Geometric insight into the challenges of solving high-dimensional reliability problems-Reference-Cited by-同舟云学术

Geometric insight into the challenges of solving high-dimensional reliability problems

Published:2008-04 Issue:2-3 Volume:23 Page:208-218
ISSN:0266-8920
Container-title:Probabilistic Engineering Mechanics
language:en
Short-container-title:Probabilistic Engineering Mechanics

Author:

Katafygiotis L.S.,Zuev K.M.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Condensed Matter Physics,Nuclear Energy and Engineering,Civil and Structural Engineering,Statistical and Nonlinear Physics

Reference6 articles.

1. Estimation of small failure probabilities in high dimensions by subset simulation;Au;Probabilistic Engineering Mechanics,2001

2. Der Kiureghian A, Li C-C. Nonlinear random vibration analysis through optimization. In: Proceedings of the seventh IFIP WG 7.5 conference on optimization of structural systems. 1996. p. 197–206

3. A normal approximation for the chi-square distribution;Luisa;Computational Statistics & Data Analysis,2005

4. On the interpretation of χ2 from contingency tables and calculations of P;Fisher;Journal of the Royal Statistical Society A,1922

5. Katafygiotis LS, Cheung SH. Application of spherical subset simulation method and auxiliary domain method on a benchmark reliability study, Structural Safety 2006 (in print)

Cited by 133 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. An improved sequential importance sampling method for structural reliability analysis of high dimensional problems;Structures;2024-10

2. Covariance-based MCMC for high-dimensional Bayesian updating with Sequential Monte Carlo;Probabilistic Engineering Mechanics;2024-07

3. Consensus-Based Rare Event Estimation;SIAM Journal on Scientific Computing;2024-05-02

4. Meta-model based sequential importance sampling method for structural reliability analysis under high dimensional small failure probability;Probabilistic Engineering Mechanics;2024-04

5. Failure probability estimation with failure samples: An extension of the two-stage Markov chain Monte Carlo simulation;Mechanical Systems and Signal Processing;2024-04