Comparison of finite element reliability methods

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A combined Importance Sampling and Kriging reliability method for small failure probabilities with time-demanding numerical models (2013, methodology): “Polynomial Chaos [11,12] can be used to avoid this problem.”
Adaptive sparse polynomial chaos expansion based on least angle regression (2011, background): “Problem statement Let us study the problem of the settlement of a foundation on an elastic soil layer showing spatial variability in its material properties, already addressed in [31, 55].”
Reliability-based design optimization using kriging surrogates and subset simulation (2011, background): “…polynomial response surfaces (Faravelli, 1989; Bucher and Bourgund, 1990; Kim and Na, 1997; Das and Zheng, 2000), polynomial chaos expansions (Sudret and Der Kiureghian, 2002; Berveiller et al., 2006; Blatman and Sudret, 2008, 2010), support vector machines (Hurtado, 2004; Deheeger, 2008;…”