Background
Ghanem, Roger G. was born on March 12, 1963 in Beirut, Lebanon. Came to the United States, 1984. Son of Georges M. and Georgette (Mcheileh) Ghanem.
( Discrepancies frequently occur between a physical syste...)
Discrepancies frequently occur between a physical system's responses and predictions obtained from mathematical models. The Spectral Stochastic Finite Element Method (SSFEM) has proven successful at forecasting a variety of uncertainties in calculating system responses. This text analyzes a class of discrete mathematical models of engineering systems, identifying key issues and reviewing relevant theoretical concepts, with particular attention to a spectral approach. Random system parameters are modeled as second-order stochastic processes, defined by their mean and covariance functions. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is employed to represent these processes in terms of a countable set of uncorrected random variables, casting the problem in a finite dimensional setting. Various spectral approximations for the stochastic response of the system are obtained. Implementing the concept of generalized inverse leads to an explicit expression for the response process as a multivariate polynomial functional of a set of uncorrelated random variables. Alternatively, the solution process is treated as an element in the Hilbert space of random functions, in which a spectral representation is identified in terms of polynomial chaos. In this context, the solution process is approximated by its projection onto a finite subspace spanned by these polynomials.
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Ghanem, Roger G. was born on March 12, 1963 in Beirut, Lebanon. Came to the United States, 1984. Son of Georges M. and Georgette (Mcheileh) Ghanem.
Bachelor of Engineering, American University of Beirut, 1984. Master of Engineering, Rice University, 1985. Doctor of Philosophy, Rice University, 1989.
Research assistant, Rice U., Houston, 1985-1989; postdoctoral research associate, Rice U., 1989-1991; visiting assistant professor, State University of New York, Buffalo, 1991-1992; assistant professor, State University of New York, Buffalo, 1992-1995; assistant professor, Johns Hopkins University, since 1995.
( Discrepancies frequently occur between a physical syste...)
Member American Society of Civil Engineers, American Society of Mechanical Engineers, American Academy Mechanics, Society of Industrial and Applied Mathematics, Association for Computing Machinery.