On generalized stochastic perturbation‐based finite element method

Marcin Kamiński

45 citations0/0 files storedCommunications in Numerical Methods in Engineering

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Probabilistic and Robust Engineering Design Geotechnical Engineering and Analysis Fuzzy Systems and Optimization

Abstract

Abstract Generalized 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.

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References

1991Stochastic Finite Elements: A Spectral Approach 1983Random Fields: Analysis and Synthesis 1986Random field finite elements 2017Stochastic Finite Element Method

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