Primal-Dual Strategy for State-Constrained Optimal Control Problems
Computational Optimization and Applications
Multigrid methods for parabolic distributed optimal control problems
Journal of Computational and Applied Mathematics
Computational Optimization and Applications
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
Optimal Control of PDEs with Regularized Pointwise State Constraints
Computational Optimization and Applications
Computational Optimization and Applications
A priori error estimates for elliptic optimal control problems with a bilinear state equation
Journal of Computational and Applied Mathematics
Computational Optimization and Applications
Computational Optimization and Applications
Computational Optimization and Applications
Computational Optimization and Applications
A multigrid method for constrained optimal control problems
Journal of Computational and Applied Mathematics
Robust error estimates for the finite element approximation of elliptic optimal control problems
Journal of Computational and Applied Mathematics
SIAM Journal on Control and Optimization
Mixed Finite Element Method for Dirichlet Boundary Control Problem Governed by Elliptic PDEs
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
Preconditioning for Allen-Cahn variational inequalities with non-local constraints
Journal of Computational Physics
Computational Optimization and Applications
Directional Sparsity in Optimal Control of Partial Differential Equations
SIAM Journal on Control and Optimization
Mimetic Discretizations of Elliptic Control Problems
Journal of Scientific Computing
Computational Optimization and Applications
An all-at-once approach for the optimal control of the unsteady Burgers equation
Journal of Computational and Applied Mathematics
Computational Optimization and Applications
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An algorithm for efficient solution of control constrained optimal control problems is proposed and analyzed. It is based on an active set strategy involving primal as well as dual variables. For discretized problems sufficient conditions for convergence in finitely many iterations are given. Numerical examples are given and the role of the strict complementarity condition is discussed.