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 …
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 …
Static homotopy response analysis of structure with random variables of arbitrary distributions by minimizing stochastic residual error
The modelling of realistic engineering structures with uncertainties often involves various
probabilistic distribution types, which bring forward higher requirements for the generality of …
probabilistic distribution types, which bring forward higher requirements for the generality of …
Adaptive sparse polynomial chaos expansion based on least angle regression
Polynomial chaos (PC) expansions are used in stochastic finite element analysis to
represent the random model response by a set of coefficients in a suitable (so-called …
represent the random model response by a set of coefficients in a suitable (so-called …
[BOEK][B] Structural reliability
M Lemaire - 2013 - books.google.com
Page 1 Structural Reliability Maurice Lemaire in collaboration with Alaa Chateauneuf and
Jean-Claude Mitteau LSTE WILEY Page 2 Contents Foreword Preface Chapter 1. Introduction …
Jean-Claude Mitteau LSTE WILEY Page 2 Contents Foreword Preface Chapter 1. Introduction …
Time-dependent reliability analysis through response surface method
In time-dependent reliability analysis, the first-passage method has been extensively used to
evaluate structural reliability under time-variant service circumstances. To avoid computing …
evaluate structural reliability under time-variant service circumstances. To avoid computing …
The PHI2 method: a way to compute time-variant reliability
Time-variant reliability problems appear in the engineering practice when (a) the material
properties of the structure deteriorate in time or (b) random loading modelled as random …
properties of the structure deteriorate in time or (b) random loading modelled as random …
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 …
Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion
The computational efficiency of random field representations with the Karhunen–Loève (KL)
expansion relies on the solution of a Fredholm integral eigenvalue problem. This …
expansion relies on the solution of a Fredholm integral eigenvalue problem. This …
Adaptive sparse polynomial chaos expansions for uncertainty propagation and sensitivity analysis
G Blatman - 2009 - inis.iaea.org
Mathematical models are widely used in many science disciplines, such as physics, biology
and meteorology. They are aimed at better understanding and explaining real-world …
and meteorology. They are aimed at better understanding and explaining real-world …