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Volumn 60, Issue 11, 2012, Pages 5305-5314

A small-perturbation automatic-differentiation method for determining uncertainty in computational electromagnetics

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; INTEGRAL EQUATIONS; METHOD OF MOMENTS; NUMERICAL METHODS; PERTURBATION TECHNIQUES;

EID: 84890431420     PISSN: 0018926X     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAP.2012.2208169     Document Type: Article
Times cited : (16)

References (27)
  • 1
    • 33947264300 scopus 로고    scopus 로고
    • Computationalmodeling of uncertainty in time-domain electromagnetics
    • May
    • C. Chauviere, J. Hesthaven, and L. Lurati, "Computationalmodeling of uncertainty in time-domain electromagnetics," SIAM J. Sci. Comput., vol. 28, no. 2, pp. 751-775, May 2006.
    • (2006) SIAM J. Sci. Comput. , vol.28 , Issue.2 , pp. 751-775
    • Chauviere, C.1    Hesthaven, J.2    Lurati, L.3
  • 2
    • 33947703668 scopus 로고    scopus 로고
    • 3-D spectral stochastic finite element method in electromagnetics
    • April
    • R. Gaignaire, S. Clenet, B. Sudret, and O. Moreau, "3-D spectral stochastic finite element method in electromagnetics," IEEE Trans. Magn., vol. 43, no. 4, pp. 1209-1212, April 2007.
    • (2007) IEEE Trans. Magn. , vol.43 , Issue.4 , pp. 1209-1212
    • Gaignaire, R.1    Clenet, S.2    Sudret, B.3    Moreau, O.4
  • 3
    • 44049100658 scopus 로고    scopus 로고
    • Current calculation in electrokinetics using a spectral stochastic finite element method
    • Jun.
    • R. Gaignaire, S. Clenet, O.Moreau, and B. Sudret, "Current calculation in electrokinetics using a spectral stochastic finite element method," IEEE Trans. Magn., vol. 44, no. 6, pp. 754-757, Jun. 2008.
    • (2008) IEEE Trans. Magn. , vol.44 , Issue.6 , pp. 754-757
    • Gaignaire, R.1    Clenet, S.2    Moreau, O.3    Sudret, B.4
  • 4
    • 0013442905 scopus 로고
    • Remarks on the disposition of points in numerical integration formulas
    • A. H. Stroud, "Remarks on the disposition of points in numerical integration formulas," Math. Tables Aids Comput., vol. 11, no. 60, pp. 257-261, 1957.
    • (1957) Math. Tables Aids Comput. , vol.11 , Issue.60 , pp. 257-261
    • Stroud, A.H.1
  • 5
    • 33646577797 scopus 로고    scopus 로고
    • High-order collocation methods for differential equations with random inputs
    • D. Xiu and J. S. Hesthaven, "High-order collocation methods for differential equations with random inputs," J. Sci. Comput., vol. 27, no. 3, pp. 1118-1139, 2005.
    • (2005) J. Sci. Comput. , vol.27 , Issue.3 , pp. 1118-1139
    • Xiu, D.1    Hesthaven, J.S.2
  • 6
    • 85015526300 scopus 로고    scopus 로고
    • A fast Stroud-based collocation method for statistically characterizing EMI/EMC phenomena on complex platforms
    • H. Bagci, A. Yucel, J. Hesthaven, and E. Michielssen, "A fast Stroud-based collocation method for statistically characterizing EMI/EMC phenomena on complex platforms," IEEE Trans. Electromagn. Compat., pp. 1-11, 2008.
    • (2008) IEEE Trans. Electromagn. Compat. , pp. 1-11
    • Bagci, H.1    Yucel, A.2    Hesthaven, J.3    Michielssen, E.4
  • 7
    • 34249321989 scopus 로고    scopus 로고
    • Efficient computation of RCS from scatterers of uncertain shapes
    • C. Chauvier, J. S. Hesthaven, and L. C.Wilcox, "Efficient computation of RCS from scatterers of uncertain shapes," IEEE Trans. Antennas Propag., vol. 55, no. 5, pp. 1437-1448, 2007.
    • (2007) IEEE Trans. Antennas Propag. , vol.55 , Issue.5 , pp. 1437-1448
    • Chauvier, C.1    Hesthaven, J.S.2    Wilcox, L.C.3
  • 8
    • 60149090193 scopus 로고    scopus 로고
    • Fast numerical methods for stochastic computations: A review
    • D. Xiu, "Fast numerical methods for stochastic computations: A review," Commun. Comput. Phys., vol. 5, no. 2-4, pp. 242-272, 2009.
    • (2009) Commun. Comput. Phys. , vol.5 , Issue.2-4 , pp. 242-272
    • Xiu, D.1
  • 9
    • 0022719849 scopus 로고
    • Probabilistic finite elements for nonlinear structural dynamics
    • W. K. Liu, T. Belytschko, and A. Mani, "Probabilistic finite elements for nonlinear structural dynamics," Comput. Methods Appl. Mechan. Engrng., vol. 56, pp. 61-81, 1986.
    • (1986) Comput. Methods Appl. Mechan. Engrng. , vol.56 , pp. 61-81
    • Liu, W.K.1    Belytschko, T.2    Mani, A.3
  • 12
    • 0004014341 scopus 로고
    • Mathematics and Computer Science Division, Argonne National Lab.
    • A. Griewank, "On Automatic Differentiation,"Mathematics and Computer Science Division, Argonne National Lab., 1988.
    • (1988) On Automatic Differentiation
    • Griewank, A.1
  • 13
    • 24644437042 scopus 로고    scopus 로고
    • A mathematical view of automatic differentiation
    • A. Griewank, "A mathematical view of automatic differentiation," Acta Numer., pp. 1-78, 2003.
    • (2003) Acta Numer. , pp. 1-78
    • Griewank, A.1
  • 15
    • 63049095055 scopus 로고
    • Checking the calculation of gradients
    • P.Wolfe, "Checking the calculation of gradients," ACM TOMS, vol. 6, no. 4, pp. 337-343, 1982.
    • (1982) ACM TOMS , vol.6 , Issue.4 , pp. 337-343
    • Wolfe, P.1
  • 18
    • 84907270913 scopus 로고
    • Numerical differentiation and regularization
    • J. Cullum, "Numerical differentiation and regularization," SIAM J. Numer. Analy., vol. 34, p. 17791791, 1971.
    • (1971) SIAM J. Numer. Analy. , vol.34 , pp. 17791791
    • Cullum, J.1
  • 19
    • 70349492878 scopus 로고    scopus 로고
    • An Isserlis' theorem for mixed gaussian variables: Application to the auto-bispectral density
    • J. Michalowicz, J. Nichols, F. Bucholtz, and C. Olson, "An Isserlis' theorem for mixed gaussian variables: Application to the auto-bispectral density," J. Stat. Phys., vol. 136, pp. 89-102.
    • J. Stat. Phys. , vol.136 , pp. 89-102
    • Michalowicz, J.1    Nichols, J.2    Bucholtz, F.3    Olson, C.4
  • 21
    • 84938011242 scopus 로고
    • Scattering by an arbitrary array of parallel wires
    • Jul.
    • J. Richmond, "Scattering by an arbitrary array of parallel wires," IEEE Trans. Microwave Theory Tech., vol. 13, no. 4, pp. 408-412, Jul. 1965.
    • (1965) IEEE Trans. Microwave Theory Tech. , vol.13 , Issue.4 , pp. 408-412
    • Richmond, J.1
  • 23
    • 0028406759 scopus 로고
    • The discrete-dipole approximation for scattering calculations
    • B. T.Draine and P. Flatau, "The discrete-dipole approximation for scattering calculations," J. Opt. Soc. Am. A, vol. 11, no. 4, pp. 1491-1499, 1994.
    • (1994) J. Opt. Soc. Am. A , vol.11 , Issue.4 , pp. 1491-1499
    • Draine, B.T.1    Flatau, P.2
  • 24
    • 0031207995 scopus 로고    scopus 로고
    • Improvements in the discrete-dipole-approximationmethod of computing scattering and absorption
    • P. Flatau, "Improvements in the discrete-dipole-approximationmethod of computing scattering and absorption," Opt. Lett., vol. 22, no. 16, pp. 1205-1207, 1997.
    • (1997) Opt. Lett. , vol.22 , Issue.16 , pp. 1205-1207
    • Flatau, P.1
  • 25
    • 30344479471 scopus 로고    scopus 로고
    • Combinatorics of partial derivatives
    • Jan., [Online]
    • M. Hardy, "Combinatorics of partial derivatives," The Electronic Journal of Combinatorics, vol. 13, Jan. 2006 [Online]. Available: http://www.emis.de/journals/EJC/Volume-13/PDF/v13i1r1.pdf
    • (2006) The Electronic Journal of Combinatorics , vol.13
    • Hardy, M.1
  • 26
    • 0035995563 scopus 로고    scopus 로고
    • The curious history of faà di Bruno's formula
    • Mar.
    • W. Johnson, "The curious history of faà di Bruno's formula," Amer. Math. Monthly, vol. 109, pp. 217-234, Mar. 2002.
    • (2002) Amer. Math. Monthly , vol.109 , pp. 217-234
    • Johnson, W.1
  • 27
    • 85096105190 scopus 로고    scopus 로고
    • IEEE Std 754-2008, IEEE Computer Society, Aug. 2008, 10.1109/IEEESTD
    • IEEE Standard for Floating-Point Arithmetic, IEEE Std 754-2008, IEEE Computer Society, Aug. 2008, 10.1109/IEEESTD.2008. 4610935.
    • (2008) IEEE Standard for Floating-Point Arithmetic , pp. 4610935


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.