module. The thermal behavior of the heat sink …