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Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods
6 references·16 citing·40 second hop
Probabilistic collocation method for flow in porous media: Comparisons with other stochastic methods (2007)Probabilistic collocation method for flow…Stochastic Approaches to Uncertainty Quantification in CFD Simulations (2005)Stochastic Approaches to Unce…Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos (2002)Modeling uncertainty in stead…The Massachusetts Institute of Technology (1999)The Massachusetts Institute o…Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems (1998)Stochastic Response Surface M…An efficient method for parametric uncertainty analysis of numerical geophysical models (1997)An efficient method for param…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Polynomial chaos expansions for dependent random variables (2019)Polynomial chaos expansions f…Incomplete statistical information limits the utility of high-order polynomial chaos expansions (2017)Incomplete statistical inform…Efficient evaluation of small failure probability in high‐dimensional groundwater contaminant transport modeling via a two‐stage M onte C arlo method (2017)Efficient evaluation of small…Efficient Bayesian Experimentation Using an Expected Information Gain Lower Bound (2017)Efficient Bayesian Experiment…Probabilistic collocation method for strongly nonlinear problems: 3. 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References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 1999The Massachusetts Institute of Technology3,135 cited
  • 2002Modeling uncertainty in steady state diffusion problems via generalized polynomial chaos552 cited
  • 1998Stochastic Response Surface Methods (SRSMs) for Uncertainty Propagation: Application to Environmental and Biological Systems387 cited
  • 1997An efficient method for parametric uncertainty analysis of numerical geophysical models334 cited
  • 2005Stochastic Approaches to Uncertainty Quantification in CFD Simulations281 cited

Cited by

  • 2015Coherence motivated sampling and convergence analysis of least squares polynomial Chaos regression134 cited
  • 2014Polynomial chaos expansions for uncertainty propagation and moment independent sensitivity analysis of seawater intrusion simulations115 cited
  • 2011A concept for data-driven uncertainty quantification and its application to carbon dioxide storage in geological formations106 cited
  • 2019Polynomial chaos expansions for dependent random variables80 cited
  • 2011Global sensitivity analysis: A flexible and efficient framework with an example from stochastic hydrogeology80 cited
  • 2013Multilevel Monte Carlo for two phase flow and Buckley–Leverett transport in random heterogeneous porous media61 cited
  • 2008Stochastic collocation and mixed finite elements for flow in porous media59 cited

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  • 2012Uncertainty quantification and film cooling51 cited
  • 2016Analysis of Uncertainty and Variability in Finite Element Computational Models for Biomedical Engineering: Characterization and Propagation44 cited
  • 2017Efficient Bayesian Experimentation Using an Expected Information Gain Lower Bound44 cited
  • 2014Capabilities of stochastic response surface method and response surface method in reliability analysis40 cited
  • 2014Polynomial Chaos Expansion for general multivariate distributions with correlated variables39 cited
  • 2016Probabilistic collocation method for strongly nonlinear problems: 3. Transform by time37 cited
  • 2017Efficient evaluation of small failure probability in high‐dimensional groundwater contaminant transport modeling via a two‐stage M onte C arlo method34 cited
  • 2016An improved multilevel Monte Carlo method for estimating probability distribution functions in stochastic oil reservoir simulations33 cited
  • 2017Incomplete statistical information limits the utility of high-order polynomial chaos expansions30 cited