Abstract
According to the non-probabilistic finite element algorithms, the random finite element equations are translated into the interval finite element equations. Firstly, with the concept of confidence interval in the probability, a interval number can be taken as the random variable with the uniform distribution. Secondly, the uniform random Monte Carlo (MC) finite element method and optimization finite element method are presented. Finally, the example shown, when the numbers of random parameters are small, the two algorithms are all effective. But when numbers of random parameters are large, only the uniform random finite element method has the stabilized solving ability.
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