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Stochastic Finite Elements With Multiple Random Non-Gaussian Properties (1999)
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BibTeX
@MISC{Ghanem99stochasticfinite,
author = {Roger Ghanem},
title = {Stochastic Finite Elements With Multiple Random Non-Gaussian Properties },
year = {1999}
}
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Abstract
The spectral formulation of the stochastic finite-element method is applied to the problem of heat conduction in a random medium. Specifically, the conductivity of the medium, as well as its heat capacity are treated as uncorrelated random processes with spatial random fluctuations. Using the spectral stochastic finiteelement method, this paper analyzes the sensitivity of heat conduction problems to probabilistic models of random data. In particular, both the thermal conductivity and the heat capacity of the medium are assumed to be uncertain. The implementation of the method is demonstrated for both Gaussian and lognormal material properties, modeled either as random variables or random processes.
Keyphrases
multiple random non-gaussian property stochastic finite element heat capacity random process spatial random fluctuation thermal conductivity probabilistic model random data lognormal material property uncorrelated random spectral formulation stochastic finite-element method heat conduction spectral stochastic finiteelement method random variable heat conduction problem random medium
