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Frontiers of Structural and Civil Engineering >> 2015, Volume 9, Issue 2 doi: 10.1007/s11709-014-0268-4

Multiscale stochastic finite element method on random field modeling of geotechnical problems – a fast computing procedure

School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

Accepted: 2014-07-31 Available online: 2015-06-30

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Abstract

The Green-function-based multiscale stochastic finite element method (MSFEM) has been formulated based on the stochastic variational principle. In this study a fast computing procedure based on the MSFEM is developed to solve random field geotechnical problems with a typical coefficient of variance less than 1. A unique fast computing advantage of the procedure enables computation performed only on those locations of interest, therefore saving a lot of computation. The numerical example on soil settlement shows that the procedure achieves significant computing efficiency compared with Monte Carlo method.

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