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Volumn 5, Issue 2-4, 2009, Pages 515-531

Numerical solution of partial differential equations in random domains: An application to wind engineering

Author keywords

Mapping approach; Polynomial chaos; Random domains; Stochastic partial differential equations; Uncertainty quantification; Wind engineering

Indexed keywords


EID: 61349091099     PISSN: 18152406     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Conference Paper
Times cited : (14)

References (20)
  • 1
    • 34548216854 scopus 로고    scopus 로고
    • A stochastic collocation method for elliptic partial differential equations with random input data
    • I. Babuška, F. Nobile, and R. Tempone. A stochastic collocation method for elliptic partial differential equations with random input data. SIAM J. Numer. Anal., 45(3):1005-1034, 2007.
    • (2007) SIAM J. Numer. Anal , vol.45 , Issue.3 , pp. 1005-1034
    • Babuška, I.1    Nobile, F.2    Tempone, R.3
  • 3
    • 34547748879 scopus 로고    scopus 로고
    • A fictitious domain approach to the numerical solution of pdes in stochastic domains
    • C. Canuto and T. Kozubek. A fictitious domain approach to the numerical solution of pdes in stochastic domains. Numerische Mathematik, 107(2):257-293, 2007.
    • (2007) Numerische Mathematik , vol.107 , Issue.2 , pp. 257-293
    • Canuto, C.1    Kozubek, T.2
  • 7
    • 61349192270 scopus 로고    scopus 로고
    • W. Gautschi. Orthogonal Polynomials: Computation and Approximation. Numerical Mathematics and Scientific Computation. Oxford University Press, New York, 2004.
    • W. Gautschi. Orthogonal Polynomials: Computation and Approximation. Numerical Mathematics and Scientific Computation. Oxford University Press, New York, 2004.
  • 8
    • 0000994152 scopus 로고    scopus 로고
    • Detection of edges in spectral data
    • A. Gelb and E. Tadmor. Detection of edges in spectral data. Appl. Comput. Harmon. Anal., 7(1):101-135, 1999.
    • (1999) Appl. Comput. Harmon. Anal , vol.7 , Issue.1 , pp. 101-135
    • Gelb, A.1    Tadmor, E.2
  • 11
    • 34250777758 scopus 로고    scopus 로고
    • A non-intrusive polynomial chaos method for uncertainty propagation in CFD simulations
    • S. Hosden, R.W. Walters, and R. Perez. A non-intrusive polynomial chaos method for uncertainty propagation in CFD simulations. AIAA, (0891), 2006.
    • (2006) AIAA , vol.891
    • Hosden, S.1    Walters, R.W.2    Perez, R.3
  • 13
    • 61349104415 scopus 로고    scopus 로고
    • Ph.D. thesis, University of Florence, Technische Universität Carolo-Wilhelmina zu Braunschweig
    • C. Mannini. Flutter vulnerability assessment of flexible bridges. Ph.D. thesis, University of Florence - Technische Universität Carolo-Wilhelmina zu Braunschweig, 2006.
    • (2006) Flutter vulnerability assessment of flexible bridges
    • Mannini, C.1
  • 14
    • 23944518704 scopus 로고    scopus 로고
    • Stochastic approaches to uncertainty quantification in cfd simulations
    • L. Mathelin, M. Y. Hussaini, and T. A. Zang. Stochastic approaches to uncertainty quantification in cfd simulations. Numerical Algorithms, 38:209-236, 2005.
    • (2005) Numerical Algorithms , vol.38 , pp. 209-236
    • Mathelin, L.1    Hussaini, M.Y.2    Zang, T.A.3
  • 15
    • 84968498665 scopus 로고    scopus 로고
    • T. N. L. Patterson. The optimum addition of points to quadrature formulae. Math. Comp. 22 (1968), 847-856; addendum, ibid., 22(104, loose microfiche supp.):C1-C11, 1968.
    • T. N. L. Patterson. The optimum addition of points to quadrature formulae. Math. Comp. 22 (1968), 847-856; addendum, ibid., 22(104, loose microfiche supp.):C1-C11, 1968.
  • 16
    • 0035475480 scopus 로고    scopus 로고
    • Pressure distribution and aerodynamic forces on stationary box bridge sections
    • F. Ricciardelli and H. Hangan. Pressure distribution and aerodynamic forces on stationary box bridge sections. Wind and Structures, 4(5):399-412, 2001.
    • (2001) Wind and Structures , vol.4 , Issue.5 , pp. 399-412
    • Ricciardelli, F.1    Hangan, H.2
  • 17
    • 34047123580 scopus 로고    scopus 로고
    • Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients
    • R. A. Todor and C. Schwab. Convergence rates for sparse chaos approximations of elliptic problems with stochastic coefficients. IMA J. Numer. Anal., 27(2):232-261, 2007.
    • (2007) IMA J. Numer. Anal , vol.27 , Issue.2 , pp. 232-261
    • Todor, R.A.1    Schwab, C.2
  • 18
    • 85140869237 scopus 로고    scopus 로고
    • X. Wan and G. Em Karniadakis. Multi-element generalized polynomial chaos for arbitrary probability measures. SIAM J. Sci. Comput., 28(3):901-928 (electronic), 2006.
    • X. Wan and G. Em Karniadakis. Multi-element generalized polynomial chaos for arbitrary probability measures. SIAM J. Sci. Comput., 28(3):901-928 (electronic), 2006.
  • 19
    • 85140869262 scopus 로고    scopus 로고
    • D. Xiu and G. Em Kamiadakis. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput., 24(2):619-644 (electronic), 2002.
    • D. Xiu and G. Em Kamiadakis. The Wiener-Askey polynomial chaos for stochastic differential equations. SIAM J. Sci. Comput., 24(2):619-644 (electronic), 2002.
  • 20
    • 85140867854 scopus 로고    scopus 로고
    • D. Xiu and D. M. Tartakovsky. Numerical methods for differential equations in random domains. SIAM J. Sci. Comput., 28(3):1167-1185 (electronic), 2006.
    • D. Xiu and D. M. Tartakovsky. Numerical methods for differential equations in random domains. SIAM J. Sci. Comput., 28(3):1167-1185 (electronic), 2006.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.