Computational Optimization and Applications
Computational Optimization and Applications
Computational Optimization and Applications
Computational Optimization and Applications
Optimal Control for the Thermistor Problem
SIAM Journal on Control and Optimization
SIAM Journal on Optimization
Computational Optimization and Applications
SIAM Journal on Control and Optimization
Barrier Methods for Optimal Control Problems with Convex Nonlinear Gradient State Constraints
SIAM Journal on Optimization
SIAM Journal on Control and Optimization
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Primal-dual path-following methods for constrained minimization problems in function space with low multiplier regularity are introduced and analyzed. Regularity properties of the path are proved. The path structure allows us to define approximating models, which are used for controlling the path parameter in an iterative process for computing a solution of the original problem. The Moreau-Yosida regularized subproblems of the new path-following technique are solved efficiently by semismooth Newton methods. The overall algorithmic concept is provided, and numerical tests (including a comparison with primal-dual path-following interior point methods) for state constrained optimal control problems show the efficiency of the new concept.