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On generalized stochastic perturbation‐based finite element method
4 references·14 citing·37 second hop
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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1983Random Fields: Analysis and Synthesis1,302 cited
  • 1986Random field finite elements645 cited
  • 2017Stochastic Finite Element Method102 cited

Cited by

  • 2016Analysis of Uncertainty and Variability in Finite Element Computational Models for Biomedical Engineering: Characterization and Propagation44 cited
  • 2024Uncertainty quantification of 3D acoustic shape sensitivities with generalized nth-order perturbation boundary element methods40 cited
  • 2008Perturbation Based Stochastic Finite Element Analysis of the Structural Systems with Composite Sections under Earthquake Forces38 cited
  • 2018Isogeometric generalized n th order perturbation-based stochastic method for exact geometric modeling of (composite) structures: Static and dynamic analysis with random material parameters36 cited
  • 2013Karhunen–Loève decomposition of random fields based on a hierarchical matrix approach27 cited
  • 2015A Modified Computational Scheme for the Stochastic Perturbation Finite Element Method27 cited
  • 2010Stochastic finite element analysis of a cable-stayed bridge system with varying material properties20 cited
  • 2020Stochastic Perturbation-Based Finite Element for Free Vibration of Functionally Graded Beams with an Uncertain Elastic Modulus19 cited
  • 2024Multi-DORGP for fast uncertainty quantification of multi-scale irregular defects in super large-scale fiber-reinforced composite

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17 cited
  • 2024A new paradigm for the efficient inclusion of stochasticity in engineering simulations: Time-separated stochastic mechanics11 cited
  • 2013On the application of intervening variables for stochastic finite element analysis10 cited
  • 2020An improved response function based stochastic meshless method for problems in elasto-statics10 cited
  • 2014A priori error estimation for the stochastic perturbation method9 cited
  • 2010Multiscale stochastic finite element modeling of random elastic heterogeneous materials9 cited