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Inexact Objective Function Evaluations in a Trust-Region Algorithm for PDE-Constrained Optimization under Uncertainty
5 references·6 citing·32 second hop
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this work references cited by second hop

References

  • 2000Interpolation of Spatial Data: Some Theory for Kriging1,916 cited
  • 2005High-Order Collocation Methods for Differential Equations with Random Inputs1,522 cited
  • 2007A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data1,396 cited
  • 2010A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data400 cited
  • 2013A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty113 cited

Cited by

  • 2018Existence and Optimality Conditions for Risk-Averse PDE-Constrained Optimization54 cited
  • 2017Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients48 cited
  • 2019An Efficient, Globally Convergent Method for Optimization Under Uncertainty Using Adaptive Model Reduction and Sparse Grids46 cited
  • 2019Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty42 cited
  • 2018Optimization of PDEs with Uncertain Inputs25 cited
  • 2018Extreme value oriented random field discretization based on an hybrid polynomial chaos expansion — Kriging approach24 cited

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