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Structural reliability under non-Gaussian stochastic behavior
10 references·16 citing·28 second hop
Structural reliability under non-Gaussian stochastic behavior (2004)Structural reliability under non-Gaussian…Polynomial Chaos Expansion with Latin Hypercube Sampling for Estimating Response Variability (2004)Polynomial Chaos Expansion wi…Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Modeling uncertainty in flow …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)A Comparison of Three Methods…Uncertainty Analysis of Transport-Transformation Models (1999)Uncertainty Analysis of Trans…Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements (1997)Uncertainties in probabilisti…A state-of-the-art report on computational stochastic mechanics (1997)A state-of-the-art report on …Direct incorporation of uncertainty in chemical and environmental engineering systems (1995)Direct incorporation of uncer…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (1979)A Comparison of Three Methods…Distribution-free polynomial chaos expansion surrogate models for efficient structural reliability analysis (2020)Distribution-free polynomial …A robust optimization approach based on multi-fidelity metamodel (2017)A robust optimization approac…Uncertainty quantification in reliability estimation with limit state surrogates (2016)Uncertainty quantification in…Stochastic finite element approaches for wood-based products: theoretical framework and review of methods (2015)Stochastic finite element app…Polynomial chaos expansion method in estimating probability distribution of rotor-shaft dynamic responses (2015)Polynomial chaos expansion me…Probabilistic performance assessment of a coal-fired power plant (2014)Probabilistic performance ass…Uncertainty quantification for algebraic systems of equations (2013)Uncertainty quantification fo…Karhunen–Loève decomposition of random fields based on a hierarchical matrix approach (2013)Karhunen–Loève decomposition …On the Capabilities of the Polynomial Chaos Expansion Method within SFE Analysis—An Overview (2011)On the Capabilities of the Po…Gaussian process emulators for the stochastic finite element method (2011)Gaussian process emulators fo…Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory (2010)Computational uncertainty ana…Uncertainty analysis of structural systems by perturbation techniques (2008)Uncertainty analysis of struc…Quasi random numbers in stochastic finite element analysis (2007)Quasi random numbers in stoch…Estimation of structural reliability for Gaussian random fields (2006)Estimation of structural reli…A univariate decomposition method for higher-order reliability analysis and design optimization (2006)A univariate decomposition me…A stochastic finite element procedure for moment and reliability analysis (2006)A stochastic finite element p…Random Fields: Analysis and Synthesis (1983)Latin Hypercube Sampling for Stochastic Finite Element Analysis (2002)Multi-resolution analysis of Wiener-type uncertainty propagation schemes (2004)Methods of structural safety (2006)Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Empirical Model Building and Response Surfaces (1988)Fuzzy sets (1996)Point-Collocation Nonintrusive Polynomial Chaos Method for Stochastic Computational Fluid Dynamics (2010)A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry (2015)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)A least-squares approximation of partial differential equations with high-dimensional random inputs (2009)Uncertainty quantification in chemical systems (2009)DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. 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References

  • 2000A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code8,233 cited
  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1979A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code3,766 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 1997A state-of-the-art report on computational stochastic mechanics424 cited
  • 1997Uncertainties in probabilistic numerical analysis of structures and solids-Stochastic finite elements354 cited
  • 1999Uncertainty Analysis of Transport-Transformation Models329 cited
  • 2004Polynomial Chaos Expansion with Latin Hypercube Sampling for Estimating Response Variability218 cited
  • 1995Direct incorporation of uncertainty in chemical and environmental engineering systems147 cited

Cited by

  • 2017A robust optimization approach based on multi-fidelity metamodel69 cited
  • 2010Computational uncertainty analysis in multiresolution materials via stochastic constitutive theory68 cited
  • 2011Gaussian process emulators for the stochastic finite element method47 cited
  • 2006A stochastic finite element procedure for moment and reliability analysis

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46 cited
  • 2020Distribution-free polynomial chaos expansion surrogate models for efficient structural reliability analysis43 cited
  • 2007Quasi random numbers in stochastic finite element analysis43 cited
  • 2014Probabilistic performance assessment of a coal-fired power plant32 cited
  • 2011On the Capabilities of the Polynomial Chaos Expansion Method within SFE Analysis—An Overview32 cited
  • 2006Estimation of structural reliability for Gaussian random fields32 cited
  • 2015Stochastic finite element approaches for wood-based products: theoretical framework and review of methods31 cited
  • 2016Uncertainty quantification in reliability estimation with limit state surrogates30 cited
  • 2015Polynomial chaos expansion method in estimating probability distribution of rotor-shaft dynamic responses28 cited
  • 2013Karhunen–Loève decomposition of random fields based on a hierarchical matrix approach27 cited
  • 2006A univariate decomposition method for higher-order reliability analysis and design optimization23 cited
  • 2008Uncertainty analysis of structural systems by perturbation techniques20 cited
  • 2013Uncertainty quantification for algebraic systems of equations18 cited