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damar-wicaksono / uqtestfuns

A Python3 library of test functions from the uncertainty quantification community with a common interface for validation and benchmarking purposes.
https://uqtestfuns.readthedocs.io/en/latest/
MIT License
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Implement the quadratic RS reliability problem #270

Closed damar-wicaksono closed 1 year ago

damar-wicaksono commented 1 year ago

This is another variant of the RS problem based on the thesis of Warts[^1]. The limit-state function reads:

$$ g(\boldsymbol{x}) = x_1 - x_2^2, $$

where $X_1 \sim \mathcal{N}(11.0, 1.0)$ and $X_2 \sim \mathcal{N}(1.5, 0.5)$.

[^1]: P. H. Waarts, Structural reliability using finite element analysis: an appraisal of DARS: directional adaptive response surface sampling. Delft: Delft University Press, 2000. [Online]. Available: https://repository.tudelft.nl/islandora/object/uuid%3A6e6d9a76-fd12-4220-9dc1-36515b3f638d

damar-wicaksono commented 1 year ago

This issue has been resolved by PR #275.