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Application of the stochastic finite element method for Gaussian and non-Gaussian systems
4 references·7 citing·32 second hop
Application of the stochastic finite element method for Gaussian and non-Gaussian systems (2004)Application of the stochastic finite elem…Non-Gaussian simulation using Hermite polynomials expansion and maximum entropy principle (2003)Non-Gaussian simulation using…Polynomial Chaos Decomposition for the Simulation of Non-Gaussian Nonstationary Stochastic Processes (2002)Polynomial Chaos Decompositio…Non-Gaussian simulation using Hermite polynomial expansion: convergences and algorithms (2002)Non-Gaussian simulation using…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Estimation of spatial uncertainty in material property distributions within heterogeneous structures using optimized convolutional neural networks (2022)Estimation of spatial uncerta…Modelling water flow through railway ballast with random permeability and a free boundary (2021)Modelling water flow through …Effect and identification of parametric distributed uncertainties in longitudinal wave propagation (2021)Effect and identification of …Wave propagation in slowly varying waveguides using a finite element approach (2018)Wave propagation in slowly va…Stochastic Galerkin techniques for random ordinary differential equations (2012)Stochastic Galerkin technique…Response variability of cylindrical shells with stochastic non-Gaussian material and geometric properties (2011)Response variability of cylin…Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements (2007)Intrusive versus Non-Intrusiv…Digital Generation of Non‐Gaussian Stochastic Fields (1988)Simulation of Stochastic Processes by Spectral Representation (1991)On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data (2006)Wiener Chaos expansions and numerical solutions of randomly forced equations of fluid mechanics (2006)Stochastic model reduction for chaos representations (2007)Entropy optimization principles with applications (1993)A state-of-the-art report on computational stochastic mechanics (1997)Stochastic dynamic systems with complex‐valued eigensolutions (2007)Simulation of stationary Gaussian/non-Gaussian stochastic processes based on stochastic harmonic functions (2021)Simulation of stationary non-Gaussian stochastic vector processes using an eigenvalue-based iterative translation approximation method (2022)Random Fields: Analysis and Synthesis (1983)The stochastic finite element method: Past, present and future (2008)Shell Buckling With Polymorphic Uncertain Surface Imperfections and Sensitivity Analysis (2021)Simulation of Multivariate and Multidimensional Random Processes (1971)Evaluation of Karhunen–Loève, Spectral, and Sampling Representations for Stochastic Processes (2006)An extended stochastic finite element method for solving stochastic partial differential equations on random domains (2008)Critical review and latest developments of a class of simulation algorithms for strongly non-Gaussian random fields (2008)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Enforcing positivity in intrusive PC-UQ methods for reactive ODE systems (2014)Numerical solution of stochastic differential equations (2016)Intrusive Polynomial Chaos Methods for Forward Uncertainty Propagation (2017)Stability Preservation in Stochastic Galerkin Projections of Dynamical Systems (2019)Simulation and the Monte Carlo Method (2007)Simulation of Stationary Non-Gaussian Translation Processes (1998)Simulation and the Monte Carlo method (2008)Simulation of simply cross correlated random fields by series expansion methods (2007)A new look at the response surface approach for reliability analysis (1993)Robust optimization of a multiscale heterogeneous catalytic reactor system with spatially‐varying uncertainty descriptions using polynomial chaos expansions (2017)Global sensitivity analysis with a hierarchical sparse metamodeling method (2018)Intrusive generalized polynomial chaos with asynchronous time integration for the solution of the unsteady Navier–Stokes equations (2021)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002Polynomial Chaos Decomposition for the Simulation of Non-Gaussian Nonstationary Stochastic Processes197 cited
  • 2002Non-Gaussian simulation using Hermite polynomial expansion: convergences and algorithms122 cited
  • 2003Non-Gaussian simulation using Hermite polynomials expansion and maximum entropy principle39 cited

Cited by

  • 2018Wave propagation in slowly varying waveguides using a finite element approach28 cited
  • 2012Stochastic Galerkin techniques for random ordinary differential equations25 cited
  • 2021Effect and identification of parametric distributed uncertainties in longitudinal wave propagation24 cited
  • 2007Intrusive versus Non-Intrusive Methods for Stochastic Finite Elements24 cited
  • 2011Response variability of cylindrical shells with stochastic non-Gaussian material and geometric properties18 cited
  • 2022Estimation of spatial uncertainty in material property distributions within heterogeneous structures using optimized convolutional neural networks11 cited
  • 2021Modelling water flow through railway ballast with random permeability and a free boundary8 cited

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