Publications associées à Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters

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Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Fabio Nobile, Giovanni Migliorati, Erik Gustaf Bogislaw Von Schwerin

In this work we consider the random discrete

L^2

projection on polynomial spaces (hereafter RDP) for the approximation of scalar quantities of interest (QOIs) related to the solution of a partial differential equation model with random input parameters. ...

Siam Publications2013

Stochastic approximation methods for PDE constrained optimal control problems with uncertain parameters

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MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties

Perturbation analysis for the Darcy problem with log-normal permeability

MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Multistable randomly switching oscillators: The odds of meeting a ghost

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

Robust Capacity Assignment Solutions for Telecommunications Networks with Uncertain Demands

Risk-averse shortest path problems

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

MATHICSE Technical Report : A posteriori error estimations for elliptic partial differential equations with small uncertainties

MATHICSE Technical Report : Analytic regularity and collocation approximation for PDEs with random domain deformations

Multistable randomly switching oscillators: The odds of meeting a ghost

MATHICSE Technical Report : Perturbation analysis for the Darcy problem with log-normal permeability

Risk-averse shortest path problems

Robust Capacity Assignment Solutions for Telecommunications Networks with Uncertain Demands

Approximation of Quantities of Interest in Stochastic PDEs by the Random Discrete $L^2$ Projection on Polynomial Spaces

Methodology to account for uncertainties and tradeoffs in pharmaceutical environmental hazard assessment

Stochastic Optimal Robin Boundary Control Problems of Advection-Dominated Elliptic Equations

Perturbation analysis for the Darcy problem with log-normal permeability