Accuracy improvement of the most probable point-based dimension reduction method using the hessian matrix

Author:

Kang Seong Bin1,Park Jeong Woo1,Lee Ikjin1

Affiliation:

1. Korea Advanced Institute of Science and Technology; 291, Daehak-ro, Yuseong-gu Daejeon Korea

Funder

Technology Innovation Program

Ministry of Trade, Industry & Energy (MOTIE, Korea)

Publisher

Wiley

Subject

Applied Mathematics,General Engineering,Numerical Analysis

Reference36 articles.

1. Exact and invariant second-moment code format;Hasofer;Journal of the Engineering Mechanics division,1974

2. Design potential method for robust system parameter design;Tu;AIAA Journal,2001

3. Asymptotic approximations for multinormal integrals;Breitung;Journal of Engineering Mechanics,1984

4. Improvement of second-order reliability estimates by importance sampling;Hohenbichler;Journal of Engineering Mechanics,1988

5. Distribution of quadratic forms in normal space-application to structural reliability;Tvedt;Journal of Engineering Mechanics,1990

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