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Tytuł artykułu

Numerical simulation of random fields using correlated random vector and the Karhunen-Loève expansion

Wybrane pełne teksty z tego czasopisma
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The paper presents an approach of one- and two-dimensional random fields simulation methods using correlated random vector and Karhunen-Loève expansion. Comparison of the authors’ analytical solution of the Fredholm integral equation of the second kind with the numerical solution using finite element method and inverse vector iteration technique is presented. Numerical approach and sample realizations of one- and two-dimensional random fields are presented using described techniques as well as generated probability distribution functions for chosen point of analyzed domain.
Rocznik
Strony
47--58
Opis fizyczny
Bibliogr. 13 poz., rys., wykr.
Twórcy
autor
  • Department of Theory of Construction Faculty of Civil Engineering Czestochowa University of Technology Akademicka 3, 42-200 Czestochowa, Poland
autor
  • Department of Building Physics Faculty of Civil Engineering Czestochowa University of Technology Akademicka 3, 42-200 Czestochowa, Poland
Bibliografia
  • [1] K.J. Bathe.Finite Element Procedures. Prentice Hall, New Jersey, 1996.
  • [2] H. Cho, D. Venturi, G.E. Karniadakis. Karhunen-Loéve expansion for multi-correlated stochastic processes. Probabilistic Engineering Mechanics, 34: 157–167, 2013.
  • [3] R.V. Field. Stochastic Models: Theory and Simulation. Sandia National Laboratories, Raport SAND 2008-1365, 2008.
  • [4] R.G. Ghanem, P.D. Spanos.Stochastic Finite Elements: A Spectral Approach. Dover Publications, Mineola, USA, 2003.
  • [5] O.P. Le Maˆıtre, O.M. Knio.Spectral Methods for Uncertainty Quantification: With Applications to Computational Fluid Dynamics. Springer Science & Business Media, Dordrecht, 2010.
  • [6] H.G. Matthies, A. Keese. Galerkin methods for linear and nonlinear elliptic stochastic partial differential equations. Computer Methods in Applied Mechanics and Engineering, 194: 1295–1331, 2005.
  • [7] J. Przewłócki.Problems of Stochastic Soil Mechanics. Reliability Analysis [in Polish: Problemy Stochastycznej Mechaniki Gruntów. Ocena Niezawodności]. Dolnośląskie Wydawnictwo Edukacyjne, Wrocław, Poland, 2006.
  • [8] G. Stefanou, D. Savvas, M. Papadrakakis. Stochastic finite element analysis of composite structures based on mesoscale random fields of material properties. Computer Methods in Applied Mechanics and Engineering, 326:319–337, 2017.
  • [9] E. Vanmarcke. Random Fields: Analysis and Synthesis. World Scientific, 2010.
  • [10] D. Xiu, J.S. Hesthaven. High-order collocation methods for differential equations with random inputs. SIAM Journal on Scientific Computing, 27: 1118–1139, 2005.
  • [11] D. Xiu, G.E. Karniadakis. A new stochastic approach to transient heat conduction modeling with uncertainty. International Journal of Heat and Mass Transfer, 46: 4681–4693, 2003.
  • [12] D. Xiu.Numerical Methods for Stochastic Computations: A Spectral Method Approach. Princeton University Press, Princeton, 2010.
  • [13] P. Zakian, N. Khaji. A novel stochastic-spectral finite element method for analysis of elastodynamic problems in the time domain. Meccanica, 51: 893–920, 2016.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-9de6ff85-abce-4869-a8cb-0c98eb404b10
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