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 …
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 …
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
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 processes in numerical simulations. Several methods are presented for …
Stochastic spectral methods for efficient Bayesian solution of inverse problems
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 …
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 …
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 …
measurements from a single test system to correct a nominal finite element model. There …
Uncertainty quantification in chemical systems
We demonstrate the use of multiwavelet spectral polynomial chaos techniques for
uncertainty quantification in non‐isothermal ignition of a methane–air system. We employ …
uncertainty quantification in non‐isothermal ignition of a methane–air system. We employ …
Quantifying uncertainty in chemical systems modeling
This study compares two techniques for uncertainty quantification in chemistry computations,
one based on sensitivity analysis and error propagation, and the other on stochastic …
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
Fuel variability effects on high hydrogen content syngas combustion physicochemical
properties and NO x emission characteristics are investigated invoking polynomial chaos …
properties and NO x emission characteristics are investigated invoking polynomial chaos …
Adaptive polynomial chaos for gas turbine compression systems performance analysis
ENGINEERING design commonly assumes nominal values for uncertain parameters to
simplify the design process. Unfortunately, this simplification can lead to a product that …
simplify the design process. Unfortunately, this simplification can lead to a product that …