TY - GEN A1 - Schiela, Anton A1 - Hintermüller, Michael T1 - On the Length of the Primal-Dual Path in Moreau-Yosida-based Path-following for State Constrained Optimal Control: Analysis and Numerics N2 - We derive a-priori estimates on the length of the primal-dual path that results from a Moreau-Yosida approximation of the feasible set for state constrained optimal control problems. These bounds depend on the regularity of the state and the dimension of the problem. Comparison with numerical results indicates that these bounds are sharp and are attained for the case of a single active point. T3 - ZIB-Report - 11-37 KW - state constraints KW - PDE constrained optimization KW - path-following Y1 - 2011 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-14071 SN - 1438-0064 ER - TY - JOUR A1 - Hintermüller, Michael A1 - Stengl, Steven-Marian T1 - A Generalized 𝛤-Convergence Concept for a Class of Equilibrium Problems JF - Journal of Nonlinear Science Y1 - 2024 U6 - https://doi.org/10.1007/s00332-024-10059-x VL - 34 IS - 83 ER - TY - GEN A1 - Gahururu, Deborah A1 - Hintermüller, Michael A1 - Stengl, Steven-Marian A1 - Surowiec, Thomas M. T1 - Generalized Nash equilibrium problems with partial differential operators: theory, algorithms, and risk aversion T2 - Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization Y1 - 2022 ER -