A FE-ADMM algorithm for Lavrentiev-regularized state-constrained elliptic control problem
DOI10.1051/cocv/2018019zbMath1437.49003arXiv1611.04286OpenAlexW2963910924WikidataQ130128672 ScholiaQ130128672MaRDI QIDQ5107907
Bo Yu, Xiaoliang Song, XuPing Zhang, Zixuan Chen
Publication date: 29 April 2020
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1611.04286
optimal controlerror estimatespointwise state constraintsLavrentiev regularizationtwo-phase strategyheterogeneous alternating direction method of multipliers (hADMM)linear finite element discretization
Existence theories for optimal control problems involving partial differential equations (49J20) Distributed algorithms (68W15) Linear optimal control problems (49N05) Error analysis and interval analysis (65G99)
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Cites Work
- Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- An efficient inexact symmetric Gauss-Seidel based majorized ADMM for high-dimensional convex composite conic programming
- A mixed finite element scheme for optimal control problems with pointwise state constraints
- Variational discretization of Lavrentiev-regularized state constrained elliptic optimal control problems
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Primal-dual strategy for state-constrained optimal control problems
- Preconditioning PDE-constrained optimization with \(L^1\)-sparsity and control constraints
- A variational discretization concept in control constrained optimization: The linear-quadratic case
- \(L^ 2\) estimates for the finite element method for the Dirichlet problem with singular data
- The convergence of an interior point method for an elliptic control problem with mixed control-state constraints
- Semi-smooth Newton methods for state-constrained optimal control problems
- Optimal control of PDEs with regularized pointwise state constraints
- Hankel Matrix Rank Minimization with Applications to System Identification and Realization
- Optimal Control for an Elliptic System with Polygonal State Constraints
- Proximal schemes for parabolic optimal control problems with sparsity promoting cost functionals
- Boundary Control of Semilinear Elliptic Equations with Pointwise State Constraints
- Optimization with PDE Constraints
- Realistic Eigenvalue Bounds for the Galerkin Mass Matrix
- Boundary control of semilinear elliptic equations with discontinuous leading coefficients and unbounded controls
- Augemented Lagrangian Techniques for Elliptic State Constrained Optimal Control Problems
- Semismooth Newton Methods for Operator Equations in Function Spaces
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- A two‐phase strategy for control constrained elliptic optimal control problems
- An Inexact Accelerated Proximal Gradient Method for Large Scale Linearly Constrained Convex SDP
- Quasi-Interpolation and A Posteriori Error Analysis in Finite Element Methods
- Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function
- Feasible and Noninterior Path‐Following in Constrained Minimization with Low Multiplier Regularity
- On two numerical methods for state-constrained elliptic control problems
- Path-following Methods for a Class of Constrained Minimization Problems in Function Space
- Numerical Analysis of a Control and State Constrained Elliptic Control Problem with Piecewise Constant Control Approximations
- A Schur complement based semi-proximal ADMM for convex quadratic conic programming and extensions
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