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The stochastic finite element method: Past, present and future
5 references·16 citing·30 second hop
The stochastic finite element method: Past, present and future (2008)The stochastic finite element method: Pas…The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Estimation of small failure probabilities in high dimensions by subset simulation (2001)Estimation of small failure p…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Simulation of Stochastic Processes by Spectral Representation (1991)Simulation of Stochastic Proc…Digital simulation of random processes and its applications (1972)Digital simulation of random …A state-of-the-art review on uncertainty analysis of rotor systems (2022)A state-of-the-art review on …A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method (2021)A unified analysis framework …Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty (2019)Recent Trends in the Modeling…Direct 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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2001Estimation of small failure probabilities in high dimensions by subset simulation2,419 cited
  • 1972Digital simulation of random processes and its applications1,663 cited
  • 1991Simulation of Stochastic Processes by Spectral Representation1,379 cited

Cited by

  • 2014Numerical methods for the discretization of random fields by means of the Karhunen–Loève expansion315 cited
  • 2019Recent Trends in the Modeling and Quantification of Non-probabilistic Uncertainty213 cited
  • 2019Direct probability integral method for stochastic response analysis of static and dynamic structural systems201 cited
  • 2017Probability-interval hybrid uncertainty analysis for structures with both aleatory and epistemic uncertainties: a review186 cited
  • 2010Stochastic Spectral Galerkin and Collocation Methods for PDEs with Random Coefficients: A Numerical Comparison176 cited
  • 2010Probabilistic interval analysis for structures with uncertainty167 cited
  • 2022A state-of-the-art review on uncertainty analysis of rotor systems166 cited
  • 2011Reliability in composites – A selective review and survey of current development165 cited
  • 2014Practical Application of the Stochastic Finite Element Method

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144 cited
  • 2011Hybrid probabilistic interval analysis of bar structures with uncertainty using a mixed perturbation Monte-Carlo method140 cited
  • 2021A unified analysis framework of static and dynamic structural reliabilities based on direct probability integral method137 cited
  • 2018Uncertainty quantification in multiscale simulation of woven fiber composites131 cited
  • 2017Stochastic finite element analysis of composite structures based on mesoscale random fields of material properties118 cited
  • 2009Stochastic Finite Elements113 cited
  • 2012Modified sub-interval perturbation finite element method for 2D acoustic field prediction with large uncertain-but-bounded parameters106 cited
  • 2018An explicit method for simulating non-Gaussian and non-stationary stochastic processes by Karhunen-Loève and polynomial chaos expansion100 cited