Operator norm theory as an efficient tool to propagate hybrid uncertainties and calculate imprecise probabilities

Application of directional importance sampling for estimation of first excursion probabilities of linear structural systems subject to stochastic Gaussian loading

(2020) Mauricio A. Misraji et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Efficient uncertainty propagation for parameterized p-box using sparse-decomposition-based polynomial chaos expansion

(2020) H.B. Liu et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Propagation of uncertain structural properties described by imprecise Probability Density Functions via response surface method

(2020) Alba Sofi et al.   PROBABILISTIC ENGINEERING MECHANICS

Adaptive experiment design for probabilistic integration

(2020) Pengfei Wei et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Bounding the first excursion probability of linear structures subjected to imprecise stochastic loading

(2020) Matthias G.R. Faes et al.   COMPUTERS & STRUCTURES

Non-intrusive stochastic analysis with parameterized imprecise probability models: I. Performance estimation

(2019) Pengfei Wei et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

The Bhattacharyya distance: Enriching the P-box in stochastic sensitivity analysis

(2019) Sifeng Bi et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

On auto‐ and cross‐interdependence in interval field finite element analysis

(2019) Matthias Faes et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Robust uncertainty quantification in structural dynamics under scarse experimental modal data: A Bayesian-interval approach

(2019) Maurice Imholz et al.   JOURNAL OF SOUND AND VIBRATION

Imprecise random field analysis with parametrized kernel functions

(2019) Matthias Faes et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Polymorphic uncertainty modeling for the simulation of geometric imperfections in probabilistic design of cylindrical shells

(2019) M. Fina et al.   STRUCTURAL SAFETY

Robust propagation of probability boxes by interval predictor models

(2019) Jonathan Sadeghi et al.   STRUCTURAL SAFETY

On the quantification of aleatory and epistemic uncertainty using Sliced-Normal distributions

(2019) Luis G. Crespo et al.   SYSTEMS & CONTROL LETTERS

Ellipsoidal and Gaussian Kalman Filter Model for Discrete-Time Nonlinear Systems

(2019) Ligang Sun et al.   Mathematics

Structural reliability analysis with imprecise random and interval fields

(2018) Wei Gao et al.   APPLIED MATHEMATICAL MODELLING

On the quantification and efficient propagation of imprecise probabilities resulting from small datasets

(2018) Jiaxin Zhang et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

A novel stochastic linearization framework for seismic demand estimation of hysteretic MDOF systems subject to linear response spectra

(2018) Ioannis P. Mitseas et al.   STRUCTURAL SAFETY

Computing tight bounds of structural reliability under imprecise probabilistic information

(2018) Cao Wang et al.   COMPUTERS & STRUCTURES

A multivariate interval approach for inverse uncertainty quantification with limited experimental data

(2018) Matthias Faes et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

An interval finite element method for the analysis of structures with spatially varying uncertainties

(2018) Alba Sofi et al.   ADVANCES IN ENGINEERING SOFTWARE

Multivariate dependent interval finite element analysis via convex hull pair constructions and the Extended Transformation Method

(2018) Matthias Faes et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Structural reliability analysis for p-boxes using multi-level meta-models

(2017) Roland Schöbi et al.   PROBABILISTIC ENGINEERING MECHANICS

Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review

(2017) C. Jiang et al.   STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION

Recurrent neural networks and proper orthogonal decomposition with interval data for real-time predictions of mechanised tunnelling processes

(2017) S. Freitag et al.   COMPUTERS & STRUCTURES

Analysis of dynamical processes under consideration of polymorphic uncertainty

(2015) W. Graf et al.   STRUCTURAL SAFETY

Multilevel Monte Carlo methods

(2015) Michael B. Giles   ACTA NUMERICA

Imprecise probabilities in engineering analyses

(2013) Michael Beer et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Structural reliability analysis on the basis of small samples: An interval quasi-Monte Carlo method

(2012) Hao Zhang et al.   MECHANICAL SYSTEMS AND SIGNAL PROCESSING

Interval importance sampling method for finite element-based structural reliability assessment under parameter uncertainties

(2012) Hao Zhang   STRUCTURAL SAFETY

Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique

(2011) C. Jiang et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

General purpose software for efficient uncertainty management of large finite element models

(2011) Edoardo Patelli et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Non-probabilistic finite element analysis for parametric uncertainty treatment in applied mechanics: Recent advances

(2010) David Moens et al.   FINITE ELEMENTS IN ANALYSIS AND DESIGN

Adaptive sparse polynomial chaos expansion based on least angle regression

(2010) Géraud Blatman et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Uncertain linear systems in dynamics: Retrospective and recent developments by stochastic approaches

(2009) G.I. Schuëller et al.   ENGINEERING STRUCTURES

The stochastic finite element method: Past, present and future

(2008) George Stefanou   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING