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Can I read Improved Finite Element Method for Stochastic Problems on EtoBox?
Improved Finite Element Method for Stochastic Problems by I. Elishakoff; Y.J. Ren; M. Shinozuka is a Physics and Astronomy article available to read on EtoBox.
What is Improved Finite Element Method for Stochastic Problems about?
The conventional finite element method dealing with stochastic problems is based on series expansion of stochastic quantities with respect to basic stochastic deviations, by means of either Taylor expansion, perturbation technique or Neumann expansion. The first-order approximation of the mean response, which is utilized to calculate the required probabilistic characteristics of the response, is just the deterministic solution obtained by fixing stochastic parameters at their mean value. However, such a mean response differs from the exact mean value and its use may cause significant error when the coefficients of variation of stochastic parameters are relatively large. In this paper, we propose an improved finite element method for stochastic problems. The method takes into account the first-order and second-order probabilistic information of stochastic parameters for computing the mean solution. The variance and covariance of the solution are calculated by utilizing the improved mean solution instead of 'deterministic' mean solution. The present improved method requires only means, variances and covariances of stochastic parameters. However, it has been found that the proposed im
Who reads Improved Finite Element Method for Stochastic Problems?
It is typically read by researchers, students, and practitioners in Physics and Astronomy.
- Author
- I. Elishakoff; Y.J. Ren; M. Shinozuka
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0960-0779)
- Published
- 1995
- Language
- EN
- Field
- Physics and Astronomy (Physical Sciences)