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3D Spectral Stochastic Finite Element Method in Electromagnetism
2006 12th Biennial IEEE Conference on Electromagnetic Field Computation, 2006Spectral stochastic finite element method (SSFEM), used in mechanics to take into account random aspects of input data, has been implemented, as an extended version, in the 3-D finite element method (FEM) software CARMEL dedicated to electromagnetic field computation.
R. Gaignaire +3 more
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Finite Element Methods for Parabolic Stochastic PDE?s
Potential Analysis, 2005zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On generalized stochastic perturbation‐based finite element method
Communications in Numerical Methods in Engineering, 2005AbstractGeneralized nth order stochastic perturbation technique, that can be applied to solve some boundary value or boundary initial problems in computational physics and/or engineering with random parameters is proposed here. This technique is demonstrated in conjunction with the finite element method (FEM) to model 1D linear elastostatics problem ...
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Improved finite element method for stochastic problems
Chaos, Solitons & Fractals, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Elishakoff, I. +2 more
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Stochastic Finite Element Method: Response Representation
1991Recent analytical methods for addressing the problem of system stochasticity in the context of structural mechanics have involved either solving for the second order statistics of the response or implementing a First-Order or a Second-Order (FORM/SORM) (Der-Kiureghian et.al, 1987a) algorithm in conjunction with a finite element code.
Roger G. Ghanem, Pol D. Spanos
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An efficient 3D stochastic finite element method
International Journal of Solids and Structures, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chakraborty, S., Bhattacharyya, B.
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An Integration-Based Stochastic Finite Element Method
Advanced Materials Research, 2010A straightforward numerical method for the computation of response of non-linear finite element system with uncertain parameters under stochastic loading is presented. This method is based on the special form of the probability destiny function of the random variables and, in particular, on the Gauss-Hermite integration rules to compute the response ...
Xiao Ke Gao, Zi Chen Deng, Wen Cheng Li
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The stochastic finite element method in structural reliability
Probabilistic Engineering Mechanics, 1987First-order reliability and finite element methods are used to develop a methodology for reliability analysis of structures with stochastically varying properties and subjected to random loads. Two methods for discretization of random fields are examined and the influence of the correlation length of random property or load fields on the reliability of
Armen Der Kiureghian, Jyh-Bin Ke
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Adaptive data refinement in the spectral stochastic finite element method
Communications in Numerical Methods in Engineering, 2002AbstractOne version of the stochastic finite element method involves representing the solution with respect to a basis in the space of random variables and evaluating the co‐ordinates of the solution with respect to this basis by relying on Hilbert space projections.
Ghanem, R., Pellissetti, M.
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