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Quantification of Uncertainty in Flow Simulations Using Probabilistic Methods
8 references·4 citing·40 second hop
Quantification of Uncertainty in Flow Simulations Using Probabilistic Methods (2009)Quantification of Uncertainty in Flow Sim…Sparse grid collocation schemes for stochastic natural convection problems (2007)Sparse grid collocation schem…Stochastic analysis of transport in tubes with rough walls (2006)Stochastic analysis of transp…On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data (2006)On the construction and analy…Measures of agreement between computation and experiment: Validation metrics (2006)Measures of agreement between…Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Latin hypercube sampling and …The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)The Wiener--Askey Polynomial …Investigation of Evidence Theory for Engineering Applications (2002)Investigation of Evidence The…Stochastic Finite Elements: A Spectral Approach (1991)Stochastic Finite Elements: A…Uncertainty quantification: data assimilation, propagation and validation of the numerical model of the Arade river cable-stayed bridge (2022)Uncertainty quantification: d…Ensemble Kalman Filters and geometric characterization of sensitivity spaces for uncertainty quantification in optimization (2015)Ensemble Kalman Filters and g…Uncertainty quantification by geometric characterization of sensitivity spaces (2014)Uncertainty quantification by…Hydroelastic optimization of a keel fin of a sailing boat: a multidisciplinary robust formulation for ship design (2012)Hydroelastic optimization of …Advances in the Dempster-Shafer theory of evidence (1994)Different methods are needed to propagate ignorance and variability (1996)Error and uncertainty in modeling and simulation (2002)The Value of Using Imprecise Probabilities in Engineering Design (2005)A response surface approach for structural reliability analysis using evidence theory (2014)Structural reliability analysis using a copula-function-based evidence theory model (2014)Value At Risk: The New Benchmark for Managing Financial Risk (2000)Structural Reliability Analysis and Prediction (2017)A New Study on Reliability-Based Design Optimization (1999)Robust optimization – A comprehensive survey (2007)Uncertainty Quantification and Polynomial Chaos Techniques in Computational Fluid Dynamics (2008)Development of Multidisciplinary Design Optimization Algorithms for Ship Design Under Uncertainty. (2012)A variable-accuracy metamodel-based architecture for global MDO under uncertainty (2016)Hull form reliability-based robust design optimization combining polynomial chaos expansion and maximum entropy method (2019)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)Efficient computation of global sensitivity indices using sparse polynomial chaos expansions (2010)Stochastic finite element methods for partial differential equations with random input data (2014)Modeling uncertainty in flow simulations via generalized polynomial chaos (2003)Stochastic model reduction for chaos representations (2007)A better understanding of model updating strategies in validating engineering models (2008)A least-squares approximation of partial differential equations with high-dimensional random inputs (2009)An Introduction to Error Analysis (1982)An Introduction to Error Analysis: The Study of Uncertainties in Physical Measurements (1998)Verification and Validation in Computational Science and Engineering (1998)Model validation and predictive capability for the thermal challenge problem (2007)Toward a Better Understanding of Model Validation Metrics (2011)Stochastic Differential Equations: An Introduction with Applications. (1987)An extended stochastic finite element method for solving stochastic partial differential equations on random domains (2008)Analysis of the domain mapping method for elliptic diffusion problems on random domains (2016)Analytic regularity and collocation approximation for elliptic PDEs with random domain deformations (2016)Empirical Model Building and Response Surfaces (1988)Design and Analysis of Computer Experiments (1989)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Survey of sampling-based methods for uncertainty and sensitivity analysis (2006)A Review on Global Sensitivity Analysis Methods (2015)Sensitivity analysis: A review of recent advances (2015)Global sensitivity analysis using polynomial chaos expansions (2007)AK-MCS: An active learning reliability method combining Kriging and Monte Carlo Simulation (2011)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)
this work references cited by second hop

References

  • 1991Stochastic Finite Elements: A Spectral Approach5,753 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2003Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems2,707 cited
  • 2006Measures of agreement between computation and experiment: Validation metrics494 cited
  • 2007Sparse grid collocation schemes for stochastic natural convection problems401 cited
  • 2006On the construction and analysis of stochastic models: Characterization and propagation of the errors associated with limited data191 cited
  • 2002Investigation of Evidence Theory for Engineering Applications106 cited
  • 2006Stochastic analysis of transport in tubes with rough walls104 cited

Cited by

  • 2012Hydroelastic optimization of a keel fin of a sailing boat: a multidisciplinary robust formulation for ship design21 cited
  • 2015Ensemble Kalman Filters and geometric characterization of sensitivity spaces for uncertainty quantification in optimization10 cited
  • 2014Uncertainty quantification by geometric characterization of sensitivity spaces10 cited
  • 2022Uncertainty quantification: data assimilation, propagation and validation of the numerical model of the Arade river cable-stayed bridge5 cited

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