Fast Iterative Solution of Saddle Point Problems in Optimal Control Based on Wavelets
Computational Optimization and Applications
On an Augmented Lagrangian SQP Method for a Class of Optimal Control Problems in Banach Spaces
Computational Optimization and Applications
Computational Optimization and Applications
Journal of Computational and Applied Mathematics
Adjoint concepts for the optimal control of Burgers equation
Computational Optimization and Applications
Quantitative stability analysis of optimal solutions in PDE-constrained optimization
Journal of Computational and Applied Mathematics
Efficient numerical solution of parabolic optimization problems by finite element methods
Optimization Methods & Software
Journal of Computational and Applied Mathematics
Hi-index | 0.00 |
A class of Lagrange--Newton--SQP methods is investigated for optimal control problems governed by semilinear parabolic initial-boundary value problems. Distributed and boundary controls are given, restricted by pointwise upper and lower bounds. The convergence of the method is discussed in appropriate Banach spaces. Based on a weak second order sufficient optimality condition for the reference solution, local quadratic convergence is proved. The proof is based on the theory of Newton methods for generalized equations in Banach spaces.