Primal-Dual Strategy for Constrained Optimal Control Problems
SIAM Journal on Control and Optimization
Primal-Dual Active Set Strategy for a General Class of Constrained Optimal Control Problems
SIAM Journal on Optimization
Superconvergence Properties of Optimal Control Problems
SIAM Journal on Control and Optimization
A variational discretization concept in control constrained optimization: the linear-quadratic case
Computational Optimization and Applications
A posteriori error analysis for higher order dissipative methods for evolution problems
Numerische Mathematik
SIAM Journal on Numerical Analysis
SIAM Journal on Control and Optimization
SIAM Journal on Control and Optimization
A Simplified Approach to Semismooth Newton Methods in Function Space
SIAM Journal on Optimization
SIAM Journal on Control and Optimization
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We consider a priori error analysis for a discretization of a linear quadratic parabolic optimal control problem with box constraints on the time-dependent control variable. For such problems one can show that a time-discrete solution with second order convergence can be obtained by a first order discontinuous Galerkin time discretization for the state variable and either the variational discretization approach or a post-processing strategy for the control variable. Here, by combining the two approaches for the control variable, we demonstrate that almost third order convergence with respect to the size of the time steps can be achieved.