@misc{SchielaHintermueller2011, author = {Schiela, Anton and Hinterm{\"u}ller, Michael}, title = {On the Length of the Primal-Dual Path in Moreau-Yosida-based Path-following for State Constrained Optimal Control: Analysis and Numerics}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-14071}, number = {11-37}, year = {2011}, abstract = {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.}, language = {en} } @article{HintermuellerStengl2024, author = {Hinterm{\"u}ller, Michael and Stengl, Steven-Marian}, title = {A Generalized 𝛤-Convergence Concept for a Class of Equilibrium Problems}, volume = {34}, journal = {Journal of Nonlinear Science}, number = {83}, doi = {10.1007/s00332-024-10059-x}, year = {2024}, language = {en} } @misc{GahururuHintermuellerStengletal.2022, author = {Gahururu, Deborah and Hinterm{\"u}ller, Michael and Stengl, Steven-Marian and Surowiec, Thomas M.}, title = {Generalized Nash equilibrium problems with partial differential operators: theory, algorithms, and risk aversion}, journal = {Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization}, year = {2022}, language = {en} }