Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation

[+] Author and Article Information
R. Ghanem

Civil Engineering Department, The Johns Hopkins University, Baltimore, MD 21218

J. Appl. Mech 65(4), 1004-1009 (Dec 01, 1998) (6 pages) doi:10.1115/1.2791894 History: Received July 02, 1997; Revised January 10, 1998; Online October 25, 2007


A procedure is developed to integrate analytical solutions to problems featuring random media with Monte Carlo simulations in order to improve the efficiency of the simulations. This is achieved by developing a common theoretical framework that encompasses Monte Carlo procedures as well as various expansion solution techniques. This framework can be perceived as a natural extension of hybrid deterministic finite element procedures whereby refinement is achieved by simultaneously increasing the number of elements as well as the degree of interpolation within each element.

Copyright © 1998 by The American Society of Mechanical Engineers
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