A Review of Model Order Reduction Methods for Large‐Scale Structure Systems

K Lu, K Zhang, H Zhang, X Gu, Y Jin, S Zhao… - Shock and …, 2021 - Wiley Online Library
The large‐scale structure systems in engineering are complex, high dimensional, and
variety of physical mechanism couplings; it will be difficult to analyze the dynamic behaviors …

A robust and efficient stepwise regression method for building sparse polynomial chaos expansions

S Abraham, M Raisee, G Ghorbaniasl, F Contino… - Journal of …, 2017 - Elsevier
Polynomial Chaos (PC) expansions are widely used in various engineering fields for
quantifying uncertainties arising from uncertain parameters. The computational cost of …

Robust optimization of a marine current turbine using a novel robustness criterion

MS Karimi, R Mohammadi, M Raisee… - Energy Conversion and …, 2023 - Elsevier
The present paper aims to establish a systematic robust optimization framework for the
hydrodynamic performance of marine current turbines against uncertain conditions. To this …

Randomized dynamic mode decomposition for nonintrusive reduced order modelling

DA Bistrian, IM Navon - International Journal for Numerical …, 2017 - Wiley Online Library
This paper focuses on a new framework for obtaining a nonintrusive (ie, not requiring
projecting of the governing equations onto the reduced basis modes) reduced order model …

Sparse polynomial chaos expansion based on D-MORPH regression

K Cheng, Z Lu - Applied Mathematics and Computation, 2018 - Elsevier
Polynomial chaos expansion (PCE) is widely used by engineers and modelers in various
engineering fields for uncertainty analysis. The computational cost of full PCE is …

[HTML][HTML] A spectral surrogate model for stochastic simulators computed from trajectory samples

N Lüthen, S Marelli, B Sudret - Computer Methods in Applied Mechanics …, 2023 - Elsevier
Stochastic simulators are non-deterministic computer models which provide a different
response each time they are run, even when the input parameters are held at fixed values …

Stochastic model reduction for polynomial chaos expansion of acoustic waves using proper orthogonal decomposition

N El Moçayd, MS Mohamed, D Ouazar… - Reliability Engineering & …, 2020 - Elsevier
We propose a non-intrusive stochastic model reduction method for polynomial chaos
representation of acoustic problems using proper orthogonal decomposition. The random …

An efficient multifidelity ℓ1-minimization method for sparse polynomial chaos

S Salehi, M Raisee, MJ Cervantes… - Computer Methods in …, 2018 - Elsevier
Abstract The Polynomial Chaos Expansion (PCE) methodology is widely used for
uncertainty quantification of stochastic problems. The computational cost of PCE increases …

Multi-level multi-fidelity sparse polynomial chaos expansion based on Gaussian process regression

K Cheng, Z Lu, Y Zhen - Computer Methods in Applied Mechanics and …, 2019 - Elsevier
The polynomial chaos expansion (PCE) approaches have drawn much attention in the field
of simulation-based uncertainty quantification (UQ) of stochastic problem. In this paper, we …

Uncertainty quantification of heat transfer in a microchannel heat sink with random surface roughness

B Sterr, E Mahravan, D Kim - International Journal of Heat and Mass …, 2021 - Elsevier
To numerically investigate the stochastic heat transfer performance of a microchannel heat
sink, a randomly generated, rough surface profile with a prespecified autocorrelation …