Boundary control of semilinear elliptic equations with pointwise state constraints
SIAM Journal on Control and Optimization
Primal-Dual Strategy for Constrained Optimal Control Problems
SIAM Journal on Control and Optimization
Optimal Control Problems with Mixed Control-State Constraints
SIAM Journal on Control and Optimization
Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems
SIAM Journal on Optimization
Primal-Dual Strategy for State-Constrained Optimal Control Problems
Computational Optimization and Applications
Regular Lagrange Multipliers for Control Problems with Mixed Pointwise Control-State Constraints
SIAM Journal on Optimization
A variational discretization concept in control constrained optimization: the linear-quadratic case
Computational Optimization and Applications
Error Estimates for the Numerical Approximation of Boundary Semilinear Elliptic Control Problems
Computational Optimization and Applications
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Convergence of a Finite Element Approximation to a State-Constrained Elliptic Control Problem
SIAM Journal on Numerical Analysis
Constrained Dirichlet Boundary Control in $L^2$ for a Class of Evolution Equations
SIAM Journal on Control and Optimization
Error estimates for the numerical approximation of Neumann control problems
Computational Optimization and Applications - Special issue: Numerical analysis of optimization in partial differential equations
Computational Optimization and Applications
SIAM Journal on Control and Optimization
SIAM Journal on Numerical Analysis
Computational Optimization and Applications
Computational Optimization and Applications
Stability of semilinear elliptic optimal control problems with pointwise state constraints
Computational Optimization and Applications
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In this paper we consider a state-constrained optimal control problem with boundary control, where the state constraints are imposed only in an interior subdomain. Our goal is to derive a priori error estimates for a finite element discretization with and without additional regularization. We will show that the separation of the set where the control acts and the set where the state constraints are given improves the approximation rates significantly. The theoretical results are illustrated by numerical computations.