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A polynomial chaos‐based approach to risk‐averse piezoelectric control of random vibrations of beams
8 references·0 citing·27 second hop
A polynomial chaos‐based approach to risk‐averse piezoelectric control of random vibrations of beams (2018)A polynomial chaos‐based approach to risk…Robust Averaged Control of Vibrations for the Bernoulli–Euler Beam Equation (2017)Robust Averaged Control of Vi…Robust optimal Robin boundary control for the transient heat equation with random input data (2016)Robust optimal Robin boundary…Gradient based design optimization under uncertainty via stochastic expansion methods (2016)Gradient based design optimiz…Stochastic finite element methods for partial differential equations with random input data (2014)Stochastic finite element met…ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS (2012)ON THE OPTIMAL POLYNOMIAL APP…Optimal control with stochastic PDE constraints and uncertain controls (2011)Optimal control with stochast…A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2010)A Stochastic Collocation Meth…Modeling, Measuring and Managing Risk (2007)Modeling, Measuring and Manag…Stochastic Finite Elements: A Spectral Approach (1991)An Introduction to Copulas (1999)The Wiener--Askey Polynomial Chaos for Stochastic Differential Equations (2002)Global sensitivity analysis through polynomial chaos expansion of a basin-scale geochemical compaction model (2012)Fast estimation of expected information gains for Bayesian experimental designs based on Laplace approximations (2013)Error Analysis of the Dynamically Orthogonal Approximation of Time Dependent Random PDEs (2015)High-Order Collocation Methods for Differential Equations with Random Inputs (2005)Recent Developments in Spectral Stochastic Methods for the Numerical Solution of Stochastic Partial Differential Equations (2009)An adaptive high-dimensional stochastic model representation technique for the solution of stochastic partial differential equations (2010)Multi-level Monte Carlo Finite Element method for elliptic PDEs with stochastic coefficients (2011)A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data (2007)Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients (2017)Robust Optimization of PDEs with Random Coefficients Using a Multilevel Monte Carlo Method (2019)Taylor approximation and variance reduction for PDE-constrained optimal control under uncertainty (2019)A Multilevel Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2015)Multilevel Estimation of Rare Events (2015)Structural Reliability Analysis and Prediction (2017)A Sparse Grid Stochastic Collocation Method for Partial Differential Equations with Random Input Data (2008)An ensemble scheme for the numerical solution of a random transient heat equation with uncertain inputs (2023)Robust Optimization of Large-Scale Systems (1995)A new non-intrusive polynomial chaos using higher order sensitivities (2017)Shape optimization under uncertainty for rotor blades of horizontal axis wind turbines (2019)An enhanced finite step length method for structural reliability analysis and reliability-based design optimization (2022)Uncertainty Quantification: Theory, Implementation, and Applications (2013)On a time consistency concept in risk averse multistage stochastic programming (2009)The 1/N investment strategy is optimal under high model ambiguity (2011)Risk management with expectiles (2015)
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References

  • 2010A Stochastic Collocation Method for Elliptic Partial Differential Equations with Random Input Data400 cited
  • 2007Modeling, Measuring and Managing Risk326 cited
  • 2014Stochastic finite element methods for partial differential equations with random input data218 cited
  • 2012ON THE OPTIMAL POLYNOMIAL APPROXIMATION OF STOCHASTIC PDES BY GALERKIN AND COLLOCATION METHODS136 cited
  • 2011Optimal control with stochastic PDE constraints and uncertain controls73 cited
  • 2016Gradient based design optimization under uncertainty via stochastic expansion methods69 cited
  • 2016Robust optimal Robin boundary control for the transient heat equation with random input data22 cited
  • 2017Robust Averaged Control of Vibrations for the Bernoulli–Euler Beam Equation19 cited

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