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Volumn 168, Issue 1-4, 1999, Pages 19-34

Ingredients for a general purpose stochastic finite elements implementation

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; MONTE CARLO METHODS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 0033528038     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(98)00106-6     Document Type: Article
Times cited : (380)

References (31)
  • 2
    • 0000148817 scopus 로고
    • The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals
    • [2] R. Cameron and W. Martin, The orthogonal development of nonlinear functionals in series of Fourier-Hermite functionals, Ann. Math. 48 (1947) 385-392.
    • (1947) Ann. Math. , vol.48 , pp. 385-392
    • Cameron, R.1    Martin, W.2
  • 3
    • 0040492208 scopus 로고
    • Galerkin procedures for systems of parabolic partial differential equations related to the transmission of nerve impulses
    • W.E. Fitzgibbon and H.F. Walker, eds., Pitman, London, San-Francisco, Melbourne
    • [3] J.R. Cannon and R.E. Ewing, Galerkin procedures for systems of parabolic partial differential equations related to the transmission of nerve impulses, in: W.E. Fitzgibbon and H.F. Walker, eds., Nonlinear Diffusion (Pitman, London, San-Francisco, Melbourne, 1977) 24-52.
    • (1977) Nonlinear Diffusion , pp. 24-52
    • Cannon, J.R.1    Ewing, R.E.2
  • 4
    • 0039899201 scopus 로고
    • Polynomials in linear random functions
    • [4] R.L. Dobrushin and R.A. Minlos, Polynomials in linear random functions, Russian Math. Surveys 32(2) (1971) 71-127.
    • (1971) Russian Math. Surveys , vol.32 , Issue.2 , pp. 71-127
    • Dobrushin, R.L.1    Minlos, R.A.2
  • 7
    • 0029776146 scopus 로고    scopus 로고
    • Numerical solution of spectral stochastic finite element systems
    • [7] R. Ghanem and R. Kruger, Numerical solution of spectral stochastic finite element systems, Comp. Methods Appl. Mech. Engrg. 129 (1996) 289-303.
    • (1996) Comp. Methods Appl. Mech. Engrg. , vol.129 , pp. 289-303
    • Ghanem, R.1    Kruger, R.2
  • 8
    • 0030318028 scopus 로고    scopus 로고
    • Stochastic finite element analysis of randomly layered media
    • [8] R. Ghanem and V. Brzkala, Stochastic finite element analysis of randomly layered media, J. Engrg. Mech. 122(4) (1996) 361-369.
    • (1996) J. Engrg. Mech. , vol.122 , Issue.4 , pp. 361-369
    • Ghanem, R.1    Brzkala, V.2
  • 9
    • 0032045223 scopus 로고    scopus 로고
    • Adaptive polynomial chaos simulation applied to statistics of extremes in nonlinear random vibration
    • [9] R. Ghanem and R. Li, Adaptive polynomial chaos simulation applied to statistics of extremes in nonlinear random vibration, Prob. Engrg. Mech. 13(2) (1998) 125-136.
    • (1998) Prob. Engrg. Mech. , vol.13 , Issue.2 , pp. 125-136
    • Ghanem, R.1    Li, R.2
  • 10
    • 6544224052 scopus 로고    scopus 로고
    • Hybrid stochastic finite elements: Coupling of spectral expansions with monte carlo simulations
    • to appear
    • [10] R. Ghanem, Hybrid stochastic finite elements: coupling of spectral expansions with Monte Carlo simulations, J. Appl. Mech., to appear.
    • J. Appl. Mech.
    • Ghanem, R.1
  • 11
    • 0032496593 scopus 로고    scopus 로고
    • Probabilistic characterization of transport in heterogeneous porous media
    • [11] R. Ghanem, Probabilistic characterization of transport in heterogeneous porous media, Comp. Methods Appl. Mech. Engrg. 158 (1998) 199-220.
    • (1998) Comp. Methods Appl. Mech. Engrg. , vol.158 , pp. 199-220
    • Ghanem, R.1
  • 12
    • 0039899203 scopus 로고    scopus 로고
    • A new implementation of the spectral stochastic finite element method for stochastic constitutive relations
    • La Jolla, CA, May 17-20
    • [12] R. Ghanem and D. Ghiocel, A new implementation of the spectral stochastic finite element method for stochastic constitutive relations, ASCE 12th Engineering Mechanics Conference, La Jolla, CA, May 17-20, 1998.
    • (1998) ASCE 12th Engineering Mechanics Conference
    • Ghanem, R.1    Ghiocel, D.2
  • 14
    • 0041086220 scopus 로고
    • The role of reproducing kernel Hilbert spaces in the study of Gaussian processes
    • Peter Ney, ed., Marcel Decker, Inc. New York
    • [14] G. Kallianpur, The role of reproducing kernel Hilbert spaces in the study of Gaussian processes, in: Peter Ney, ed., Advances in Probability Theory and Related Topics, Vol. 2 (Marcel Decker, Inc. New York, 1970) 49-83.
    • (1970) Advances in Probability Theory and Related Topics , vol.2 , pp. 49-83
    • Kallianpur, G.1
  • 15
    • 0040492204 scopus 로고
    • Homogeneous chaos expansions
    • M. Rosenblatt and C. Van Atta, eds., Springer-Verlag, Berlin Heidelberg
    • [15] G. Kallianpur, Homogeneous chaos expansions, in: M. Rosenblatt and C. Van Atta, eds., Statistical Models in Turbulence (Springer-Verlag, Berlin Heidelberg, 1972) 230-254.
    • (1972) Statistical Models in Turbulence , pp. 230-254
    • Kallianpur, G.1
  • 16
    • 0039899198 scopus 로고
    • Equations lineaires a coefficients aleatoires
    • Instituto Nazionale di Alta Mathematica, Estratto, Bologna
    • [16] P. Kree, Equations lineaires a coefficients aleatoires, Instituto Nazionale di Alta Mathematica, Symposia Mathematica, Vol. VII (Estratto, Bologna, 1971) 515-546.
    • (1971) Symposia Mathematica , vol.7 , pp. 515-546
    • Kree, P.1
  • 17
    • 0040492207 scopus 로고
    • Functional analysis in stochatsic modelling
    • P. Kree and W. Wedig, eds., Springer-Verlag, Berlin
    • [17] P. Kree, Functional analysis in stochatsic modelling, in: P. Kree and W. Wedig, eds., Probabilistic Methods in Applied Physics (Springer-Verlag, Berlin, 1995).
    • (1995) Probabilistic Methods in Applied Physics
    • Kree, P.1
  • 19
    • 0018468345 scopus 로고
    • A comparison of three methods for selecting values of input variables in the analysis of output from a computer code
    • [19] M.D. MacKay, R.J. Beckman and W.J. Conover, A comparison of three methods for selecting values of input variables in the analysis of output from a computer code, Technometrics 21(2) (1979) 239-245.
    • (1979) Technometrics , vol.21 , Issue.2 , pp. 239-245
    • MacKay, M.D.1    Beckman, R.J.2    Conover, W.J.3
  • 21
    • 0001728425 scopus 로고
    • On rings of operators
    • [21] F.J. Murray and J. von Neuman, On rings of operators, Ann. Math. 37(2) (1936) 116-229.
    • (1936) Ann. Math. , vol.37 , Issue.2 , pp. 116-229
    • Murray, F.J.1    Von Neuman, J.2
  • 24
  • 25
    • 0016955951 scopus 로고
    • Orthogonal functionals of independent-increment processes
    • [25] A. Segall and T. Kailath, Orthogonal functionals of independent-increment processes, IEEE, Trans. Information Theory IT - 22(3) (1976) 287-298.
    • (1976) IEEE, Trans. Information Theory IT , vol.22 , Issue.3 , pp. 287-298
    • Segall, A.1    Kailath, T.2
  • 27
    • 0004239666 scopus 로고
    • Wiley Interscience, New York
    • [27] S.K. Thompson, Sampling (Wiley Interscience, New York, 1992).
    • (1992) Sampling
    • Thompson, S.K.1
  • 28
    • 33845232342 scopus 로고
    • The evaluation of the collision matrix
    • [28] G.C. Wick, The evaluation of the collision matrix, Phys. Rev. 80 (1950) 268-272.
    • (1950) Phys. Rev. , vol.80 , pp. 268-272
    • Wick, G.C.1
  • 29
    • 0000786435 scopus 로고
    • The homogeneous chaos
    • [29] N. Wiener, The homogeneous chaos, Am. J. Math. 60 (1938) 897-936.
    • (1938) Am. J. Math. , vol.60 , pp. 897-936
    • Wiener, N.1
  • 31
    • 0039899200 scopus 로고
    • The discrete chaos
    • [31] A. Wintner and N. Wiener, The discrete chaos, Am. J. Math. 65 (1943) 279-298.
    • (1943) Am. J. Math. , vol.65 , pp. 279-298
    • Wintner, A.1    Wiener, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.