Asymptotic mesh independence of Newton-Galerkin methods via a refined Mysovskii theorem
SIAM Journal on Numerical Analysis
Solution of Optimal Control Problems by a Pointwise Projected Newton Method
SIAM Journal on Control and Optimization
Primal-dual interior-point methods
Primal-dual interior-point methods
Computational Optimization and Applications
SIAM Journal on Control and Optimization
Computational Optimization and Applications
Affine Invariant Convergence Analysis for Inexact Augmented Lagrangian-SQP Methods
SIAM Journal on Control and Optimization
Semismooth Newton Methods for Operator Equations in Function Spaces
SIAM Journal on Optimization
The Primal-Dual Active Set Strategy as a Semismooth Newton Method
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
Interior Point Methods in Function Space
SIAM Journal on Control and Optimization
Path-following Methods for a Class of Constrained Minimization Problems in Function Space
SIAM Journal on Optimization
Primal-dual interior-point methods for PDE-constrained optimization
Mathematical Programming: Series A and B
| Hi-index | 0.00 |
A thorough convergence analysis of the Control Reduced Interior Point Method in function space is performed. This recently proposed method is a primal interior point pathfollowing scheme with the special feature that the control variable is eliminated from the optimality system. Apart from global linear convergence we show that this method converges locally superlinearly, if the optimal solution satisfies a certain non-degeneracy condition. In numerical experiments we observe that a prototype implementation of our method behaves as predicted by our theoretical results.