Uncertainty analyses in the finite-difference time-domain method

IEEE Transactions on Electromagnetic Compatibility

Volumn 52, Issue 1, 2010, Pages 155-163

  Edwards, Robert S ^a   Marvin, Andrew C ^a   Porter, Stuart J ^a  

^a UNIVERSITY OF YORK   (United Kingdom)

Author keywords

Computational electromagnetism; Finite difference time domain (FDTD); Method of moments (MoM); Monte Carlo; Polynomial chaos; Uncertainty analysis

Indexed keywords

COMPUTATIONAL ELECTROMAGNETISM; COMPUTATIONALLY EFFICIENT; MONTE CARLO; POLYNOMIAL CHAOS;

CHAOS THEORY; COMPUTATIONAL ELECTROMAGNETICS; COMPUTATIONAL METHODS; ELECTROMAGNETIC COMPATIBILITY; FINITE DIFFERENCE TIME DOMAIN METHOD; METHOD OF MOMENTS; MONTE CARLO METHODS; POLYNOMIALS; PULSE CODE MODULATION;

UNCERTAINTY ANALYSIS;

EID: 77249167121     PISSN: 00189375     EISSN: None     Source Type: Journal    
DOI: 10.1109/TEMC.2009.2034645     Document Type: Article

References (20)

1. C. Chauvìere, J. S. Hesthaven, and L. Lurati, "Computational modeling of uncertainty in time-domain electromagnetics," SIAM J. Sci. Comput., vol.28, no.2, pp. 751-775, Jul. 2006.
2. A. Ajayi, P. Ingrey, P. Sewell, and C. Christopolous, "Direct computation of statistical variations in electromagnetic problems," IEEE Trans. Electromagn. Compat., vol.50, no.2, pp. 751-775, May 2008.
3. J. Pereira, L. de Menezes, and A. Borges, "Statistical analysis of induced ground voltage using the TLM+UT method," in Proc. IEEE Int. Symp. Electromagn. Compat. (EMC 2008), pp. 1-4.
4. L. de Menezes, A. Ajayi, C. Christopoulos, P. Sewell, and G. A. Borges, "Efficient extraction of statistical moments in electromagnetic problems solved with the method of moments," in Proc. SBMO/IEEE MTT-S Int. Microw. Optoelectron. Conf. (IMOC 2007), pp. 757-760.
5. ISO, Guide to the Expression of Uncertainty in Measurement, Int. Standards Org., Geneva, Switzerland, 1993.
6. UKAS, The Expression of Uncertainty in EMC Testing,1st ed. Middlesex, U.K.: UKAS Publication LAB 34, 2002.
7. A. P. Duffy, A. J. M. Martin, A. Orlandi, G. Antonini, T. M. Benson, and M. S. Woolfson, "Feature selective vaidation (FSV) for validation of computational electromagnetics (CEM)-Part I: The FSV method," IEEE Trans. Electromagn. Compat., vol.48, no.3, pp. 449-459, Aug. 2006.
8. A. P. Duffy, A. Orlandi, and H. Sasse, "Offset difference measure enhancement for the feature-selective validation method," IEEE Trans. Electromagn. Compat., vol.50, no.2, pp. 413-415, May 2008.
9. Draft Standard for Validation of Computational Electromagnetics Computer Modeling and Simulations, IEEE Standards P1597.1/D4.3, Jun. 2008.
10. M. D. McKay,W. J. Conover, and R. J. Beckman, "A comparison of three methods for selecting values of input variables in the analysis of output from a computer code," Technometrics, vol.21, no.2, pp. 239-245, May 1979.
11. N. Wiener, "The homogeneous chaos," Amer. J. Math., vol.60, pp. 897-936, 1938.
12. D. B. Xiu and G. E. Karniadakis, "The Wiener-Askey polynomial chaos for stochastic differential equations," SIAM J. Sci. Comput., vol.24, no.2, pp. 619-644, 2002.
13. J. Faragher, "Probabilistic methods for the quantification of uncertainty and error in computational fluid dynamics simulations," DSTO Air Vehicles Division, Melbourne, Vic., Australia, Tech. Rep. DSTO-TR-1633, 2004.
14. D. B. Xiu and G. E. Karniadakis, "Modeling uncertainty in flow simulations via generalized polynomial chaos," J. Comput. Phys., vol.187, no.1, pp. 137-167, 2003.
15. O. M. Knio and O. P. Le Mâtre, "Uncertainty propagation in CFD using polynomial chaos decomposition," Fluid Dyn. Res., vol.38, no.9, pp. 616-640, 2006.
16. K. S.Yee, "Numerical solution of initial boundary value problem involving Maxwell's equations in isotropic media," IEEE Trans. Antennas Propag., vol.AP14, no.3, pp. 302-307, May 1966.
17. G. Mur, "Absorbing boundary conditions for the finite-difference approximation of the time-domain electromagnetic-field equations," IEEE Trans. Electromagn. Compat., vol.EMC23, no.4, pp. 377-382, Nov. 1981. (Pubitemid 12447118)
18. M. P. Robinson, S. J. Porter, and P. Op Gen Oorth, "Reflection and transmission coefficients of printed circuit boards," in Proc. 4th Eur. Symp. Electromagn. Compat., Bruges, Sep. 11-15, 2000, pp. 209-213.
19. G. Mie, "Beiträge zur Optik trüber Medien, speziell kolloidaler Metallösungen," Ann. Der Phys., vol.330, no.3, pp. 377-445, 1908.
20. T. Konefal, J. F. Dawson, A. C. Marvin, M. P. Robinson, and S. J. Porter, "A fast multiple mode intermediate level circuit model for the prediction of shielding effectiveness of a rectangular box containing a rectangular aperture," IEEE Trans. Electromagn. Compat., vol.47, no.4, pp. 678-691, Nov. 2005.