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| A extended form of neumann stochastic finite element method |
| Revised:December 29, 2003 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20056132 |
| KeyWord:Monte-Carlo stochastic FEM,Neumann stochastic FEM,pre-conditioning conjugate method, |
| YANG Jie~* CHEN Qiu |
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| Abstract: |
| In the field of Monte-Carlo Stochastic FEM,study how to improve the efficiency of solving single sample on the multi-samples condition.Proved the equivalence between the Neumann Stochastic FEM and the equal-stiffness iteration method on the algorithm.On this basis,a more efficient algorithm,pre-conditioning conjugate method,is introduced into linear Monte-Carlo stochastic FEM and the corresponding FEM program is established.Two examples are used to illustrate the two methods.Results show that the efficiency of the new method is more stable than Neumann Stochastic FEM as the dispersancy of random variable increase.Neumann Stochastic FEM diverges althogh the dispersancy of random variable isn't large,on the contrary,the new method still converge when the dispersancy is quite large. |
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