A multi-mode expansion method for boundary optimal control problems constrained by random Poisson equations
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Publication:779916
DOI10.3934/era.2020052OpenAlexW3035570356MaRDI QIDQ779916
Jingshi Li, Juntao You, Guoliang Ju, Jiachuan Zhang
Publication date: 14 July 2020
Published in: Electronic Research Archive (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/era.2020052
boundary controlalternating direction method of multipliersmulti-modes representationrandom optimal control problemsrandom Poisson equations
Monte Carlo methods (65C05) Numerical optimization and variational techniques (65K10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Cites Work
- Unnamed Item
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- Multilevel and weighted reduced basis method for stochastic optimal control problems constrained by Stokes equations
- On the \(O(1/t)\) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators
- Numerical optimal control for problems with random forced SPDE constraints
- Multi-level Monte Carlo finite element method for elliptic PDEs with stochastic coefficients
- A scalable framework for the solution of stochastic inverse problems using a sparse grid collocation approach
- An efficient Monte Carlo method for optimal control problems with uncertainty
- An efficient alternating direction method of multipliers for optimal control problems constrained by random Helmholtz equations
- Nonnegative tensor factorizations using an alternating direction method
- A domain decomposition algorithm for optimal control problems governed by elliptic PDEs with random inputs
- An efficient Monte Carlo interior penalty discontinuous Galerkin method for elastic wave scattering in random media
- On non-ergodic convergence rate of Douglas-Rachford alternating direction method of multipliers
- An alternating direction method of multipliers for elliptic equation constrained optimization problem
- Low-rank solvers for unsteady Stokes-Brinkman optimal control problem with random data
- \(O(1/t)\) complexity analysis of the generalized alternating direction method of multipliers
- A Trust-Region Algorithm with Adaptive Stochastic Collocation for PDE Optimization under Uncertainty
- On the $O(1/n)$ Convergence Rate of the Douglas–Rachford Alternating Direction Method
- An Efficient and Accurate Method for the Identification of the Most Influential Random Parameters Appearing in the Input Data for PDEs
- Solving Constrained Total-variation Image Restoration and Reconstruction Problems via Alternating Direction Methods
- Alternating Direction Algorithms for $\ell_1$-Problems in Compressive Sensing
- Existence and Optimality Conditions for Risk-Averse PDE-Constrained Optimization
- An Efficient Numerical Method for Acoustic Wave Scattering in Random Media
- Optimization with PDE Constraints
- Multigrid Methods and Sparse-Grid Collocation Techniques for Parabolic Optimal Control Problems with Random Coefficients
- Error Estimates for the Numerical Approximation of Dirichlet Boundary Control for Semilinear Elliptic Equations
- Mean-Variance Risk-Averse Optimal Control of Systems Governed by PDEs with Random Parameter Fields Using Quadratic Approximations
- Stochastic Collocation for Optimal Control Problems with Stochastic PDE Constraints
- A MULTIMODES MONTE CARLO FINITE ELEMENT METHOD FOR ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS WITH RANDOM COEFFICIENTS
- An Efficient Monte Carlo-Transformed Field Expansion Method for Electromagnetic Wave Scattering by Random Rough Surfaces
- A Low-Rank Tensor Method for PDE-Constrained Optimization with Isogeometric Analysis
- Convexification for the Inversion of a Time Dependent Wave Front in a Heterogeneous Medium
