A coupled adaptive radial-based importance sampling and single-loop Kriging surrogate model for time-dependent reliability analysis

AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation

Benjamin Echard, Nicolas Gayton, Maurice Lemaire · Structural Safety · 2011 · 1.9K citations

Computing, Computational Engineering, Machine Learning +13

Uniformly distributed sequences with an additional uniform property

I. M. Sobol · USSR Computational Mathematics and Mathematical Physics · 1976 · 757 citations

Engineering, Decision Sciences, Probability Theory +6

Moment methods for structural reliability

Yan‐Gang Zhao, Tetsuro Ono · Structural Safety · 2001 · 626 citations

Engineering, Civil Engineering, Computational Structural Analysis +13

The PHI2 method: a way to compute time-variant reliability

C. Andrieu-Renaud, Bruno Sudret, Maurice Lemaire · Reliability Engineering & System Safety · 2003 · 442 citations

Computing, Computer Science, Fault-tolerant Computing +10

The equivalent extreme-value event and evaluation of the structural system reliability

Jie Li, Jianbing Chen, Wenliang Fan · Structural Safety · 2006 · 435 citations

Engineering, Civil Engineering, Systems Engineering +13