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DESIGN UNDER UNCERTAINTY EMPLOYING STOCHASTIC EXPANSION METHODS
13 references·16 citing·33 second hop
DESIGN UNDER UNCERTAINTY EMPLOYING STOCHASTIC EXPANSION METHODS (2011)DESIGN UNDER UNCERTAINTY EMPLOYING STOCHA…DAKOTA : a multilevel parallel object-oriented framework for design optimization, parameter estimation, uncertainty quantification, and sensitivity analysis. Version 5.0, user's manual. 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The solution of parametric and stochastic equations - the "plain vanilla" Galerkin case. 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this work references cited by second hop

References

  • 2002The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations4,821 cited
  • 1978Structural reliability under combined random load sequences2,229 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2004Sequential Optimization and Reliability Assessment Method for Efficient Probabilistic Design1,106 cited
  • 2008A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data942 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
  • 2008An Anisotropic Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data494 cited
  • 2004Finite elements for elliptic problems with stochastic coefficients364 cited
  • 2007Efficient Sampling for Non-Intrusive Polynomial Chaos Applications with Multiple Uncertain Input Variables347 cited
  • 1997Two basic problems in reliability-based structural optimization218 cited
  • 2001Safety-factor based approach for probability-based design optimization215 cited
  • 1987New Algorithm for Structural Reliability Estimation192 cited
  • 1982Fast probability integration by three-parameter normal tail approximation111 cited

Cited by

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  • 2016Gradient based design optimization under uncertainty via stochastic expansion methods69 cited
  • 2015Efficient methodologies for reliability-based design optimization of composite panels53 cited
  • 2015Monte Carlo Information-Reuse Approach to Aircraft Conceptual Design Optimization Under Uncertainty48 cited
  • 2010The impact of uncertainty on shape optimization of idealized bypass graft models in unsteady flow44 cited
  • 2013To be or not to be intrusive? The solution of parametric and stochastic equations - the "plain vanilla" Galerkin case.43 cited
  • 2013Wiener's Polynomial Chaos for the Analysis and Control of Nonlinear Dynamical Systems with Probabilistic Uncertainties36 cited
  • 2015Sparse Pseudo Spectral Projection Methods with Directional Adaptation for Uncertainty Quantification34 cited
  • 2016Stochastic simulation and robust design optimization of integrated photonic filters34 cited
  • 2016Multi-fidelity Methods in Aerodynamic Robust Optimization32 cited
  • 2020Bi-fidelity stochastic gradient descent for structural optimization under uncertainty25 cited
  • 2023Multifidelity uncertainty quantification with models based on dissimilar parameters24 cited
  • 2011An asymmetric dimension-adaptive tensor-product method for reliability analysis24 cited
  • 2020On Moment Estimation From Polynomial Chaos Expansion Models19 cited
  • 2018Enhancing Model Predictability for a Scramjet Using Probabilistic Learning on Manifolds19 cited
  • 2012An adaptive dimension decomposition and reselection method for reliability analysis17 cited
  • 2014Multi-scenario modelling of uncertainty in stochastic chemical systems15 cited