Structural reliability under non-Gaussian stochastic behavior

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A comparative study of uncertainty propagation methods for black-box-type problems (2008, methodology): “Approaches using the Latin Hyper cube sampling ( Choi et al. 2004 ) and the numerical integration (Xiu 2007) have been reported.”
Global sensitivity analysis using polynomial chaos expansions (2008, methodology): “Alternatively, non intrusive methods have been recently proposed (Field, 2002; Ghiocel and Ghanem, 2002; Choi et al., 2004; Berveiller et al., 2006).”
The stochastic finite element method: Past, present and future (2009, methodology): “In the non-intrusive approaches presented in [13– 15,26], based on a stochastic response surface, the PCE is used to create a surrogate model through a response surface without interfering with the FE procedure i.”
Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009, methodology): “Regression Regression methods [15, 27, 28, 123] rely on the same principles as classical response surface methods [62].”