Spectral Stochastic Finite Element Method for Log-Normal Uncertainty

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  • 対数正規分布を有する不確定性のためのスペクトル確率有限要素法

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Log-normal distribution is widely used to approximate probability density distributions of uncertain parameters in stochastic problems. This paper presents an analytical expression of the expectation of the product of log-normal stochastic variable and polynomial chaos and it enables efficient computation of spectral stochastic finite element method in the context of log-normal uncertainties. Accuracy of the presented method is validated through numerical simulations and comparison with Monte Carlo Simulation.

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