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Simulation of random fields for stochastic finite element analyses
| Content Provider | Semantic Scholar |
|---|---|
| Author | Vorechovský, Miroslav Novák, Drahomír |
| Copyright Year | 2005 |
| Abstract | An increasing attention is paid to probabilistic treatment of both commercial and academic research finite element codes. Computational demands are often high, especially in case of nonlinear problems. Simulation of random fields is the fundamental task in stochastic finite element method (SFEM). There are many techniques available nowadays, but for computationally intensive problems (typically nonlinear FEM calculations) we are constrained by small number of Monte Carlo type simulations we can afford. The paper proposes a method which combines the spectral decomposition of covariance matrix and improved Latin Hypercube Sampling (LHS). Paper tackles some extremely important aspects of random fields simulation for SFEM with small number of simulations at satisfactory accuracy: improvements to both basic statistical moments and autocorrelation structure of simulated random field. All these aspects are important for computational efficiency, robustness and accuracy in SFEM. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://www.fce.vutbr.cz/STM/vorechovsky.m/papers/18z.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
