@inbook{9e2c543a99384df1bc802652e9c5c03d,
title = "An Inexact Bundle Method and Subgradient Computations for Optimal Control of Deterministic and Stochastic Obstacle Problems",
abstract = "The aim of this work is to develop an inexact bundle method for nonsmooth nonconvex minimization in Hilbert spaces and to investigate its application to optimal control problems with deterministic or stochastic obstacle problems as constraints. A central requirement is that (approximate) subgradients can be obtained at given points. The second part of the paper thus studies in detail how subgradients can be obtained for optimal control problems governed by (stochastic) obstacle problems.",
keywords = "Bundle method, Generalized derivatives, Nonsmooth optimization, Obstacle problem, Optimal control, Stochastic obstacle problem, Variational inequalities",
author = "Lukas Hertlein and Rauls, {Anne Therese} and Michael Ulbrich and Stefan Ulbrich",
note = "Publisher Copyright: {\textcopyright} 2022, Springer Nature Switzerland AG.",
year = "2022",
doi = "10.1007/978-3-030-79393-7_19",
language = "English",
series = "International Series of Numerical Mathematics",
publisher = "Springer Science and Business Media Deutschland GmbH",
pages = "467--497",
booktitle = "International Series of Numerical Mathematics",
}