On generalized stochastic perturbation‐based finite element method
Copyright policy )On generalized stochastic perturbation‐based finite element method
AbstractGeneralized 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 with a single random variable. The symbolic computer program is employed to perform computational studies on convergence of the first two probabilistic moments for simple unidirectional tension of a bar. These numerical studies verify the influence of coefficient of variation of the random input and, at the same time, of the perturbation parameter on the first two probabilistic moments of the final solution vector. Copyright © 2005 John Wiley & Sons, Ltd.
Numerical solutions to stochastic differential and integral equations, numerical examples, convergence, composite materials, linear elastostatics problem, stochastic perturbation technique, Other numerical methods in solid mechanics, symbolic computations, stochastic finite element method, Stochastic partial differential equations (aspects of stochastic analysis), Composite and mixture properties, Computational methods for stochastic equations (aspects of stochastic analysis)
Numerical solutions to stochastic differential and integral equations, numerical examples, convergence, composite materials, linear elastostatics problem, stochastic perturbation technique, Other numerical methods in solid mechanics, symbolic computations, stochastic finite element method, Stochastic partial differential equations (aspects of stochastic analysis), Composite and mixture properties, Computational methods for stochastic equations (aspects of stochastic analysis)
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