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Volumn , Issue , 2001, Pages

On the theoretical foundations of stochastic reduced basis methods

Author keywords

[No Author keywords available]

Indexed keywords

AERODYNAMICS; EIGENVALUES AND EIGENFUNCTIONS; ESTIMATION; GALERKIN METHODS; NUMERICAL METHODS; VECTORS;

EID: 85067316737     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.2514/6.2001-1677     Document Type: Conference Paper
Times cited : (18)

References (20)
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    • Ingredients for a General Purpose Stochastic Finite Elements Implementation
    • Ghanem, R., Ingredients for a General Purpose Stochastic Finite Elements Implementation, Computer Methods in Applied Mechanics and Engineering, Vol. 168, No.1-4, 1999, pp. 19-34.
    • (1999) Computer Methods In Applied Mechanics and Engineering , vol.168 , Issue.1-4 , pp. 19-34
    • Ghanem, R.1
  • 4
    • 0003084746 scopus 로고    scopus 로고
    • Varia-tional Principles Developed for and Applied to Analysis of Stochastic Beams
    • ASCE
    • Elishakoff, I., Ren, Y. J., Shinozuka, M., Varia-tional Principles Developed for and Applied to Analysis of Stochastic Beams, Journal of Engineering Mechanics, ASCE, Vol.122, No.6, 1996, pp.559-565.
    • (1996) Journal of Engineering Mechanics , vol.122 , Issue.6 , pp. 559-565
    • Elishakoff, I.1    Ren, Y.J.2    Shinozuka, M.3
  • 5
    • 0033528035 scopus 로고    scopus 로고
    • The Bird's Eye View on Finite Element Method for Structures with Large Stochastic Variations
    • Elishakoff, I., and Ren, Y. J., The Bird's Eye View on Finite Element Method for Structures with Large Stochastic Variations, Computer Methods in Applied Mechanics and Engineering, Vol. 168, No.1-4,1999, pp. 51-61.
    • (1999) Computer Methods In Applied Mechanics and Engineering , vol.168 , Issue.1-4 , pp. 51-61
    • Elishakoff, I.1    Ren, Y.J.2
  • 7
    • 0033666919 scopus 로고    scopus 로고
    • New Developments in Computational Stochastic Mechanics, Part II: Applications
    • Atlanta, GA, AIAA-2000-1441
    • Nair, P. B., and Keane, A. J., New Developments in Computational Stochastic Mechanics, Part II: Applications, Proceedings of the AIAA Non-Deterministic Approaches Forum, Atlanta, GA, 2000, AIAA-2000-1441.
    • (2000) Proceedings of the AIAA Non-Deterministic Approaches Forum
    • Nair, P.B.1    Keane, A.J.2
  • 9
    • 0003554096 scopus 로고    scopus 로고
    • PWS Publishing Company, Boston, 1996 and Second Edition manuscript
    • Saad, Y., Iterative Methods for Sparse Linear Systems, PWS Publishing Company, Boston, 1996 and Second Edition manuscript, 2000.
    • (2000) Iterative Methods For Sparse Linear Systems
    • Saad, Y.1
  • 12
    • 0000281811 scopus 로고    scopus 로고
    • Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations
    • Fokkema, D. R., Sleijpen, L. G., and Van Der Vorst, H. A., Accelerated Inexact Newton Schemes for Large Systems of Nonlinear Equations, SIAM Journal of Scientific Computing, Vol. 19, No. 2, 1998, pp. 657-674.
    • (1998) SIAM Journal of Scientific Computing , vol.19 , Issue.2 , pp. 657-674
    • Fokkema, D.R.1    Sleijpen, L.G.2    van der, V.H.A.3
  • 13
    • 0032280255 scopus 로고    scopus 로고
    • The Idea Behind Krylov Methods
    • Ipsen, I. C. F., and Meyer, C. D., The Idea Behind Krylov Methods, American Mathematical Monthly, Vol. 105, No. 10, 1998, pp. 889-899.
    • (1998) American Mathematical Monthly , vol.105 , Issue.10 , pp. 889-899
    • Ipsen, I.C.F.1    Meyer, C.D.2
  • 14
    • 0002807741 scopus 로고
    • The Principle of Minimized Iterations in the Solution of the Matrix Eigenvalue Problem
    • Arnoldi, W. E., The Principle of Minimized Iterations in the Solution of the Matrix Eigenvalue Problem, Quarterly Journal of Applied Mathematics, Vol. 9, 1951, pp. 17-29.
    • (1951) Quarterly Journal of Applied Mathematics , vol.9 , pp. 17-29
    • Arnoldi, W.E.1
  • 17
    • 0345483634 scopus 로고    scopus 로고
    • Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation
    • Ghanem, R., Hybrid Stochastic Finite Elements and Generalized Monte Carlo Simulation, AS ME Journal of Applied Mechanics, Vol. 65, No. 4, 1998,
    • (1998) AS ME Journal of Applied Mechanics , vol.65 , Issue.4
    • Ghanem, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.