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 …
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
Polynomial Chaos (PC) expansions are widely used in various engineering fields for
quantifying uncertainties arising from uncertain parameters. The computational cost of …
quantifying uncertainties arising from uncertain parameters. The computational cost of …
Robust optimization of a marine current turbine using a novel robustness criterion
The present paper aims to establish a systematic robust optimization framework for the
hydrodynamic performance of marine current turbines against uncertain conditions. To this …
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 …
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 …
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
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 …
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 …
representation of acoustic problems using proper orthogonal decomposition. The random …
An efficient multifidelity ℓ1-minimization method for sparse polynomial chaos
Abstract The Polynomial Chaos Expansion (PCE) methodology is widely used for
uncertainty quantification of stochastic problems. The computational cost of PCE increases …
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 …
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
To numerically investigate the stochastic heat transfer performance of a microchannel heat
sink, a randomly generated, rough surface profile with a prespecified autocorrelation …
sink, a randomly generated, rough surface profile with a prespecified autocorrelation …