Abstract: The maximum value of a random field over a subdomain is a random variable whose probability distribution can be determined from the first-order marginal probability density function and autocorrelation function of the ...

Abstract: The maximum value of a random field over a subdomain is a random variable whose probability distribution can be determined from the first-order marginal probability density function and autocorrelation function of the ...

Abstract: A short-range-correlation (SRC) model is introduced in the framework of Markov/Gibbs random field theory to characterize and simulate random media. The Metropolis spin-flip algorithm is applied ...

Abstract: Discrete response of structures often is a key probabilistic quantity of interest. For example, one may need to identify the probability of a binary event, such as whether a structure has buckled. This study used an adaptive ...