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Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach
8 references·16 citing·28 second hop
Sparse polynomial chaos expansions and adaptive stochastic finite elements using a regression approach (2008)Sparse polynomial chaos expansions and ad…Global sensitivity analysis using polynomial chaos expansions (2007)Global sensitivity analysis u…Stochastic finite element: a non intrusive approach by regression (2006)Stochastic finite element: a …Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure (2004)Physical Systems with Random …A Stochastic Projection Method for Fluid Flow (2002)A Stochastic Projection Metho…A Stochastic Projection Method for Fluid Flow (2001)A Stochastic Projection Metho…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…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 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this work references cited by second hop

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
  • 1979A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code3,766 cited
  • 2007Global sensitivity analysis using polynomial chaos expansions2,547 cited
  • 2004Physical Systems with Random Uncertainties: Chaos Representations with Arbitrary Probability Measure609 cited
  • 2002A Stochastic Projection Method for Fluid Flow503 cited
  • 2006Stochastic finite element: a non intrusive approach by regression427 cited
  • 2001A Stochastic Projection Method for Fluid Flow338 cited

Cited by

  • 2020Adaptive approaches in metamodel-based reliability analysis: A review280 cited
  • 2016Rare Event Estimation Using Polynomial-Chaos Kriging279 cited
  • 2021Sparse Polynomial Chaos Expansions: Literature Survey and Benchmark275 cited
  • 2015A new surrogate modeling technique combining Kriging and polynomial chaos expansions – Application to uncertainty analysis in computational dosimetry248 cited
  • 2013DIMENSIONALITY REDUCTION FOR COMPLEX MODELS VIA BAYESIAN COMPRESSIVE SENSING190 cited
  • 2010Adaptive-sparse polynomial chaos expansion for reliability analysis and design of complex engineering systems

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183 cited
  • 2009Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations181 cited
  • 2012A new adaptive response surface method for reliability analysis178 cited
  • 2015A guide to uncertainty quantification and sensitivity analysis for cardiovascular applications163 cited
  • 2011Stochastic modeling of uncertainties in computational structural dynamics—Recent theoretical advances161 cited
  • 2014Meta-model-based importance sampling for reliability sensitivity analysis158 cited
  • 2014Practical Application of the Stochastic Finite Element Method144 cited
  • 2017Bayesian sparse polynomial chaos expansion for global sensitivity analysis140 cited
  • 2015Metamodel-Based Sensitivity Analysis: Polynomial Chaos Expansions and Gaussian Processes126 cited
  • 2016Polynomial meta-models with canonical low-rank approximations: Numerical insights and comparison to sparse polynomial chaos expansions120 cited
  • 2016A robust and efficient stepwise regression method for building sparse polynomial chaos expansions114 cited