A non-intrusive method to add finite element-based random variables to a probabilistic design code

Stochastic analysis using the generalized perturbation stable node-based smoothed finite element method

“…For the purpose of reducing the computational cost, some modified works have been accomplished in [8][9][10]. However, MCs is still the most stable and robust simulation through sacrificing tremendous time and usually used as the reference solution contrasted with other probabilistic methods [11,12]. Gradually, with the development of stochastic finite element, the spectral stochastic finite element method (SSFEM) has been presented by Ghanem and Spanos [13] as the extension of the deterministic finite element method.…”

Parameterized reduced order models from a single mesh using hyper-dual numbers

“…reduced order model (PROM) of the system (Hong et al, 2012(Hong et al, , 2013Kammer and Nimityongskul, 2011;Kammer and Krattiger, 2013;Momin et al, 2010;Voorhees et al, 2011). This allows the behavior of the system to be predicted inexpensively over a range of perturbations based on a set of simulations distributed about the nominal design.…”