Preconditioned Solution of State Gradient Constrained Elliptic Optimal Control Problems
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Publication:2796859
DOI10.1137/130948045zbMath1335.49043OpenAlexW2298808835MaRDI QIDQ2796859
Publication date: 30 March 2016
Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/130948045
optimal controlpreconditioningeigenvalue boundssemismooth Newton methodquadratic penalty methodsaddle-point systemsstate gradient constraints
Multigrid methods; domain decomposition for boundary value problems involving PDEs (65N55) Optimality conditions for problems involving partial differential equations (49K20) Newton-type methods (49M15) Discrete approximations in optimal control (49M25) Preconditioners for iterative methods (65F08)
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- An aggregation-based algebraic multigrid method
- Finite element approximation of elliptic control problems with constraints on the gradient
- Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state
- Stability estimates and structural spectral properties of saddle point problems
- Semi-smooth Newton methods for state-constrained optimal control problems
- Optimal control of PDEs with regularized pointwise state constraints
- A note on preconditioners and scalar products in Krylov subspace methods for self-adjoint problems in Hilbert space
- The finite element method with Lagrangian multipliers
- A Robust Preconditioner for Distributed Optimal Control for Stokes Flow with Control Constraints
- Directional Sparsity in Optimal Control of Partial Differential Equations
- An Algebraic Multigrid Method with Guaranteed Convergence Rate
- A Posteriori Error Estimation in PDE-constrained Optimization with Pointwise Inequality Constraints
- Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints
- Preconditioned Conjugate Gradient Method for Optimal Control Problems with Control and State Constraints
- Nonstandard Norms and Robust Estimates for Saddle Point Problems
- Aggregation-Based Algebraic Multigrid for Convection-Diffusion Equations
- Numerical solution of saddle point problems
- Preconditioning of Active-Set Newton Methods for PDE-constrained Optimal Control Problems
- Barrier Methods for Optimal Control Problems with State Constraints
- Spectral Analysis of Saddle Point Matrices with Indefinite Leading Blocks
- Mixed and Hybrid Finite Element Methods
- A Preconditioned Iterative Method for Saddlepoint Problems
- Primal-Dual Strategy for Constrained Optimal Control Problems
- Preconditioning in H(𝑑𝑖𝑣) and applications
- Semi–Smooth Newton Methods for Variational Inequalities of the First Kind
- Semismooth Newton Methods for Operator Equations in Function Spaces
- The Primal-Dual Active Set Strategy as a Semismooth Newton Method
- Smoothing Methods and Semismooth Methods for Nondifferentiable Operator Equations
- Choosing the Forcing Terms in an Inexact Newton Method
- Weak-Duality Based Adaptive Finite Element Methods for PDE-Constrained Optimization with Pointwise Gradient STATE-Constratints
- Preconditioning for partial differential equation constrained optimization with control constraints
- Operator Preconditioning for a Class of Inequality Constrained Optimal Control Problems
- Preconditioners for state-constrained optimal control problems with Moreau-Yosida penalty function
- Three Matlab Implementations of the Lowest-order Raviart-Thomas Mfem with a Posteriori Error Control
- Finite Elements
