An efficient ADAM-type algorithm with finite elements discretization technique for random elliptic optimal control problems

Optimality conditions for problems involving partial differential equations (49K20) Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) PDEs with randomness, stochastic partial differential equations (35R60)

Cites Work

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Numerical optimal control for problems with random forced SPDE constraints
Minimizing finite sums with the stochastic average gradient
Finite element approximations of stochastic optimal control problems constrained by stochastic elliptic PDEs
Using piecewise linear functions in the numerical approximation of semilinear elliptic control problems
Frontiers in PDE-constrained optimization. Selected papers based on the presentations at the workshop, Minneapolis, MN, USA, June 6--10, 2016
An efficient alternating direction method of multipliers for optimal control problems constrained by random Helmholtz equations
Stochastic proximal gradient methods for nonconvex problems in Hilbert spaces
A stochastic extra-step quasi-Newton method for nonsmooth nonconvex optimization
Trends in PDE constrained optimization
Approximation in the finite element method
An Introduction to Computational Stochastic PDEs
Numerical PDE-Constrained Optimization
Robust Stochastic Approximation Approach to Stochastic Programming
Galerkin Finite Element Approximations of Stochastic Elliptic Partial Differential Equations
PDE-Constrained Optimal Control Problems with Uncertain Parameters using SAGA
A MULTIMODES MONTE CARLO FINITE ELEMENT METHOD FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS
Complexity Analysis of stochastic gradient methods for PDE-constrained optimal Control Problems with uncertain parameters
Robust Optimization of PDEs with Random Coefficients Using a Multilevel Monte Carlo Method
Projected Stochastic Gradients for Convex Constrained Problems in Hilbert Spaces
A Stochastic Semismooth Newton Method for Nonsmooth Nonconvex Optimization
Multilevel Monte Carlo Analysis for Optimal Control of Elliptic PDEs with Random Coefficients
High-Order Collocation Methods for Differential Equations with Random Inputs
The Existence of Probability Measures with Given Marginals
Some methods of speeding up the convergence of iteration methods
A Stochastic Approximation Method
Adaptive stochastic gradient descent for optimal control of parabolic equations with random parameters

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