A method for the validation of predictive computations using a stochastic approach

Journal of Offshore Mechanics and Arctic Engineering

Volumn 126, Issue 3, 2004, Pages 227-234

  Pellissetti, Manuel ^a   Ghanem, Roger ^b  

^a UNIVERSITY OF INNSBRUCK   (Austria)

^b Johns Hopkins University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ERROR ANALYSIS; FINITE ELEMENT METHOD; NUMERICAL ANALYSIS; SENSITIVITY ANALYSIS; STATISTICAL METHODS;

BERNOULLI BEAMS; DIRECT DIFFERENTIATION METHODS (DDM); FLUCTUATING MATERIAL PROPERTIES; RESPONSE SENSITIVITIES;

RANDOM PROCESSES;

FINITE ELEMENT METHOD; MECHANICAL PROPERTY; STOCHASTICITY;

EID: 5444260462     PISSN: 08927219     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1782915     Document Type: Article

References (7)

1. Ghanem, Roger G., and Spanos, Pol D. 1991, Stochastic Finite Elements: A Spectral Approach. Springer-Verlag, Berlin, Germany.
2. Ghanem, R., and Red-Horse, J., 1999, Propagation of Uncertainty in Complex Physical Systems Using a Stochastic Finite Element Approach. Physica D, 133(1-4), pp. 137-144.
3. Ghanem, Roger G., 1999, Ingredients for a General Purpose Stochastic Finite Elements Implementation. Computer Methods in Applied Mechanics and Engineering, 165, pp. 19-34.
4. Loeve, M., 1977, Probability Theory. Springer-Verlag, New York, 4th edition,
5. Cameron, R. H., and Martin, W. T., 1947, The Orthogonal Development of Non-linear Functionals in Series of Fourier-Hermite Functionals. Ann. Math., 48(2), pp. 385-392.
6. Kleiber, M., Antunez, H., Hien, T. D., and Kowalczyk, P., 1997, Parameter Sensitivity in Nonlinear Mechanics: Theory and Finite Element Computations. John Wiley & Sons Ltd.
7. Spanos, P. D., and Roger, Ghanem, 1989, Stochastic Finite Element Expansion for Random Media. J. Eng. Mech., 115(5), pp. 1035-1053.