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Efficient stochastic epidemic simulation via the Sellke construction
Bootsma MC, van Boven M.
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Stochastic elastic–plastic finite elements
Computer Methods in Applied Mechanics and Engineering, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sett, Kallol +2 more
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Stochastic perturbation finite elements
Computers & Structures, 1996This paper extends the stochastic perturbation method to vector-valued and matrix-valued functions. The numerical method for the response and reliability of uncertain structures is formulated using matrix calculus, Kronecker algebra and perturbation theory.
Zhang, Yimin +3 more
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Practical Application of the Stochastic Finite Element Method
Archives of Computational Methods in Engineering, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Arregui-Mena, José David +2 more
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Behavior of a single element in a finite stochastic array
Physical Review E, 2012We describe statistical properties of a single element in a nonlinear stochastic array with a finite number of elements with mean-field-like (global) coupling. Desai and Zwanzig [J. Stat. Phys. 19, 1 (1978)] made use of a self-consistent dynamic mean-field ansatz to derive, in the infinite-size limit, a nonlinear Fokker-Planck equation (NLFPE) for the ...
José, Gómez-Ordóñez +2 more
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The stochastic finite-element method
Computers & Structures, 1980Abstract A generic stochastic finite-element method for modeling structures is proposed as a means to analyze and design structures in a probabilistic framework. Stochastic differential and difference equation theory is applied in structures discretized with the finite-element methodology.Transient structural loads, idealized as stochastic processes,
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Spectral techniques for stochastic finite elements
Archives of Computational Methods in Engineering, 1997A formulation for the stochastic finite element method is presented which is a natural extension of the deterministic finite element method. Discretization of the random dimension is achieved via two spectral expansions. One of them is used to represent the coefficients of the differential, equation which model the random material properties, the other
R. G. Ghanem, P. D. Spanos
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Stochastic finite elements for crash problems
Structural Safety, 1990Abstract A stochastic finite element technique, based on the association of a response surface scheme with the “impact” finite-element code PAMCRASH , is implemented. The actual response is modelled by a piecewise idealization which combines several response surface interpolations.
FARAVELLI, LUCIA, Bigi D.
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Polynomial Chaos in Stochastic Finite Elements
Journal of Applied Mechanics, 1990A new method for the solution of problems involving material variability is proposed. The material property is modeled as a stochastic process. The method makes use of a convergent orthogonal expansion of the process. The solution process is viewed as an element in the Hilbert space of random functions, in which a sequence of projection operators is ...
Roger Ghanem, P. D. Spanos
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