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Hybrid Adjoint-based Robust Optimization Approach for Fluid-Dynamics Problems
15 references·0 citing·39 second hop
Hybrid Adjoint-based Robust Optimization Approach for Fluid-Dynamics Problems (2013)Hybrid Adjoint-based Robust Optimization …Adaptive ANOVA decomposition of stochastic incompressible and compressible flows (2011)Adaptive ANOVA decomposition …Shape optimization of an airfoil in a BZT flow with multiple-source uncertainties (2010)Shape optimization of an airf…On the use of second-order derivatives and metamodel-based Monte-Carlo for uncertainty estimation in aerodynamics (2010)On the use of second-order de…DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. (2010)DAKOTA : a multilevel paralle…Comparison of Intrusive and Non-Intrusive Polynomial Chaos Methods for CFD Applications in Aeronautics (2010)Comparison of Intrusive and N…Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification (2009)Comparison of Non-Intrusive P…Polynomial chaos expansion for sensitivity analysis (2008)Polynomial chaos expansion fo…Robust optimization – A comprehensive survey (2007)Robust optimization – A compr…Probabilistic Collocation: An Efficient Non-Intrusive Approach for Arbitrarily Distributed Parametric Uncertainties (2007)Probabilistic Collocation: An…Aerodynamic Shape Optimization with Uncertain Operating Conditions using Metamodels (2007)Aerodynamic Shape Optimizatio…Uncertainty propagation in CFD using polynomial chaos decomposition (2006)Uncertainty propagation in CF…Aerospace applications of optimization under uncertainty (2006)Aerospace applications of opt…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 …Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates (2001)Global sensitivity indices fo…Stochastic Finite Elements: A Spectral Approach (1991)A Comparison of Three Methods for Selecting Values of Input Variables in the Analysis of Output from a Computer Code (2000)Intrusive Galerkin methods with upwinding for uncertain nonlinear hyperbolic systems (2010)Time-dependent generalized polynomial chaos (2010)Adaptive sparse polynomial chaos expansions for global sensitivity analysis based on support vector regression (2017)Response Surface Methodology: Process and Product Optimization Using Designed Experiments (1996)Recent Advances in Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Analysis and Design (2009)Chaospy: An open source tool for designing methods of uncertainty quantification (2015)Structural reliability under combined random load sequences (1978)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Mixed aleatory-epistemic uncertainty quantification with stochastic expansions and optimization-based interval estimation (2011)Dakota, a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis version 6.0 theory manual (2014)First order reliability method for time-variant problems using series expansions (2014)A Stochastic Approximation Method (1951)Design and Analysis of Computer Experiments (1989)Fuzzy sets (1996)Computational methods in optimization considering uncertainties – An overview (2008)Review of uncertainty-based multidisciplinary design optimization methods for aerospace vehicles (2011)Robust possibilistic programming for socially responsible supply chain network design: A new approach (2012)Latin hypercube sampling and the propagation of uncertainty in analyses of complex systems (2003)Data-driven uncertainty quantification using the arbitrary polynomial chaos expansion (2012)Stochastic analysis of the fracture toughness of polymeric nanoparticle composites using polynomial chaos expansions (2017)Sensitivity and uncertainty analysis for flexoelectric nanostructures (2018)A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics (2004)An adaptive hierarchical sparse grid collocation algorithm for the solution of stochastic differential equations (2009)Reweighted minimization method for stochastic elliptic differential equations (2013)Enabling High-Dimensional Hierarchical Uncertainty Quantification by ANOVA and Tensor-Train Decomposition (2014)Ablative thermal protection system under uncertainties including pyrolysis gas composition (2018)Global sensitivity analysis using polynomial chaos expansions (2007)Adaptive sparse polynomial chaos expansion based on least angle regression (2010)A new uncertainty importance measure (2006)Variance based sensitivity analysis of model output. 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References

  • 2001Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates6,377 cited
  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 2007Robust optimization – A comprehensive survey1,603 cited
  • 2003Modeling uncertainty in flow simulations via generalized polynomial chaos1,428 cited
  • 2010DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual.775 cited
  • 2008Polynomial chaos expansion for sensitivity analysis747 cited
  • 2009Comparison of Non-Intrusive Polynomial Chaos and Stochastic Collocation Methods for Uncertainty Quantification348 cited
  • 2006Uncertainty propagation in CFD using polynomial chaos decomposition254 cited
  • 2007Probabilistic Collocation: An Efficient Non-Intrusive Approach for Arbitrarily Distributed Parametric Uncertainties168 cited
  • 2011Adaptive ANOVA decomposition of stochastic incompressible and compressible flows127 cited
  • 2006Aerospace applications of optimization under uncertainty72 cited
  • 2010Shape optimization of an airfoil in a BZT flow with multiple-source uncertainties64 cited
  • 2010Comparison of Intrusive and Non-Intrusive Polynomial Chaos Methods for CFD Applications in Aeronautics32 cited
  • 2010

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On the use of second-order derivatives and metamodel-based Monte-Carlo for uncertainty estimation in aerodynamics
31 cited
  • 2007Aerodynamic Shape Optimization with Uncertain Operating Conditions using Metamodels18 cited
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