Global sensitivity analysis using polynomial chaos expansions

B Sudret - Reliability engineering & system safety, 2008 - Elsevier
Global sensitivity analysis (SA) aims at quantifying the respective effects of input random
variables (or combinations thereof) onto the variance of the response of a physical or …

Uncertainties and dynamic problems of bolted joints and other fasteners

RA Ibrahim, CL Pettit - Journal of sound and Vibration, 2005 - Elsevier
This review article provides an overview of the problems pertaining to structural dynamics
with bolted joints. These problems are complex in nature because every joint involves …

Numerical challenges in the use of polynomial chaos representations for stochastic processes

BJ Debusschere, HN Najm, PP Pébay, OM Knio… - SIAM journal on scientific …, 2004 - SIAM
This paper gives an overview of the use of polynomial chaos (PC) expansions to represent
stochastic processes in numerical simulations. Several methods are presented for …

Stochastic spectral methods for efficient Bayesian solution of inverse problems

YM Marzouk, HN Najm, LA Rahn - Journal of Computational Physics, 2007 - Elsevier
We present a reformulation of the Bayesian approach to inverse problems, that seeks to
accelerate Bayesian inference by using polynomial chaos (PC) expansions to represent …

Dimensionality reduction and polynomial chaos acceleration of Bayesian inference in inverse problems

YM Marzouk, HN Najm - Journal of Computational Physics, 2009 - Elsevier
We consider a Bayesian approach to nonlinear inverse problems in which the unknown
quantity is a spatial or temporal field, endowed with a hierarchical Gaussian process prior …

Stochastic model updating: part 1—theory and simulated example

C Mares, JE Mottershead, MI Friswell - Mechanical systems and signal …, 2006 - Elsevier
The usual model updating method may be considered to be deterministic since it uses
measurements from a single test system to correct a nominal finite element model. There …

Uncertainty quantification in chemical systems

HN Najm, BJ Debusschere, YM Marzouk… - … journal for numerical …, 2009 - Wiley Online Library
We demonstrate the use of multiwavelet spectral polynomial chaos techniques for
uncertainty quantification in non‐isothermal ignition of a methane–air system. We employ …

Quantifying uncertainty in chemical systems modeling

MT Reagan, HN Najm, PP Pébay… - … journal of chemical …, 2005 - Wiley Online Library
This study compares two techniques for uncertainty quantification in chemistry computations,
one based on sensitivity analysis and error propagation, and the other on stochastic …

Uncertainty quantification of fuel variability effects on high hydrogen content syngas combustion

K Zhang, X Jiang - Fuel, 2019 - Elsevier
Fuel variability effects on high hydrogen content syngas combustion physicochemical
properties and NO x emission characteristics are investigated invoking polynomial chaos …

Adaptive polynomial chaos for gas turbine compression systems performance analysis

T Ghisu, GT Parks, JP Jarrett, PJ Clarkson - AIAA journal, 2010 - arc.aiaa.org
ENGINEERING design commonly assumes nominal values for uncertain parameters to
simplify the design process. Unfortunately, this simplification can lead to a product that …