The stochastic finite element method: past, present and future
G Stefanou - Computer methods in applied mechanics and …, 2009 - Elsevier
A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …
Structural reliability and stochastic finite element methods: State-of-the-art review and evidence-based comparison
Purpose This paper aims to provide a comprehensive review of uncertainty quantification
methods supported by evidence-based comparison studies. Uncertainties are widely …
methods supported by evidence-based comparison studies. Uncertainties are widely …
Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations
HG Matthies, A Keese - Computer methods in applied mechanics and …, 2005 - Elsevier
Stationary systems modelled by elliptic partial differential equations—linear as well as
nonlinear—with stochastic coefficients (random fields) are considered. The mathematical …
nonlinear—with stochastic coefficients (random fields) are considered. The mathematical …
Dynamic load identification for stochastic structures based on Gegenbauer polynomial approximation and regularization method
Based on the Gegenbauer polynomial expansion theory and regularization method, an
analytical method is proposed to identify dynamic loads acting on stochastic structures …
analytical method is proposed to identify dynamic loads acting on stochastic structures …
Latin hypercube sampling for stochastic finite element analysis
AMJ Olsson, GE Sandberg - Journal of Engineering Mechanics, 2002 - ascelibrary.org
A Latin hypercube sampling method, including a reduction of spurious correlation in input
data, is suggested for stochastic finite element analysis. This sampling procedure strongly …
data, is suggested for stochastic finite element analysis. This sampling procedure strongly …
A generalized spectral decomposition technique to solve a class of linear stochastic partial differential equations
A Nouy - Computer Methods in Applied Mechanics and …, 2007 - Elsevier
We propose a new robust technique for solving a class of linear stochastic partial differential
equations. The solution is approximated by a series of terms, each of which being the …
equations. The solution is approximated by a series of terms, each of which being the …
Stochastic modeling of uncertainties in computational structural dynamics—recent theoretical advances
C Soize - Journal of Sound and Vibration, 2013 - Elsevier
This paper deals with a short overview on stochastic modeling of uncertainties. We introduce
the types of uncertainties, the variability of real systems, the types of probabilistic …
the types of uncertainties, the variability of real systems, the types of probabilistic …
Stochastic models of uncertainties in computational mechanics
C Soize - 2012 - ascelibrary.org
Stochastic Models of Uncertainties in Computational Mechanics: Front Matter Page 1
Lecture Notes in Mechanics 2 Stochastic Models of Uncertainties in Computational …
Lecture Notes in Mechanics 2 Stochastic Models of Uncertainties in Computational …
On the deterministic solution of multidimensional parametric models using the proper generalized decomposition
This paper focuses on the efficient solution of models defined in high dimensional spaces.
Those models involve numerous numerical challenges because of their associated curse of …
Those models involve numerous numerical challenges because of their associated curse of …
A computational study on the uncertainty quantification of failure of clays with a modified Cam-Clay yield criterion
AA Savvides, M Papadrakakis - SN Applied Sciences, 2021 - Springer
In this study, the quantitative effect of the random distribution of the soil material properties to
the probability density functions of the failure load and displacements is presented. A …
the probability density functions of the failure load and displacements is presented. A …