## Preprints

Number | Authors | Title | Project | Date | Links |
---|---|---|---|---|---|

SPP1962-181 |
Hedwig Keller Sören Bartels Gerd Wachsmuth |
Numerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation | 1 | 11/2021 | [pdf], [bib] |

SPP1962-172 |
Sören Bartels Robert Tovey Friedrich Wassmer |
Singular Solutions, Graded Meshes, and Adaptivity for Total-Variation Regularized Minimization Problems | 1 | 06/2021 | [pdf], [bib] |

SPP1962-147 |
Lev Lokutsievskiy Gerd Wachsmuth Mikhail Zelikin |
Non-optimality of Conical Parts for Newton’s Problem of Minimal Resistance in the Class of Convex Bodies | 1 | 09/2020 | [pdf], [bib] |

SPP1962-132 |
Sören Bartels |
Nonconforming Discretizations of Convex Minimization Problems and Precise Relations to Mixed Methods | 1 | 02/2020 | [pdf], [bib] |

SPP1962-196 |
Bennet Gebken |
Using Second-Order Information in Gradient Sampling Methods for Nonsmooth Optimization | 2 | 10/2022 | [pdf], [bib] |

SPP1962-182 |
Bennet Gebken Katharina Bieker Sebastian Peitz |
On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms | 2 | 11/2021 | [pdf], [bib] published |

SPP1962-167 |
Marco Bernreuther Georg Müller Stefan Volkwein |
Stationarity Conditions and Scalarization in Multiobjective Optimal Control of a Nonsmooth PDE | 2 | 04/2021 | [pdf], [bib] |

SPP1962-138r |
Marco Bernreuther Georg Müller Stefan Volkwein |
Reduced Basis Model Order Reduction in Optimal Control of a Nonsmooth Semilinear Elliptic PDE | 2 | 04/2021 | [pdf], [bib] |

SPP1962-166 |
Stefan Banholzer Bennet Gebken Lena Reichle Stefan Volkwein |
ROM-Based Inexact Subdivision Methods for PDE-Constrained Multiobjective Optimization | 2 | 04/2021 | [pdf], [bib] |

SPP1962-156 |
Sebastian Peitz Katharina Bieker |
On the Universal Transformation of Data-Driven Models to Control Systems | 2 | 02/2021 | [pdf], [bib] |

SPP1962-153 |
Katharina Bieker Bennet Gebken Sebastian Peitz |
On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation | 2 | 12/2020 | [pdf], [bib] published |

SPP1962-141 |
Bennet Gebken Sebastian Peitz |
Inverse Multiobjective Optimization: Inferring Decision Criteria from Data | 2 | 07/2020 | [pdf], [bib] published |

SPP1962-140 |
Bennet Gebken Sebastian Peitz |
An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems | 2 | 04/2020 | [pdf], [bib] published |

SPP1962-139 |
Stefan Banholzer Giulia Fabrini Lars Grüne Stefan Volkwein |
Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation | 2 | 04/2020 | [pdf], [bib] |

SPP1962-130 |
Constantin Christof Georg Müller |
Multiobjective Optimal Control of a Non-Smooth Semilinear Elliptic Partial Differential Equation | 2 | 01/2020 | [pdf], [bib] |

SPP1962-191 |
Alberto De Marchi Xiaoxi Jia Christian Kanzow Patrick Mehlitz |
Constrained Structured Optimization and Augmented Lagrangian Proximal Methods | 3, 11 | 04/2022 | [pdf], [bib] |

SPP1962-189 |
Daniel Wachsmuth Gerd Wachsmuth |
A Simple Proof of the Baillon--Haddad Theorem on Open Subsets of Hilbert Spaces | 3, 11 | 04/2022 | [pdf], [bib] |

SPP1962-188 |
Markus Friedemann Felix Harder Gerd Wachsmuth |
Finding Global Solutions of Some Inverse Optimal Control Problems using Penalization and Semismooth Newton Methods | 3 | 03/2022 | [pdf], [bib] |

SPP1962-186 |
Constantin Christof Gerd Wachsmuth |
Semismoothness for Solution Operators of Obstacle-Type Variational Inequalities with Applications in Optimal Control | 3 | 01/2022 | [pdf], [bib] |

SPP1962-184 |
Daniel Wachsmuth Gerd Wachsmuth |
Second-Order Conditions for Non-Uniformly Convex Integrands: Quadratic Growth in $L^1$ | 3, 11 | 11/2021 | [pdf], [bib] |

SPP1962-180 |
Felix Harder Gerd Wachsmuth |
M-stationarity for a class of MPCCs in Lebesgue spaces | 3 | 10/2021 | [pdf], [bib] |

SPP1962-179 |
Alexander Y. Kruger Patrick Mehlitz |
Optimality conditions, approximate stationarity, and applications --- a story beyond Lipschitzness | 3 | 10/2021 | [pdf], [bib] |

SPP1962-177 |
Gerd Wachsmuth |
From Resolvents to Generalized Equations and Quasi-variational Inequalities: Existence and Differentiability | 3 | 09/2021 | [pdf], [bib] |

SPP1962-175 |
Felix Harder |
New Stationarity Conditions between Strong and M-Stationarity for Mathematical Programs with Complementarity Constraints | 3 | 09/2021 | [pdf], [bib] |

SPP1962-174 |
Gerd Wachsmuth |
Maximal Monotone Operators with Non-Maximal Graphical Limit | 3 | 07/2021 | [pdf], [bib] |

SPP1962-173 |
Patrick Mehlitz Gerd Wachsmuth |
Subdifferentiation of Nonconvex Sparsity-Promoting Functionals on Lebesgue Spaces | 3 | 07/2021 | [pdf], [bib] |

SPP1962-170 |
Xiaoxi Jia Christian Kanzow Patrick Mehlitz Gerd Wachsmuth |
An Augmented Lagrangian Method for Optimization Problems with Structured Geometric Constraints | 3, 11 | 05/2021 | [pdf], [bib] |

SPP1962-169 |
Constantin Christof Gerd Wachsmuth |
Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-type Quasi-variational Inequalities | 3 | 05/2021 | [pdf], [bib] |

SPP1962-154 |
Ira Neitzel Gerd Wachsmuth |
First-order Conditions for the Optimal Control of the Obstacle Problem with State Constraints | 3, 15 | 12/2020 | [pdf], [bib] |

SPP1962-151 |
Felix Harder |
A New Elementary Proof for M-stationarity under MPCC-GCQ for Mathematical Programs with Complementarity Constraints | 3 | 11/2020 | [pdf], [bib] |

SPP1962-135 |
Felix Harder Patrick Mehlitz Gerd Wachsmuth |
Reformulation of the M-stationarity Conditions as a System of Discontinuous Equations and its Solution by a Semismooth Newton Method | 3 | 02/2020 | [pdf], [bib] published |

SPP1962-128 |
Eike Börgens Christian Kanzow Patrick Mehlitz Gerd Wachsmuth |
New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Cone Continuity Properties | 3, 11 | 12/2019 | [pdf], [bib] published |

SPP1962-125 |
Yu Deng Patrick Mehlitz Uwe Prüfert |
Coupled versus Decoupled Penalization of Control Complementarity Constraints | 3 | 10/2019 | [pdf], [bib] published |

SPP1962-159 |
Anton Schiela Matthias Stöcklein Martin Weiser |
A Primal Dual Projection Algorithm for Efficient Constraint Preconditioning | 4 | 03/2021 | [pdf], [bib] |

SPP1962-199 |
Michael Herty Stefan Ulbrich |
Numerics and Control of Conservation Laws | 5, 21 | 10/2022 | [pdf], [bib] |

SPP1962-150 |
Michael Herty Sonja Steffensen Anna Thünen |
Multiscale Control of Stackelberg Games | 5 | 11/2020 | [pdf], [bib] |

SPP1962-149 |
Simone Göttlich Michael Herty Gediyon Weldegiyorgis |
Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity | 5 | 11/2020 | [pdf], [bib] |

SPP1962-126 |
Martin Frank Michael Herty Torsten Trimborn |
Microscopic Derivation of Mean Field Game Models | 5 | 11/2019 | [pdf], [bib] |

SPP1962-194 |
Lukas Baumgärtner Ronny Bergmann Roland Herzog Stephan Schmidt José Vidal-Núñez |
Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging | 6 | 09/2022 | [pdf], [bib] |

SPP1962-195 |
Lukas Baumgärtner Roland Herzog Stephan Schmidt Manuel Weiß |
The Proximal Map of the Weighted Mean Absolute Error | 6 | 09/2022 | [pdf], [bib] |

SPP1962-185 |
Ronny Bergmann Roland Herzog Julián Ortiz López Anton Schiela |
First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints | 6 | 12/2021 | [pdf], [bib] published |

SPP1962-165 |
Peter Marvin Müller Niklas Kühl Martin Siebenborn Klaus Deckelnick Michael Hinze Thomas Rung |
A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization | 8 | 03/2021 | [pdf], [bib] |

SPP1962-162 |
Klaus Deckelnick Philip J. Herbert Michael Hinze |
A Novel $W^{1,infty}$ Approach to Shape Optimisation with Lipschitz Domains | 8 | 03/2021 | [pdf], [bib] |

SPP1962-198 |
Amal Alphonse Caroline Geiersbach Michael Hintermüller Thomas M. Surowiec |
Risk-Averse Optimal Control of Random Elliptic Variational Inequalities | 9, 10 | 10/2022 | [pdf], [bib] |

SPP1962-198 |
Amal Alphonse Caroline Geiersbach Michael Hintermüller Thomas M. Surowiec |
Risk-Averse Optimal Control of Random Elliptic Variational Inequalities | 9, 10 | 10/2022 | [pdf], [bib] |

SPP1962-145r |
Amal Alphonse Michael Hintermüller Carlos N. Rautenberg |
On the Differentiability of the Minimal and Maximal Solution Maps of Elliptic Quasi-variational Inequalities | 10 | 10/2021 | [pdf], [bib] |

SPP1962-152 |
Amal Alphonse Carlos N. Rautenberg Josė Francisco Rodrigues |
Analysis of a Quasi-variational Contact Problem Arising in Thermoelasticity | 10 | 11/2020 | [pdf], [bib] |

SPP1962-144 |
Amal Alphonse Michael Hintermüller Carlos N. Rautenberg |
Optimal Control and Directional Differentiability for Elliptic Quasi-variational Inequalities | 10 | 08/2020 | [pdf], [bib] |

SPP1962-201 |
Daniel Wachsmuth |
A Topological Derivative-Based Algorithm to Solve Optimal Control Problems with $L^0(Omega)$ Control Cost | 11 | 11/2022 | [pdf], [bib] |

SPP1962-191 |
Alberto De Marchi Xiaoxi Jia Christian Kanzow Patrick Mehlitz |
Constrained Structured Optimization and Augmented Lagrangian Proximal Methods | 3, 11 | 04/2022 | [pdf], [bib] |

SPP1962-189 |
Daniel Wachsmuth Gerd Wachsmuth |
A Simple Proof of the Baillon--Haddad Theorem on Open Subsets of Hilbert Spaces | 3, 11 | 04/2022 | [pdf], [bib] |

SPP1962-184 |
Daniel Wachsmuth Gerd Wachsmuth |
Second-Order Conditions for Non-Uniformly Convex Integrands: Quadratic Growth in $L^1$ | 3, 11 | 11/2021 | [pdf], [bib] |

SPP1962-178 |
Carolin Natemeyer Daniel Wachsmuth |
A Penalty Scheme to Solve Constrained Non-convex Optimization Problems in $BV(Omega)$ | 11 | 10/2021 | [pdf], [bib] |

SPP1962-170 |
Xiaoxi Jia Christian Kanzow Patrick Mehlitz Gerd Wachsmuth |
An Augmented Lagrangian Method for Optimization Problems with Structured Geometric Constraints | 3, 11 | 05/2021 | [pdf], [bib] |

SPP1962-142 |
Carolin Natemeyer Daniel Wachsmuth |
A Proximal Gradient Method for Control Problems with Nonsmooth and Nonconvex Control Cost | 11 | 07/2020 | [pdf], [bib] |

SPP1962-134 |
Nguyen Thanh Qui Daniel Wachsmuth |
Full Stability for Variational Nash Equilibriums of Parametric Optimal Control Problems of PDEs | 11 | 02/2020 | [pdf], [bib] |

SPP1962-133 |
Eduardo Casas Daniel Wachsmuth |
Analysis of Optimal Control Problems with an $L^0$ Term in the Cost Functional | 11 | 02/2020 | [pdf], [bib] |

SPP1962-128 |
Eike Börgens Christian Kanzow Patrick Mehlitz Gerd Wachsmuth |
New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Cone Continuity Properties | 3, 11 | 12/2019 | [pdf], [bib] published |

SPP1962-163 |
Felix Bestehorn Christoph Hansknecht Christian Kirches Paul Manns |
Switching Cost Aware Rounding for Relaxations of Mixed-Integer Optimal Control Problems: the Two-Dimensional Case | 12 | 03/2021 | [pdf], [bib] |

SPP1962-164 |
Felix Bestehorn Christian Kirches |
Matching Algorithms and Complexity Results for Constrained Mixed-Integer Optimal Control with Switching Costs | 12 | 03/2021 | [pdf], [bib] |

SPP1962-148 |
Felix Bestehorn Christoph Hansknecht Christian Kirches Paul Manns |
Mixed-Integer Optimal Control Problems with Switching Costs: a Shortest Path Approach | 12 | 09/2020 | [pdf], [bib] published |

SPP1962-146 |
Christian Kirches Paul Manns Stefan Ulbrich |
Compactness and Convergence Rates in the Combinatorial Integral Approximation Decomposition | 12 | 09/2020 | [pdf], [bib] published |

SPP1962-124 |
Felix Bestehorn Christoph Hansknecht Christian Kirches Paul Manns |
A Switching Cost Aware Rounding Method for Relaxations of Mixed-Integer Optimal Control Problems | 12 | 10/2019 | [pdf], [bib] published |

SPP1962-190 |
Merlin Andreia Christian Meyer |
An Adaptive Time Stepping Scheme for Rate-Independent Systems With Non-Convex Energy | 13 | 04/2022 | [pdf], [bib] |

SPP1962-171 |
Dorothee Knees Christian Meyer Michael Sievers |
Optimal Control of Non-Convex Rate-Independent Systems via Vanishing Viscosity -- the Finite Dimensional Case | 13 | 06/2021 | [pdf], [bib] |

SPP1962-168 |
Michael Sievers |
Convergence Analysis of a Local Stationarity Scheme for Rate-Independent Systems and Application to Damage | 13 | 04/2021 | [pdf], [bib] |

SPP1962-136 |
Christian Meyer Stephan Walther |
Optimal Control of Perfect Plasticity Part II: Displacement Tracking | 13 | 03/2020 | [pdf], [bib] |

SPP1962-129 |
Christian Meyer Stephan Walther |
Optimal Control of Perfect Plasticity Part I: Stress Tracking | 13 | 01/2020 | [pdf], [bib] |

SPP1962-123 |
Hannes Meinlschmidt Christian Meyer Stephan Walther |
Optimal Control of an Abstract Evolution Variational Inequality with Application to Homogenized Plasticity | 13 | 09/2019 | [pdf], [bib] |

SPP1962-122 |
Dorothee Knees Chiara Zanini |
Existence of Parameterized BV-solutions for Rate-Independent Systems with Discontinuous Loads | 13 | 09/2019 | [pdf], [bib] |

SPP1962-200 |
Sebastian Hillbrecht Paul Manns Christian Meyer |
Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part II: Convergence Analysis | 14 | 11/2022 | [pdf], [bib] |

SPP1962-193 |
Sebastian Hillbrecht Christian Meyer |
Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part I: Existence Results | 14 | 08/2022 | [pdf], [bib] |

SPP1962-187 |
Dirk Lorenz Hinrich Mahler Christian Meyer |
$L^alpha$-Regularization of the Beckmann Problem | 14 | 01/2022 | [pdf], [bib] |

SPP1962-161 |
Dirk Lorenz Hinrich Mahler |
Orlicz Space Regularization of Continuous Optimal Transport Problems | 14 | 03/2021 | [pdf], [bib] |

SPP1962-121 |
Christian Clason Dirk A. Lorenz Hinrich Mahler Benedikt Wirth |
Entropic Regularization of Continuous Optimal Transport Problems | 14, 17 | 09/2019 | [pdf], [bib] published |

SPP1962-120 |
Dirk A. Lorenz Paul Manns Christian Meyer |
Quadratically Regularized Optimal Transport | 14 | 09/2019 | [pdf], [bib] published |

SPP1962-183 |
Denis Khimin Marc C. Steinbach Thomas Wick |
Space-time Formulation and Time Discretization of Phase-field Fracture Optimal Control Problems | 15 | 10/2021 | [pdf], [bib] |

SPP1962-160 |
Denis Khimin Marc C. Steinbach Thomas Wick |
Optimal Control for Phase-Field Fracture: Algorithmic Concepts and Computations | 15 | 03/2021 | [pdf], [bib] |

SPP1962-157 |
Andreas Hehl Ira Neitzel |
Second Order Optimality Conditions for an Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model | 15 | 03/2021 | [pdf], [bib] |

SPP1962-154 |
Ira Neitzel Gerd Wachsmuth |
First-order Conditions for the Optimal Control of the Obstacle Problem with State Constraints | 3, 15 | 12/2020 | [pdf], [bib] |

SPP1962-137r |
Adrian Hirn Winnifried Wollner |
An Optimal Control Problem for Equations with $p$-Structure and its Finite Element Discretization | 15 | 10/2020 | [pdf], [bib] |

SPP1962-192 |
Bastian Pötzl Anton Schiela Patrick Jaap |
Inexact Proximal Newton Methods in Hilbert Spaces | 16 | 04/2022 | [pdf], [bib] |

SPP1962-158 |
Bastian Pötzl Anton Schiela Patrick Jaap |
Second Order Semismooth Proximal Newton Methods in Hilbert Spaces | 16 | 03/2021 | [pdf], [bib] published |

SPP1962-121 |
Christian Clason Dirk A. Lorenz Hinrich Mahler Benedikt Wirth |
Entropic Regularization of Continuous Optimal Transport Problems | 14, 17 | 09/2019 | [pdf], [bib] published |

SPP1962-199 |
Michael Herty Stefan Ulbrich |
Numerics and Control of Conservation Laws | 5, 21 | 10/2022 | [pdf], [bib] |

SPP1962-197 |
Michael Ulbrich Julia Wachter |
On Generalized Nash Equilibrium Problems in Infinite-Dimensional Spaces using Nikaido--Isoda type Functionals | 21 | 10/2022 | [pdf], [bib] |

SPP1962-176 |
Martin Brokate Michael Ulbrich |
Newton Differentiability of Convex Functions in Normed Spaces and of a Class of Operators | 21 | 09/2021 | [pdf], [bib] |

SPP1962-143 |
Anne-Therese Rauls Stefan Ulbrich |
On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem | 21 | 08/2020 | [pdf], [bib] |

SPP1962-127 |
Antoine Laurain Malte Winckler Irwin Yousept |
Shape Optimization for Superconductors Governed by H(Curl)-Elliptic Variational Inequalities | 22 | 11/2019 | [pdf], [bib] published |

Hedwig Keller, Sören Bartels, Gerd Wachsmuth: Numerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation (SPP1962-181, 11/2021, [bib])

Sören Bartels, Robert Tovey, Friedrich Wassmer: Singular Solutions, Graded Meshes, and Adaptivity for Total-Variation Regularized Minimization Problems (SPP1962-172, 06/2021, [bib])

Lev Lokutsievskiy, Gerd Wachsmuth, Mikhail Zelikin: Non-optimality of Conical Parts for Newton’s Problem of Minimal Resistance in the Class of Convex Bodies (SPP1962-147, 09/2020, [bib])

Sören Bartels: Nonconforming Discretizations of Convex Minimization Problems and Precise Relations to Mixed Methods (SPP1962-132, 02/2020, [bib])

Bennet Gebken: Using Second-Order Information in Gradient Sampling Methods for Nonsmooth Optimization (SPP1962-196, 10/2022, [bib])

Bennet Gebken, Katharina Bieker, Sebastian Peitz: On the Structure of Regularization Paths for Piecewise Differentiable Regularization Terms (SPP1962-182, 11/2021, [bib],published)

Marco Bernreuther, Georg Müller, Stefan Volkwein: Stationarity Conditions and Scalarization in Multiobjective Optimal Control of a Nonsmooth PDE (SPP1962-167, 04/2021, [bib])

Marco Bernreuther, Georg Müller, Stefan Volkwein: Reduced Basis Model Order Reduction in Optimal Control of a Nonsmooth Semilinear Elliptic PDE (SPP1962-138r, 04/2021, [bib])

Stefan Banholzer, Bennet Gebken, Lena Reichle, Stefan Volkwein: ROM-Based Inexact Subdivision Methods for PDE-Constrained Multiobjective Optimization (SPP1962-166, 04/2021, [bib])

Sebastian Peitz, Katharina Bieker: On the Universal Transformation of Data-Driven Models to Control Systems (SPP1962-156, 02/2021, [bib])

Katharina Bieker, Bennet Gebken, Sebastian Peitz: On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation (SPP1962-153, 12/2020, [bib],published)

Bennet Gebken, Sebastian Peitz: Inverse Multiobjective Optimization: Inferring Decision Criteria from Data (SPP1962-141, 07/2020, [bib],published)

Bennet Gebken, Sebastian Peitz: An Efficient Descent Method for Locally Lipschitz Multiobjective Optimization Problems (SPP1962-140, 04/2020, [bib],published)

Stefan Banholzer, Giulia Fabrini, Lars Grüne, Stefan Volkwein: Multiobjective Model Predictive Control of a Parabolic Advection-Diffusion-Reaction Equation (SPP1962-139, 04/2020, [bib])

Constantin Christof, Georg Müller: Multiobjective Optimal Control of a Non-Smooth Semilinear Elliptic Partial Differential Equation (SPP1962-130, 01/2020, [bib])

Alberto De Marchi, Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz: Constrained Structured Optimization and Augmented Lagrangian Proximal Methods (SPP1962-191, 04/2022, [bib])

Daniel Wachsmuth, Gerd Wachsmuth: A Simple Proof of the Baillon--Haddad Theorem on Open Subsets of Hilbert Spaces (SPP1962-189, 04/2022, [bib])

Markus Friedemann, Felix Harder, Gerd Wachsmuth: Finding Global Solutions of Some Inverse Optimal Control Problems using Penalization and Semismooth Newton Methods (SPP1962-188, 03/2022, [bib])

Constantin Christof, Gerd Wachsmuth: Semismoothness for Solution Operators of Obstacle-Type Variational Inequalities with Applications in Optimal Control (SPP1962-186, 01/2022, [bib])

Daniel Wachsmuth, Gerd Wachsmuth: Second-Order Conditions for Non-Uniformly Convex Integrands: Quadratic Growth in $L^1$ (SPP1962-184, 11/2021, [bib])

Felix Harder, Gerd Wachsmuth: M-stationarity for a class of MPCCs in Lebesgue spaces (SPP1962-180, 10/2021, [bib])

Alexander Y. Kruger, Patrick Mehlitz: Optimality conditions, approximate stationarity, and applications --- a story beyond Lipschitzness (SPP1962-179, 10/2021, [bib])

Gerd Wachsmuth: From Resolvents to Generalized Equations and Quasi-variational Inequalities: Existence and Differentiability (SPP1962-177, 09/2021, [bib])

Felix Harder: New Stationarity Conditions between Strong and M-Stationarity for Mathematical Programs with Complementarity Constraints (SPP1962-175, 09/2021, [bib])

Gerd Wachsmuth: Maximal Monotone Operators with Non-Maximal Graphical Limit (SPP1962-174, 07/2021, [bib])

Patrick Mehlitz, Gerd Wachsmuth: Subdifferentiation of Nonconvex Sparsity-Promoting Functionals on Lebesgue Spaces (SPP1962-173, 07/2021, [bib])

Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth: An Augmented Lagrangian Method for Optimization Problems with Structured Geometric Constraints (SPP1962-170, 05/2021, [bib])

Constantin Christof, Gerd Wachsmuth: Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-type Quasi-variational Inequalities (SPP1962-169, 05/2021, [bib])

Ira Neitzel, Gerd Wachsmuth: First-order Conditions for the Optimal Control of the Obstacle Problem with State Constraints (SPP1962-154, 12/2020, [bib])

Felix Harder: A New Elementary Proof for M-stationarity under MPCC-GCQ for Mathematical Programs with Complementarity Constraints (SPP1962-151, 11/2020, [bib])

Felix Harder, Patrick Mehlitz, Gerd Wachsmuth: Reformulation of the M-stationarity Conditions as a System of Discontinuous Equations and its Solution by a Semismooth Newton Method (SPP1962-135, 02/2020, [bib],published)

Eike Börgens, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth: New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Cone Continuity Properties (SPP1962-128, 12/2019, [bib],published)

Yu Deng, Patrick Mehlitz, Uwe Prüfert: Coupled versus Decoupled Penalization of Control Complementarity Constraints (SPP1962-125, 10/2019, [bib],published)

Anton Schiela, Matthias Stöcklein, Martin Weiser: A Primal Dual Projection Algorithm for Efficient Constraint Preconditioning (SPP1962-159, 03/2021, [bib])

Michael Herty, Stefan Ulbrich: Numerics and Control of Conservation Laws (SPP1962-199, 10/2022, [bib])

Michael Herty, Sonja Steffensen, Anna Thünen: Multiscale Control of Stackelberg Games (SPP1962-150, 11/2020, [bib])

Simone Göttlich, Michael Herty, Gediyon Weldegiyorgis: Input-to-State Stability of a Scalar Conservation Law with Nonlocal Velocity (SPP1962-149, 11/2020, [bib])

Martin Frank, Michael Herty, Torsten Trimborn: Microscopic Derivation of Mean Field Game Models (SPP1962-126, 11/2019, [bib])

Lukas Baumgärtner, Ronny Bergmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez: Total Generalized Variation for Piecewise Constant Functions on Triangular Meshes with Applications in Imaging (SPP1962-194, 09/2022, [bib])

Lukas Baumgärtner, Roland Herzog, Stephan Schmidt, Manuel Weiß: The Proximal Map of the Weighted Mean Absolute Error (SPP1962-195, 09/2022, [bib])

Ronny Bergmann, Roland Herzog, Julián Ortiz López, Anton Schiela: First- and Second-Order Analysis for Optimization Problems with Manifold-Valued Constraints (SPP1962-185, 12/2021, [bib],published)

Peter Marvin Müller, Niklas Kühl, Martin Siebenborn, Klaus Deckelnick, Michael Hinze, Thomas Rung: A Novel $p$-Harmonic Descent Approach Applied to Fluid Dynamic Shape Optimization (SPP1962-165, 03/2021, [bib])

Klaus Deckelnick, Philip J. Herbert, Michael Hinze: A Novel $W^{1,infty}$ Approach to Shape Optimisation with Lipschitz Domains (SPP1962-162, 03/2021, [bib])

Amal Alphonse, Caroline Geiersbach, Michael Hintermüller, Thomas M. Surowiec: Risk-Averse Optimal Control of Random Elliptic Variational Inequalities (SPP1962-198, 10/2022, [bib])

Amal Alphonse, Caroline Geiersbach, Michael Hintermüller, Thomas M. Surowiec: Risk-Averse Optimal Control of Random Elliptic Variational Inequalities (SPP1962-198, 10/2022, [bib])

Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg: On the Differentiability of the Minimal and Maximal Solution Maps of Elliptic Quasi-variational Inequalities (SPP1962-145r, 10/2021, [bib])

Amal Alphonse, Carlos N. Rautenberg, Josė Francisco Rodrigues: Analysis of a Quasi-variational Contact Problem Arising in Thermoelasticity (SPP1962-152, 11/2020, [bib])

Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg: Optimal Control and Directional Differentiability for Elliptic Quasi-variational Inequalities (SPP1962-144, 08/2020, [bib])

Daniel Wachsmuth: A Topological Derivative-Based Algorithm to Solve Optimal Control Problems with $L^0(Omega)$ Control Cost (SPP1962-201, 11/2022, [bib])

Alberto De Marchi, Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz: Constrained Structured Optimization and Augmented Lagrangian Proximal Methods (SPP1962-191, 04/2022, [bib])

Daniel Wachsmuth, Gerd Wachsmuth: A Simple Proof of the Baillon--Haddad Theorem on Open Subsets of Hilbert Spaces (SPP1962-189, 04/2022, [bib])

Daniel Wachsmuth, Gerd Wachsmuth: Second-Order Conditions for Non-Uniformly Convex Integrands: Quadratic Growth in $L^1$ (SPP1962-184, 11/2021, [bib])

Carolin Natemeyer, Daniel Wachsmuth: A Penalty Scheme to Solve Constrained Non-convex Optimization Problems in $BV(Omega)$ (SPP1962-178, 10/2021, [bib])

Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth: An Augmented Lagrangian Method for Optimization Problems with Structured Geometric Constraints (SPP1962-170, 05/2021, [bib])

Carolin Natemeyer, Daniel Wachsmuth: A Proximal Gradient Method for Control Problems with Nonsmooth and Nonconvex Control Cost (SPP1962-142, 07/2020, [bib])

Nguyen Thanh Qui, Daniel Wachsmuth: Full Stability for Variational Nash Equilibriums of Parametric Optimal Control Problems of PDEs (SPP1962-134, 02/2020, [bib])

Eduardo Casas, Daniel Wachsmuth: Analysis of Optimal Control Problems with an $L^0$ Term in the Cost Functional (SPP1962-133, 02/2020, [bib])

Eike Börgens, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth: New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Cone Continuity Properties (SPP1962-128, 12/2019, [bib],published)

Felix Bestehorn, Christoph Hansknecht, Christian Kirches, Paul Manns: Switching Cost Aware Rounding for Relaxations of Mixed-Integer Optimal Control Problems: the Two-Dimensional Case (SPP1962-163, 03/2021, [bib])

Felix Bestehorn, Christian Kirches: Matching Algorithms and Complexity Results for Constrained Mixed-Integer Optimal Control with Switching Costs (SPP1962-164, 03/2021, [bib])

Felix Bestehorn, Christoph Hansknecht, Christian Kirches, Paul Manns: Mixed-Integer Optimal Control Problems with Switching Costs: a Shortest Path Approach (SPP1962-148, 09/2020, [bib],published)

Christian Kirches, Paul Manns, Stefan Ulbrich: Compactness and Convergence Rates in the Combinatorial Integral Approximation Decomposition (SPP1962-146, 09/2020, [bib],published)

Felix Bestehorn, Christoph Hansknecht, Christian Kirches, Paul Manns: A Switching Cost Aware Rounding Method for Relaxations of Mixed-Integer Optimal Control Problems (SPP1962-124, 10/2019, [bib],published)

Merlin Andreia, Christian Meyer: An Adaptive Time Stepping Scheme for Rate-Independent Systems With Non-Convex Energy (SPP1962-190, 04/2022, [bib])

Dorothee Knees, Christian Meyer, Michael Sievers: Optimal Control of Non-Convex Rate-Independent Systems via Vanishing Viscosity -- the Finite Dimensional Case (SPP1962-171, 06/2021, [bib])

Michael Sievers: Convergence Analysis of a Local Stationarity Scheme for Rate-Independent Systems and Application to Damage (SPP1962-168, 04/2021, [bib])

Christian Meyer, Stephan Walther: Optimal Control of Perfect Plasticity Part II: Displacement Tracking (SPP1962-136, 03/2020, [bib])

Christian Meyer, Stephan Walther: Optimal Control of Perfect Plasticity Part I: Stress Tracking (SPP1962-129, 01/2020, [bib])

Hannes Meinlschmidt, Christian Meyer, Stephan Walther: Optimal Control of an Abstract Evolution Variational Inequality with Application to Homogenized Plasticity (SPP1962-123, 09/2019, [bib])

Dorothee Knees, Chiara Zanini: Existence of Parameterized BV-solutions for Rate-Independent Systems with Discontinuous Loads (SPP1962-122, 09/2019, [bib])

Sebastian Hillbrecht, Paul Manns, Christian Meyer: Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part II: Convergence Analysis (SPP1962-200, 11/2022, [bib])

Sebastian Hillbrecht, Christian Meyer: Bilevel Optimization of the Kantorovich Problem and its Quadratic Regularization Part I: Existence Results (SPP1962-193, 08/2022, [bib])

Dirk Lorenz, Hinrich Mahler, Christian Meyer: $L^alpha$-Regularization of the Beckmann Problem (SPP1962-187, 01/2022, [bib])

Dirk Lorenz, Hinrich Mahler: Orlicz Space Regularization of Continuous Optimal Transport Problems (SPP1962-161, 03/2021, [bib])

Christian Clason, Dirk A. Lorenz, Hinrich Mahler, Benedikt Wirth: Entropic Regularization of Continuous Optimal Transport Problems (SPP1962-121, 09/2019, [bib],published)

Dirk A. Lorenz, Paul Manns, Christian Meyer: Quadratically Regularized Optimal Transport (SPP1962-120, 09/2019, [bib],published)

Denis Khimin, Marc C. Steinbach, Thomas Wick: Space-time Formulation and Time Discretization of Phase-field Fracture Optimal Control Problems (SPP1962-183, 10/2021, [bib])

Denis Khimin, Marc C. Steinbach, Thomas Wick: Optimal Control for Phase-Field Fracture: Algorithmic Concepts and Computations (SPP1962-160, 03/2021, [bib])

Andreas Hehl, Ira Neitzel: Second Order Optimality Conditions for an Optimal Control Problem Governed by a Regularized Phase-Field Fracture Propagation Model (SPP1962-157, 03/2021, [bib])

Ira Neitzel, Gerd Wachsmuth: First-order Conditions for the Optimal Control of the Obstacle Problem with State Constraints (SPP1962-154, 12/2020, [bib])

Adrian Hirn, Winnifried Wollner: An Optimal Control Problem for Equations with $p$-Structure and its Finite Element Discretization (SPP1962-137r, 10/2020, [bib])

Bastian Pötzl, Anton Schiela, Patrick Jaap: Inexact Proximal Newton Methods in Hilbert Spaces (SPP1962-192, 04/2022, [bib])

Bastian Pötzl, Anton Schiela, Patrick Jaap: Second Order Semismooth Proximal Newton Methods in Hilbert Spaces (SPP1962-158, 03/2021, [bib],published)

Christian Clason, Dirk A. Lorenz, Hinrich Mahler, Benedikt Wirth: Entropic Regularization of Continuous Optimal Transport Problems (SPP1962-121, 09/2019, [bib],published)

Michael Herty, Stefan Ulbrich: Numerics and Control of Conservation Laws (SPP1962-199, 10/2022, [bib])

Michael Ulbrich, Julia Wachter: On Generalized Nash Equilibrium Problems in Infinite-Dimensional Spaces using Nikaido--Isoda type Functionals (SPP1962-197, 10/2022, [bib])

Martin Brokate, Michael Ulbrich: Newton Differentiability of Convex Functions in Normed Spaces and of a Class of Operators (SPP1962-176, 09/2021, [bib])

Anne-Therese Rauls, Stefan Ulbrich: On the Characterization of Generalized Derivatives for the Solution Operator of the Bilateral Obstacle Problem (SPP1962-143, 08/2020, [bib])

Antoine Laurain, Malte Winckler, Irwin Yousept: Shape Optimization for Superconductors Governed by H(Curl)-Elliptic Variational Inequalities (SPP1962-127, 11/2019, [bib],published)

## Preprints from Phase 1:

Number | Authors | Title | Project | Date | Links |
---|---|---|---|---|---|

SPP1962-089 |
Sören Bartels Gerd Wachsmuth |
Numerical Approximation of Optimal Convex Shapes | 1, 6 | 10/2018 | [pdf], [bib] |

SPP1962-045 |
Sören Bartels Lars Diening Ricardo Nochetto |
Unconditional Stability of Semi-Implicit Discretizations of Singular Flows | 1 | 11/2017 | [pdf], [bib] published |

SPP1962-037 |
Sören Bartels Patrick Schön |
Adaptive Approximation of the Monge--Kantorovich Problem via Primal-Dual Gap Estimates | 1 | 10/2017 | [pdf], [bib] published |

SPP1962-035 |
Sören Bartels Stephan Hertzog |
Error Bounds for Discretized Optimal Transport and its Reliable Efficient Numerical Solution | 1 | 10/2017 | [pdf], [bib] |

SPP1962-032 |
Sören Bartels Giuseppe Buttazzo |
Numerical Solution of a Nonlinear Eigenvalue Problem Arising in Optimal Insulation | 1 | 08/2017 | [pdf], [bib] |

SPP1962-033 |
Raul Borsche Axel Klar |
Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation | 2 | 08/2017 | [pdf], [bib] |

SPP1962-109 |
Christian Kirches Ekaterina Kostina Andreas Meyer Matthias Schlöder |
Numerical Solution of Optimal Control Problems with Switches, Switching Costs and Jumps | 3 | 03/2019 | [pdf], [bib] |

SPP1962-119 |
Christian Clason Vu Huu |
Bouligand--Levenberg--Marquardt Iteration for a Non-smooth Ill-posed Inverse Problem | 4 | 09/2019 | [pdf], [bib] published |

SPP1962-110 |
Christian Clason Vu Huu Nhu |
Bouligand–-Landweber Iteration for a Non-smooth Ill-posed Problem | 4 | 03/2019 | [pdf], [bib] |

SPP1962-101 |
Christian Clason Vu Huu Nhu Arnd Rösch |
Optimal Control of a Non-smooth Quasilinear Elliptic Equation | 4 | 12/2018 | [pdf], [bib] |

SPP1962-081 |
Christian Clason Yu Deng Patrick Mehlitz Uwe Prüfert |
Optimal Control Problems with Control Complementarity Constraints | 4, 6 | 10/2018 | [pdf], [bib] |

SPP1962-020 |
Constantin Christof Christian Clason Christian Meyer Stephan Walther |
Optimal Control of a Non-smooth Semilinear Elliptic Equation | 4, 16 | 05/2017 | [pdf], [bib] published |

SPP1962-117 |
Stefan Banholzer Stefan Volkwein |
Hierarchical Convex Multiobjective Optimization by the Euclidean Reference Point Method | 5 | 08/2019 | [pdf], [bib] |

SPP1962-043 |
Stefan Banholzer Eugen Makarov Stefan Volkwein |
POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena | 5 | 11/2017 | [pdf], [bib] published |

SPP1962-024 |
Dennis Beermann Michael Dellnitz Sebastian Peitz Stefan Volkwein |
POD-Based Multiobjective Optimal Control of PDEs with Non-smooth Objectives | 5 | 06/2017 | [pdf], [bib] published |

SPP1962-017 |
Dennis Beermann Michael Dellnitz Sebastian Peitz Stefan Volkwein |
Set-Oriented Multiobjective Optimal Control of PDEs using Proper Orthogonal Decomposition | 5 | 04/2017 | [pdf], [bib] published |

SPP1962-014 |
Stefan Banholzer Dennis Beermann Stefan Volkwein |
POD-Based Bicriterial Optimal Control by the Reference Point Method | 5 | 04/2017 | [pdf], [bib] published |

SPP1962-015 |
Stefan Banholzer Dennis Beermann Stefan Volkwein |
POD-Based Error Control for Reduced-Order Bicriterial PDE-Constrained Optimization | 5 | 04/2017 | [pdf], [bib] published |

SPP1962-118 |
Gerd Wachsmuth |
Elliptic Quasi-Variational Inequalities under a Smallness Assumption: Uniqueness, Differential Stability and Optimal Control | 6 | 09/2019 | [pdf], [bib] |

SPP1962-113 |
Constantin Christof Gerd Wachsmuth |
On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem | 6 | 06/2019 | [pdf], [bib] |

SPP1962-094 |
Tobias Geiger Daniel Wachsmuth Gerd Wachsmuth |
Optimal Control of ODEs with State Suprema | 6, 14 | 10/2018 | [pdf], [bib] |

SPP1962-089 |
Sören Bartels Gerd Wachsmuth |
Numerical Approximation of Optimal Convex Shapes | 1, 6 | 10/2018 | [pdf], [bib] |

SPP1962-088 |
Tommy Etling Roland Herzog Estefanía Loayza Gerd Wachsmuth |
First and Second Order Shape Optimization Based on Restricted Mesh Deformations | 6, 8 | 10/2018 | [pdf], [bib] |

SPP1962-081 |
Christian Clason Yu Deng Patrick Mehlitz Uwe Prüfert |
Optimal Control Problems with Control Complementarity Constraints | 4, 6 | 10/2018 | [pdf], [bib] |

SPP1962-082 |
Stephan Dempe Patrick Mehlitz |
Semivectorial Bilevel Programming versus Scalar Bilevel Programming | 6 | 10/2018 | [pdf], [bib] |

SPP1962-066 |
Stephan Dempe Felix Harder Patrick Mehlitz Gerd Wachsmuth |
Solving Inverse Optimal Control Problems via Value Functions to Global Optimality | 6 | 07/2018 | [pdf], [bib] published |

SPP1962-057 |
Anne-Therese Rauls Gerd Wachsmuth |
Generalized Derivatives for the Solution Operator of the Obstacle Problem | 6, 23 | 06/2018 | [pdf], [bib] published |

SPP1962-054 |
Marc Herrmann Roland Herzog Stephan Schmidt Josè Vidal Gerd Wachsmuth |
Discrete Total Variation with Finite Elements and Applications to Imaging | 6, 8 | 04/2018 | [pdf], [bib] published |

SPP1962-053 |
Yu Deng Patrick Mehlitz Uwe Prüfert |
Optimal Control in First-order Sobolev Spaces with Inequality Constraints | 6 | 04/2018 | [pdf], [bib] published |

SPP1962-050 |
Yu Deng Patrick Mehlitz Uwe Prüfert |
On an Optimal Control Problem with Gradient Constraints | 6 | 02/2018 | [pdf], [bib] |

SPP1962-048 |
Felix Harder Gerd Wachsmuth |
Optimality Conditions for a Class of Inverse Optimal Control Problems With Partial Differential Equations | 6 | 01/2018 | [pdf], [bib] published |

SPP1962-039 |
Constantin Christof Gerd Wachsmuth |
Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators | 6, 16 | 11/2017 | [pdf], [bib] published |

SPP1962-031 |
Constantin Christof Gerd Wachsmuth |
On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces | 6, 16 | 08/2017 | [pdf], [bib] published |

SPP1962-030 |
Felix Harder |
Legendre Forms in Reflexive Banach Spaces | 6 | 08/2017 | [pdf], [bib] published |

SPP1962-029 |
Felix Harder Gerd Wachsmuth |
Comparison of Optimality Systems for the Optimal Control of the Obstacle Problem | 6 | 08/2017 | [pdf], [bib] published |

SPP1962-026 |
Constantin Christof Gerd Wachsmuth |
No-Gap Second-Order Conditions via a Directional Curvature Functional | 6, 16 | 07/2017 | [pdf], [bib] published |

SPP1962-025 |
Patrick Mehlitz |
On the Sequential Normal Compactness Condition and its Restrictiveness in Selected Function Spaces | 6 | 06/2017 | [pdf], [bib] published |

SPP1962-023 |
Felix Harder Gerd Wachsmuth |
The Limiting Normal Cone of a Complementarity Set in Sobolev Spaces | 6 | 06/2017 | [pdf], [bib] published |

SPP1962-016 |
Patrick Mehlitz Gerd Wachsmuth |
The Weak Sequential Closure of Decomposable Sets in Lebesgue Spaces and its Application to Variational Geometry | 6 | 04/2017 | [pdf], [bib] published |

SPP1962-004 |
Patrick Mehlitz Gerd Wachsmuth |
The Limiting Normal Cone to Pointwise Defined Sets in Lebesgue Spaces | 6 | 12/2016 | [pdf], [bib] published |

SPP1962-001 |
Ulisse Stefanelli Daniel Wachsmuth Gerd Wachsmuth |
Optimal control of a rate-independent evolution equation via viscous regularization | 6 | 11/2016 | [pdf], [bib] published |

SPP1962-085 |
Stefano Almi Sandro Belz |
Consistent Finite-dimensional Approximation of Phase-field Models of Fracture | 7 | 10/2018 | [pdf], [bib] |

SPP1962-072 |
Ilaria Lucardesi Marco Morandotti Riccardo Scala Davide Zucco |
Confinement of Dislocations Inside a Crystal with a Prescribed External Strain | 7 | 09/2018 | [pdf], [bib] |

SPP1962-073 |
Luigi Ambrosio Massimo Fornasier Marco Morandotti Giuseppe Savaré |
Spatially Inhomogeneous Evolutionary Games | 7 | 09/2018 | [pdf], [bib] |

SPP1962-074 |
Patrick Van Marco Morandotti |
Discrete-to-Continuum Limits of Particles with an Annihilation Rule | 7 | 09/2018 | [pdf], [bib] |

SPP1962-075 |
Ilaria Lucardesi Marco Morandotti Riccardo Scala Davide Zucco |
Upscaling of Screw Dislocations with Increasing Tangential Strain | 7 | 09/2018 | [pdf], [bib] |

SPP1962-076 |
Marco Bonacini Elisa Davoli Marco Morandotti |
Analysis of a Perturbed Cahn-Hilliard Model for Langmuir-Blodgett Films | 7 | 09/2018 | [pdf], [bib] |

SPP1962-106 |
Ronny Bergmann Marc Herrmann Roland Herzog Stephan Schmidt Josè Vidal |
Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems | 8 | 03/2019 | [pdf], [bib] |

SPP1962-088 |
Tommy Etling Roland Herzog Estefanía Loayza Gerd Wachsmuth |
First and Second Order Shape Optimization Based on Restricted Mesh Deformations | 6, 8 | 10/2018 | [pdf], [bib] |

SPP1962-054 |
Marc Herrmann Roland Herzog Stephan Schmidt Josè Vidal Gerd Wachsmuth |
Discrete Total Variation with Finite Elements and Applications to Imaging | 6, 8 | 04/2018 | [pdf], [bib] published |

SPP1962-052 |
Ronny Bergmann Roland Herzog |
Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds | 8 | 04/2018 | [pdf], [bib] |

SPP1962-019 |
Marc Herrmann Roland Herzog Heiko Kröner Stephan Schmidt Josè Vidal |
Analysis and an Interior Point Approach for TV Image Reconstruction Problems on Smooth Surfaces | 8 | 04/2017 | [pdf], [bib] published |

SPP1962-115 |
Christian Meyer Michael Sievers |
A-Priori Error Analysis of Local Incremental Minimization Schemes for Rate-independent Evolutions | 9 | 07/2019 | [pdf], [bib] |

SPP1962-063 |
Dorothee Knees |
Convergence Analysis of Time-Discretisation Schemes for Rate-Independent Systems | 9 | 07/2018 | [pdf], [bib] |

SPP1962-046 |
Christian Meyer Michael Sievers |
Finite Element Discretization of Local Minimization Schemes for Rate-Independent Evolutions | 9 | 12/2017 | [pdf], [bib] |

SPP1962-044 |
Roland Herzog Ailyn Stötzner |
Hadamard Differentiability of the Solution Map in Thermoviscoplasticity | 9 | 11/2017 | [pdf], [bib] |

SPP1962-018 |
Dorothee Knees Riccarda Rossi Chiara Zanini |
Balanced Viscosity Solutions to a Rate-Independent System for Damage | 9 | 04/2017 | [pdf], [bib] |

SPP1962-155 |
Deborah B. Gahururu Michael Hintermüller Thomas M. Surowiec |
Risk-Neutral PDE-Constrained Generalized Nash Equilibrium Problems | 10 | 02/2021 | [pdf], [bib] |

SPP1962-131 |
Mario Hoffhues Werner Römisch Thomas M. Surowiec |
On Quantitative Stability in Infinite-Dimensional Optimization under Uncertainty | 10 | 01/2020 | [pdf], [bib] |

SPP1962-111 |
Sebastian Garreis Thomas M. Surowiec Michael Ulbrich |
An Interior-Point Approach for Solving Risk-Averse PDE-Constrained Optimization Problems with Coherent Risk Measures | 10, 23 | 04/2019 | [pdf], [bib] |

SPP1962-112 |
Patrick E. Farrell Matteo Croci Thomas M. Surowiec |
Deflation for Semismooth Equations | 10 | 04/2019 | [pdf], [bib] published |

SPP1962-005 |
Michael Hintermüller Carlos N. Rautenberg Simon Rösel |
Density of Convex Intersections and Applications | 10, 11, 13 | 01/2017 | [pdf], [bib] published |

SPP1962-107r
( revised) |
Amal Alphonse Michael Hintermüller Carlos N. |
Stability of the solution set of quasi-variational inequalities and optimal control | 11 | 08/2020 | [pdf], [bib] published |

SPP1962-114r
( revised) |
Amal Alphonse Michael Hintermüller Carlos N. Rautenberg |
Existence, Iteration Procedures and Directional Differentiability for Parabolic QVIs | 11 | 05/2020 | [pdf], [bib] published |

SPP1962-049r
( revised) |
Amal Alphonse Michael Hintermüller Carlos N. Rautenberg |
Directional Differentiability for Elliptic Quasi-variational Inequalities of Obstacle Type | 11 | 11/2019 | [pdf], [bib] |

SPP1962-071 |
Amal Alphonse Michael Hintermüller Carlos N. Rautenberg |
Recent Trends and Views on Elliptic Quasi-variational Inequalities | 11 | 09/2018 | [pdf], [bib] published |

SPP1962-036 |
Michael Hintermüller Carlos N. Rautenberg Nikolai Strogies |
Dissipative and Non-Dissipative Evolutionary Quasi-Variational Inequalities With Gradient Constraints | 11 | 10/2017 | [pdf], [bib] published |

SPP1962-006 |
Michael Hintermüller Simon Rösel |
Duality Results and Regularization Schemes for Prandtl-Reuss Perfect Plasticity | 11 | 02/2017 | [pdf], [bib] published |

SPP1962-005 |
Michael Hintermüller Carlos N. Rautenberg Simon Rösel |
Density of Convex Intersections and Applications | 10, 11, 13 | 01/2017 | [pdf], [bib] published |

SPP1962-096 |
Carmen Gräßle Michael Hinze Jens Lang Sebastian Ullmann |
POD Model Order Reduction with Space-adapted Snapshots for Incompressible Flows | 13 | 10/2018 | [pdf], [bib] |

SPP1962-095 |
Ahmad Ali Klaus Deckelnick Michael Hinze |
Global Minima for Optimal Control of the Obstacle Problem | 13 | 10/2018 | [pdf], [bib] |

SPP1962-092 |
Carmen Gräßle Michael Hinze Nicolas Scharmacher |
POD for Optimal Control of the Cahn-Hilliard System using Spatially Adapted Snapshots | 13 | 10/2018 | [pdf], [bib] |

SPP1962-058 |
Harald Garcke Michael Hinze Christian Kahle |
Optimal Control of Time-Discrete Two-Phase Flow Driven by a Diffuse-Interface Model | 13 | 06/2018 | [pdf], [bib] published |

SPP1962-059 |
Harald Garcke Michael Hinze Christian Kahle Kei Fong Lam |
A Phase Field Approach to Shape Optimization in Navier--Stokes Flow with Integral State Constraints | 13 | 06/2018 | [pdf], [bib] published |

SPP1962-060 |
Harald Garcke Claudia Hecht Michael Hinze Christian Kahle Kei Fong Lam |
Shape Optimization for Surface Functionals in Navier--Stokes Flow using a Phase Field Approach | 13 | 06/2018 | [pdf], [bib] |

SPP1962-061 |
Carmen Gräßle Michael Hinze |
The Combination of POD Model Reduction with Adaptive Finite Element Methods in the Context of Phase Field Models | 13 | 06/2018 | [pdf], [bib] published |

SPP1962-010 |
Carmen Gräßle Michael Hinze |
POD Reduced Order Modeling for Evolution Equations Utilizing Arbitrary Finite Element Discretizations | 13 | 03/2017 | [pdf], [bib] published |

SPP1962-011 |
Michael Hintermüller Michael Hinze Christian Kahle Tobias Keil |
A Goal-Oriented Dual-Weighted Adaptive Finite Element Approach for the Optimal Control of a Nonsmooth Cahn-Hilliard-Navier-Stokes System | 13 | 03/2017 | [pdf], [bib] published |

SPP1962-005 |
Michael Hintermüller Carlos N. Rautenberg Simon Rösel |
Density of Convex Intersections and Applications | 10, 11, 13 | 01/2017 | [pdf], [bib] published |

SPP1962-100 |
Christian Kanzow Daniel Steck |
Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods | 14 | 12/2018 | [pdf], [bib] |

SPP1962-094 |
Tobias Geiger Daniel Wachsmuth Gerd Wachsmuth |
Optimal Control of ODEs with State Suprema | 6, 14 | 10/2018 | [pdf], [bib] |

SPP1962-087 |
Veronika Karl Ira Neitzel Daniel Wachsmuth |
A Lagrange Multiplier Method for Semilinear Elliptic State Constrained Optimal Control Problems | 14, 17 | 10/2018 | [pdf], [bib] |

SPP1962-040 |
Christian Kanzow Daniel Steck |
Improved Local Convergence Results for Augmented Lagrangian Methods in $C^2$-Cone Reducible Constrained Optimization | 14 | 11/2017 | [pdf], [bib] published |

SPP1962-034 |
Christian Kanzow Daniel Steck |
On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces | 14 | 09/2017 | [pdf], [bib] published |

SPP1962-028 |
Christian Kanzow Daniel Steck Veronika Karl Daniel Wachsmuth |
The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces | 14 | 07/2017 | [pdf], [bib] |

SPP1962-027 |
Veronika Karl Frank Pörner |
An Augmented Lagrange Method for Ill-Posed Elliptic State Constrained Optimal Control Problems with Sparse Controls | 14 | 07/2017 | [pdf], [bib] |

SPP1962-013 |
Christian Kanzow Daniel Steck |
An Example Comparing the Standard and Modified Augmented Lagrangian Methods | 14 | 03/2017 | [pdf], [bib] published |

SPP1962-008 |
Veronika Karl Daniel Wachsmuth |
An Augmented Lagrange Method for Elliptic State Constrained Optimal Control Problems | 14 | 02/2017 | [pdf], [bib] published |

SPP1962-002 |
Christian Kanzow Daniel Steck |
A Generalized Proximal-Point Method for Convex Optimization Problems in Hilbert Spaces | 14 | 12/2016 | [pdf], [bib] published |

SPP1962-003 |
Christian Kanzow Daniel Steck Daniel Wachsmuth |
An Augmented Lagrangian Method for Optimization Problems in Banach Spaces | 14 | 12/2016 | [pdf], [bib] published |

SPP1962-079r
( revised) |
Paul Manns Christian Kirches |
Improved Regularity Assumptions for Partial Outer Convexification of Mixed-Integer PDE-Constrained Optimization Problems | 15 | 09/2020 | [pdf], [bib] published |

SPP1962-080r
( revised) |
Paul Manns Christian Kirches |
Multi-dimensional Sum-up Rounding for Elliptic Control Systems | 15 | 04/2020 | [pdf], [bib] published |

SPP1962-077r
( revised) |
Paul Manns Christian Kirches Felix Lenders |
A Linear Bound on the Integrality Gap for Sum-up Rounding in the Presence of Vanishing Constraints | 15 | 04/2020 | [pdf], [bib] published |

SPP1962-078r
( revised) |
Lisa C. Hegerhorst-Schultchen Christian Kirches Marc C. Steinbach |
On the Relation between MPECs and Optimization Problems in Abs-normal Form | 15 | 03/2019 | [pdf], [bib] published |

SPP1962-099 |
Constantin Christof |
Gradient-based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Non-smooth Lower Level | 16 | 11/2018 | [pdf], [bib] |

SPP1962-055 |
Constantin Christof |
Sensitivity Analysis and Optimal Control of Obstacle-type Evolution Variational Inequalities | 16 | 04/2018 | [pdf], [bib] published |

SPP1962-051 |
Constantin Christof Juan Carlos de los Reyes Christian Meyer |
A Non-smooth Trust-region Method for Locally Lipschitz Functions with Application to Optimization Problems Constrained by Variational Inequalities | 16 | 02/2018 | [pdf], [bib] |

SPP1962-039 |
Constantin Christof Gerd Wachsmuth |
Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators | 6, 16 | 11/2017 | [pdf], [bib] published |

SPP1962-031 |
Constantin Christof Gerd Wachsmuth |
On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces | 6, 16 | 08/2017 | [pdf], [bib] published |

SPP1962-026 |
Constantin Christof Gerd Wachsmuth |
No-Gap Second-Order Conditions via a Directional Curvature Functional | 6, 16 | 07/2017 | [pdf], [bib] published |

SPP1962-020 |
Constantin Christof Christian Clason Christian Meyer Stephan Walther |
Optimal Control of a Non-smooth Semilinear Elliptic Equation | 4, 16 | 05/2017 | [pdf], [bib] published |

SPP1962-012 |
Constantin Christof Christian Meyer |
Sensitivity Analysis for a Class of $H^1_0$-Elliptic Variational Inequalities of the Second Kind | 16 | 03/2017 | [pdf], [bib] published |

SPP1962-108 |
Bernhard Endtmayer Ulrich Langer Ira Neitzel Thomas Wick Winnifried Wollner |
Multigoal-oriented Optimal Control Problems with Nonlinear PDE Constraints | 17 | 03/2019 | [pdf], [bib] |

SPP1962-091 |
Ira Neitzel Thomas Wick Winnifried Wollner |
An Optimal Control Problem Governed by a Regularized Phase-field Fracture Propagation Model. Part II The Regularization Limit | 17 | 10/2018 | [pdf], [bib] |

SPP1962-090 |
Masoumeh Mohammadi Winnifried Wollner |
A Priori Error Estimates for a Linearized Fracture Control Problem | 17 | 10/2018 | [pdf], [bib] |

SPP1962-087 |
Veronika Karl Ira Neitzel Daniel Wachsmuth |
A Lagrange Multiplier Method for Semilinear Elliptic State Constrained Optimal Control Problems | 14, 17 | 10/2018 | [pdf], [bib] |

SPP1962-047 |
Robert Haller-Dintelmann Hannes Meinlschmidt Winnifried Wollner |
Higher Regularity for Solutions to Elliptic Systems in Divergence Form Subject to Mixed Boundary Conditions | 17 | 01/2018 | [pdf], [bib] published |

SPP1962-097 |
Anton Schiela Matthias Stöcklein |
Optimal Control of Static Contact in Finite Strain Elasticity | 18 | 10/2018 | [pdf], [bib] |

SPP1962-098 |
Manuel Schaller Anton Schiela Matthias Stöcklein |
A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization | 18 | 10/2018 | [pdf], [bib] |

SPP1962-093r
( revised) |
Olga Weiß Stephan Schmidt Andrea Walther |
Solving Non-Smooth Semi-Linear Optimal Control Problems with Abs-Linearization | 19 | 04/2020 | [pdf], [bib] |

SPP1962-103r
( revised) |
Andrea Walther Olga Ebel Andreas Griewank Stephan Schmidt |
Nonsmooth Optimization by Successive Abs-Linearisation in Function Spaces | 19 | 12/2019 | [pdf], [bib] published |

SPP1962-086 |
Andreas Griewank Andrea Walther |
Beyond the Oracle: Opportunities of Piecewise Differentiation | 19 | 10/2018 | [pdf], [bib] |

SPP1962-041 |
Andreas Griewank Andrea Walther |
Relaxing Kink Qualifications and Proving Convergence Rates in Piecewise Smooth Optimization | 19 | 11/2017 | [pdf], [bib] published |

SPP1962-038 |
Andrea Walther Andreas Griewank |
Characterizing and Testing Subdifferential Regularity for Piecewise Smooth Objective Functions | 19 | 11/2017 | [pdf], [bib] |

SPP1962-009 |
Sabrina Fiege Andreas Griewank Kshitij Kulshreshtha Andrea Walther |
Algorithmic Differentiation for Piecewise Smooth Functions: A Case Study for Robust Optimization | 19 | 03/2017 | [pdf], [bib] published |

SPP1962-007 |
Sabrina Fiege Andreas Griewank Andrea Walther |
An Algorithm for Nonsmooth Optimization by Successive Piecewise Linearization | 19 | 02/2017 | [pdf], [bib] published |

SPP1962-070r
( revised) |
Michael Herty Sonja Steffensen Anna Thünen |
Solving Quadratic Multi-Leader-Follower Games by Smoothing the Follower's Best Response | 21 | 02/2019 | [pdf], [bib] |

SPP1962-104 |
Bernhard Kober Gerhard Starke |
Strong vs. Weak Symmetry in Stress-based Mixed Finite Element Methods for Linear Elasticity | 22 | 02/2019 | [pdf], [bib] |

SPP1962-105 |
Gabriele Rovi Bernhard Kober Gerhard Starke Rolf Krause |
Monotone Multilevel for FOSLS Linear Elastic Contact | 22 | 02/2019 | [pdf], [bib] |

SPP1962-111 |
Sebastian Garreis Thomas M. Surowiec Michael Ulbrich |
An Interior-Point Approach for Solving Risk-Averse PDE-Constrained Optimization Problems with Coherent Risk Measures | 10, 23 | 04/2019 | [pdf], [bib] |

SPP1962-084 |
Lukas Hertlein Michael Ulbrich |
An Inexact Bundle Algorithm for Nonconvex Nondifferentiable Functions in Hilbert Space | 23 | 10/2018 | [pdf], [bib] |

SPP1962-057 |
Anne-Therese Rauls Gerd Wachsmuth |
Generalized Derivatives for the Solution Operator of the Obstacle Problem | 6, 23 | 06/2018 | [pdf], [bib] published |

SPP1962-056 |
Anne-Therese Rauls Stefan Ulbrich |
Subgradient Computation for the Solution Operator of the Obstacle Problem | 23 | 05/2018 | [pdf], [bib] published |

SPP1962-116 |
Livia Betz |
Vanishing Viscosity Solutions to a Rate-Independent Two-Field Gradient Damage Model | 24 | 08/2019 | [pdf], [bib] |

SPP1962-083r
( revised) |
Livia Betz |
Strong Stationarity for Optimal Control of a Non-smooth Coupled System: Application to a Viscous Evolutionary VI Coupled with an Elliptic PDE | 24 | 08/2019 | [pdf], [bib] |

SPP1962-062r
( revised) |
Livia Betz |
Second-Order Sufficient Optimality Conditions for Optimal Control of Non-Smooth, Semilinear Parabolic Equations | 24 | 01/2019 | [pdf], [bib] |

SPP1962-102 |
Yifeng Xu Irwin Yousept Jun Zou |
An Adaptive Edge Element Approximation of a Quasilinear H(curl)-Elliptic Problem | 24 | 12/2018 | [pdf], [bib] |

SPP1962-064r
( revised) |
De-Han Chen Irwin Yousept |
Variational Source Condition for Ill-posed Backward Nonlinear Maxwell’s Equations | 24 | 11/2018 | [pdf], [bib] published |

SPP1962-069 |
Irwin Yousept |
Hyperbolic Maxwell Variational Inequalities of the Second Kind | 24 | 08/2018 | [pdf], [bib] |

SPP1962-068 |
Livia Betz Irwin Yousept |
Optimal Control of Elliptic Variational Inequalities with Bounded and Unbounded Operators | 24 | 08/2018 | [pdf], [bib] published |

SPP1962-067 |
Livia Susu |
Optimal Control of a Viscous Two-Field Gradient Damage Model | 24 | 07/2018 | [pdf], [bib] published |

SPP1962-065 |
Malte Winckler Irwin Yousept |
Fully Discrete Scheme for Bean's Critical-State Model with Temperature Effects in Superconductivity | 24 | 07/2018 | [pdf], [bib] published |

SPP1962-042 |
Irwin Yousept Jun Zou |
Edge Element Method for Optimal Control of Stationary Maxwell System With Gauss' Law | 24 | 11/2017 | [pdf], [bib] published |

SPP1962-021 |
Irwin Yousept |
Optimal Control of Non-smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity | 24 | 06/2017 | [pdf], [bib] published |

SPP1962-022 |
Irwin Yousept |
Hyperbolic Maxwell Variational Inequalities for Bean’s Critical-state Model in Type-II Superconductivity | 24 | 06/2017 | [pdf], [bib] published |

Sören Bartels, Gerd Wachsmuth: Numerical Approximation of Optimal Convex Shapes (SPP1962-089, 10/2018, [bib])

Sören Bartels, Lars Diening, Ricardo Nochetto: Unconditional Stability of Semi-Implicit Discretizations of Singular Flows (SPP1962-045, 11/2017, [bib],published)

Sören Bartels, Patrick Schön: Adaptive Approximation of the Monge--Kantorovich Problem via Primal-Dual Gap Estimates (SPP1962-037, 10/2017, [bib],published)

Sören Bartels, Stephan Hertzog: Error Bounds for Discretized Optimal Transport and its Reliable Efficient Numerical Solution (SPP1962-035, 10/2017, [bib])

Sören Bartels, Giuseppe Buttazzo: Numerical Solution of a Nonlinear Eigenvalue Problem Arising in Optimal Insulation (SPP1962-032, 08/2017, [bib])

Raul Borsche, Axel Klar: Kinetic Layers and Coupling Conditions for Macroscopic Equations on Networks I: The Wave Equation (SPP1962-033, 08/2017, [bib])

Christian Kirches, Ekaterina Kostina, Andreas Meyer, Matthias Schlöder: Numerical Solution of Optimal Control Problems with Switches, Switching Costs and Jumps (SPP1962-109, 03/2019, [bib])

Christian Clason, Vu Huu: Bouligand--Levenberg--Marquardt Iteration for a Non-smooth Ill-posed Inverse Problem (SPP1962-119, 09/2019, [bib],published)

Christian Clason, Vu Huu Nhu: Bouligand–-Landweber Iteration for a Non-smooth Ill-posed Problem (SPP1962-110, 03/2019, [bib])

Christian Clason, Vu Huu Nhu, Arnd Rösch: Optimal Control of a Non-smooth Quasilinear Elliptic Equation (SPP1962-101, 12/2018, [bib])

Christian Clason, Yu Deng, Patrick Mehlitz, Uwe Prüfert: Optimal Control Problems with Control Complementarity Constraints (SPP1962-081, 10/2018, [bib])

Constantin Christof, Christian Clason, Christian Meyer, Stephan Walther: Optimal Control of a Non-smooth Semilinear Elliptic Equation (SPP1962-020, 05/2017, [bib],published)

Stefan Banholzer, Stefan Volkwein: Hierarchical Convex Multiobjective Optimization by the Euclidean Reference Point Method (SPP1962-117, 08/2019, [bib])

Stefan Banholzer, Eugen Makarov, Stefan Volkwein: POD-Based Multiobjective Optimal Control of Time-Variant Heat Phenomena (SPP1962-043, 11/2017, [bib],published)

Dennis Beermann, Michael Dellnitz, Sebastian Peitz, Stefan Volkwein: POD-Based Multiobjective Optimal Control of PDEs with Non-smooth Objectives (SPP1962-024, 06/2017, [bib],published)

Dennis Beermann, Michael Dellnitz, Sebastian Peitz, Stefan Volkwein: Set-Oriented Multiobjective Optimal Control of PDEs using Proper Orthogonal Decomposition (SPP1962-017, 04/2017, [bib],published)

Stefan Banholzer, Dennis Beermann, Stefan Volkwein: POD-Based Bicriterial Optimal Control by the Reference Point Method (SPP1962-014, 04/2017, [bib],published)

Stefan Banholzer, Dennis Beermann, Stefan Volkwein: POD-Based Error Control for Reduced-Order Bicriterial PDE-Constrained Optimization (SPP1962-015, 04/2017, [bib],published)

Gerd Wachsmuth: Elliptic Quasi-Variational Inequalities under a Smallness Assumption: Uniqueness, Differential Stability and Optimal Control (SPP1962-118, 09/2019, [bib])

Constantin Christof, Gerd Wachsmuth: On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem (SPP1962-113, 06/2019, [bib])

Tobias Geiger, Daniel Wachsmuth, Gerd Wachsmuth: Optimal Control of ODEs with State Suprema (SPP1962-094, 10/2018, [bib])

Sören Bartels, Gerd Wachsmuth: Numerical Approximation of Optimal Convex Shapes (SPP1962-089, 10/2018, [bib])

Tommy Etling, Roland Herzog, Estefanía Loayza, Gerd Wachsmuth: First and Second Order Shape Optimization Based on Restricted Mesh Deformations (SPP1962-088, 10/2018, [bib])

Christian Clason, Yu Deng, Patrick Mehlitz, Uwe Prüfert: Optimal Control Problems with Control Complementarity Constraints (SPP1962-081, 10/2018, [bib])

Stephan Dempe, Patrick Mehlitz: Semivectorial Bilevel Programming versus Scalar Bilevel Programming (SPP1962-082, 10/2018, [bib])

Stephan Dempe, Felix Harder, Patrick Mehlitz, Gerd Wachsmuth: Solving Inverse Optimal Control Problems via Value Functions to Global Optimality (SPP1962-066, 07/2018, [bib],published)

Anne-Therese Rauls, Gerd Wachsmuth: Generalized Derivatives for the Solution Operator of the Obstacle Problem (SPP1962-057, 06/2018, [bib],published)

Marc Herrmann, Roland Herzog, Stephan Schmidt, Josè Vidal, Gerd Wachsmuth: Discrete Total Variation with Finite Elements and Applications to Imaging (SPP1962-054, 04/2018, [bib],published)

Yu Deng, Patrick Mehlitz, Uwe Prüfert: Optimal Control in First-order Sobolev Spaces with Inequality Constraints (SPP1962-053, 04/2018, [bib],published)

Yu Deng, Patrick Mehlitz, Uwe Prüfert: On an Optimal Control Problem with Gradient Constraints (SPP1962-050, 02/2018, [bib])

Felix Harder, Gerd Wachsmuth: Optimality Conditions for a Class of Inverse Optimal Control Problems With Partial Differential Equations (SPP1962-048, 01/2018, [bib],published)

Constantin Christof, Gerd Wachsmuth: Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators (SPP1962-039, 11/2017, [bib],published)

Constantin Christof, Gerd Wachsmuth: On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces (SPP1962-031, 08/2017, [bib],published)

Felix Harder: Legendre Forms in Reflexive Banach Spaces (SPP1962-030, 08/2017, [bib],published)

Felix Harder, Gerd Wachsmuth: Comparison of Optimality Systems for the Optimal Control of the Obstacle Problem (SPP1962-029, 08/2017, [bib],published)

Constantin Christof, Gerd Wachsmuth: No-Gap Second-Order Conditions via a Directional Curvature Functional (SPP1962-026, 07/2017, [bib],published)

Patrick Mehlitz: On the Sequential Normal Compactness Condition and its Restrictiveness in Selected Function Spaces (SPP1962-025, 06/2017, [bib],published)

Felix Harder, Gerd Wachsmuth: The Limiting Normal Cone of a Complementarity Set in Sobolev Spaces (SPP1962-023, 06/2017, [bib],published)

Patrick Mehlitz, Gerd Wachsmuth: The Weak Sequential Closure of Decomposable Sets in Lebesgue Spaces and its Application to Variational Geometry (SPP1962-016, 04/2017, [bib],published)

Patrick Mehlitz, Gerd Wachsmuth: The Limiting Normal Cone to Pointwise Defined Sets in Lebesgue Spaces (SPP1962-004, 12/2016, [bib],published)

Ulisse Stefanelli, Daniel Wachsmuth, Gerd Wachsmuth: Optimal control of a rate-independent evolution equation via viscous regularization (SPP1962-001, 11/2016, [bib],published)

Stefano Almi, Sandro Belz: Consistent Finite-dimensional Approximation of Phase-field Models of Fracture (SPP1962-085, 10/2018, [bib])

Ilaria Lucardesi, Marco Morandotti, Riccardo Scala, Davide Zucco: Confinement of Dislocations Inside a Crystal with a Prescribed External Strain (SPP1962-072, 09/2018, [bib])

Luigi Ambrosio, Massimo Fornasier, Marco Morandotti, Giuseppe Savaré: Spatially Inhomogeneous Evolutionary Games (SPP1962-073, 09/2018, [bib])

Patrick Van, Marco Morandotti: Discrete-to-Continuum Limits of Particles with an Annihilation Rule (SPP1962-074, 09/2018, [bib])

Ilaria Lucardesi, Marco Morandotti, Riccardo Scala, Davide Zucco: Upscaling of Screw Dislocations with Increasing Tangential Strain (SPP1962-075, 09/2018, [bib])

Marco Bonacini, Elisa Davoli, Marco Morandotti: Analysis of a Perturbed Cahn-Hilliard Model for Langmuir-Blodgett Films (SPP1962-076, 09/2018, [bib])

Ronny Bergmann, Marc Herrmann, Roland Herzog, Stephan Schmidt, Josè Vidal: Total Variation of the Normal Vector Field as Shape Prior with Applications in Geometric Inverse Problems (SPP1962-106, 03/2019, [bib])

Tommy Etling, Roland Herzog, Estefanía Loayza, Gerd Wachsmuth: First and Second Order Shape Optimization Based on Restricted Mesh Deformations (SPP1962-088, 10/2018, [bib])

Marc Herrmann, Roland Herzog, Stephan Schmidt, Josè Vidal, Gerd Wachsmuth: Discrete Total Variation with Finite Elements and Applications to Imaging (SPP1962-054, 04/2018, [bib],published)

Ronny Bergmann, Roland Herzog: Intrinsic Formulation of KKT Conditions and Constraint Qualifications on Smooth Manifolds (SPP1962-052, 04/2018, [bib])

Marc Herrmann, Roland Herzog, Heiko Kröner, Stephan Schmidt, Josè Vidal: Analysis and an Interior Point Approach for TV Image Reconstruction Problems on Smooth Surfaces (SPP1962-019, 04/2017, [bib],published)

Christian Meyer, Michael Sievers: A-Priori Error Analysis of Local Incremental Minimization Schemes for Rate-independent Evolutions (SPP1962-115, 07/2019, [bib])

Dorothee Knees: Convergence Analysis of Time-Discretisation Schemes for Rate-Independent Systems (SPP1962-063, 07/2018, [bib])

Christian Meyer, Michael Sievers: Finite Element Discretization of Local Minimization Schemes for Rate-Independent Evolutions (SPP1962-046, 12/2017, [bib])

Roland Herzog, Ailyn Stötzner: Hadamard Differentiability of the Solution Map in Thermoviscoplasticity (SPP1962-044, 11/2017, [bib])

Dorothee Knees, Riccarda Rossi, Chiara Zanini: Balanced Viscosity Solutions to a Rate-Independent System for Damage (SPP1962-018, 04/2017, [bib])

Deborah B. Gahururu, Michael Hintermüller, Thomas M. Surowiec: Risk-Neutral PDE-Constrained Generalized Nash Equilibrium Problems (SPP1962-155, 02/2021, [bib])

Mario Hoffhues, Werner Römisch, Thomas M. Surowiec: On Quantitative Stability in Infinite-Dimensional Optimization under Uncertainty (SPP1962-131, 01/2020, [bib])

Sebastian Garreis, Thomas M. Surowiec, Michael Ulbrich: An Interior-Point Approach for Solving Risk-Averse PDE-Constrained Optimization Problems with Coherent Risk Measures (SPP1962-111, 04/2019, [bib])

Patrick E. Farrell, Matteo Croci, Thomas M. Surowiec: Deflation for Semismooth Equations (SPP1962-112, 04/2019, [bib],published)

Michael Hintermüller, Carlos N. Rautenberg, Simon Rösel: Density of Convex Intersections and Applications (SPP1962-005, 01/2017, [bib],published)

Amal Alphonse, Michael Hintermüller, Carlos N.: Stability of the solution set of quasi-variational inequalities and optimal control (SPP1962-107r, 08/2020, [bib],published)

Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg: Existence, Iteration Procedures and Directional Differentiability for Parabolic QVIs (SPP1962-114r, 05/2020, [bib],published)

Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg: Directional Differentiability for Elliptic Quasi-variational Inequalities of Obstacle Type (SPP1962-049r, 11/2019, [bib])

Amal Alphonse, Michael Hintermüller, Carlos N. Rautenberg: Recent Trends and Views on Elliptic Quasi-variational Inequalities (SPP1962-071, 09/2018, [bib],published)

Michael Hintermüller, Carlos N. Rautenberg, Nikolai Strogies: Dissipative and Non-Dissipative Evolutionary Quasi-Variational Inequalities With Gradient Constraints (SPP1962-036, 10/2017, [bib],published)

Michael Hintermüller, Simon Rösel: Duality Results and Regularization Schemes for Prandtl-Reuss Perfect Plasticity (SPP1962-006, 02/2017, [bib],published)

Michael Hintermüller, Carlos N. Rautenberg, Simon Rösel: Density of Convex Intersections and Applications (SPP1962-005, 01/2017, [bib],published)

Carmen Gräßle, Michael Hinze, Jens Lang, Sebastian Ullmann: POD Model Order Reduction with Space-adapted Snapshots for Incompressible Flows (SPP1962-096, 10/2018, [bib])

Ahmad Ali, Klaus Deckelnick, Michael Hinze: Global Minima for Optimal Control of the Obstacle Problem (SPP1962-095, 10/2018, [bib])

Carmen Gräßle, Michael Hinze, Nicolas Scharmacher: POD for Optimal Control of the Cahn-Hilliard System using Spatially Adapted Snapshots (SPP1962-092, 10/2018, [bib])

Harald Garcke, Michael Hinze, Christian Kahle: Optimal Control of Time-Discrete Two-Phase Flow Driven by a Diffuse-Interface Model (SPP1962-058, 06/2018, [bib],published)

Harald Garcke, Michael Hinze, Christian Kahle, Kei Fong Lam: A Phase Field Approach to Shape Optimization in Navier--Stokes Flow with Integral State Constraints (SPP1962-059, 06/2018, [bib],published)

Harald Garcke, Claudia Hecht, Michael Hinze, Christian Kahle, Kei Fong Lam: Shape Optimization for Surface Functionals in Navier--Stokes Flow using a Phase Field Approach (SPP1962-060, 06/2018, [bib])

Carmen Gräßle, Michael Hinze: The Combination of POD Model Reduction with Adaptive Finite Element Methods in the Context of Phase Field Models (SPP1962-061, 06/2018, [bib],published)

Carmen Gräßle, Michael Hinze: POD Reduced Order Modeling for Evolution Equations Utilizing Arbitrary Finite Element Discretizations (SPP1962-010, 03/2017, [bib],published)

Michael Hintermüller, Michael Hinze, Christian Kahle, Tobias Keil: A Goal-Oriented Dual-Weighted Adaptive Finite Element Approach for the Optimal Control of a Nonsmooth Cahn-Hilliard-Navier-Stokes System (SPP1962-011, 03/2017, [bib],published)

Michael Hintermüller, Carlos N. Rautenberg, Simon Rösel: Density of Convex Intersections and Applications (SPP1962-005, 01/2017, [bib],published)

Christian Kanzow, Daniel Steck: Quasi-Variational Inequalities in Banach Spaces: Theory and Augmented Lagrangian Methods (SPP1962-100, 12/2018, [bib])

Tobias Geiger, Daniel Wachsmuth, Gerd Wachsmuth: Optimal Control of ODEs with State Suprema (SPP1962-094, 10/2018, [bib])

Veronika Karl, Ira Neitzel, Daniel Wachsmuth: A Lagrange Multiplier Method for Semilinear Elliptic State Constrained Optimal Control Problems (SPP1962-087, 10/2018, [bib])

Christian Kanzow, Daniel Steck: Improved Local Convergence Results for Augmented Lagrangian Methods in $C^2$-Cone Reducible Constrained Optimization (SPP1962-040, 11/2017, [bib],published)

Christian Kanzow, Daniel Steck: On Error Bounds and Multiplier Methods for Variational Problems in Banach Spaces (SPP1962-034, 09/2017, [bib],published)

Christian Kanzow, Daniel Steck, Veronika Karl, Daniel Wachsmuth: The Multiplier-Penalty Method for Generalized Nash Equilibrium Problems in Banach Spaces (SPP1962-028, 07/2017, [bib])

Veronika Karl, Frank Pörner: An Augmented Lagrange Method for Ill-Posed Elliptic State Constrained Optimal Control Problems with Sparse Controls (SPP1962-027, 07/2017, [bib])

Christian Kanzow, Daniel Steck: An Example Comparing the Standard and Modified Augmented Lagrangian Methods (SPP1962-013, 03/2017, [bib],published)

Veronika Karl, Daniel Wachsmuth: An Augmented Lagrange Method for Elliptic State Constrained Optimal Control Problems (SPP1962-008, 02/2017, [bib],published)

Christian Kanzow, Daniel Steck: A Generalized Proximal-Point Method for Convex Optimization Problems in Hilbert Spaces (SPP1962-002, 12/2016, [bib],published)

Christian Kanzow, Daniel Steck, Daniel Wachsmuth: An Augmented Lagrangian Method for Optimization Problems in Banach Spaces (SPP1962-003, 12/2016, [bib],published)

Paul Manns, Christian Kirches: Improved Regularity Assumptions for Partial Outer Convexification of Mixed-Integer PDE-Constrained Optimization Problems (SPP1962-079r, 09/2020, [bib],published)

Paul Manns, Christian Kirches: Multi-dimensional Sum-up Rounding for Elliptic Control Systems (SPP1962-080r, 04/2020, [bib],published)

Paul Manns, Christian Kirches, Felix Lenders: A Linear Bound on the Integrality Gap for Sum-up Rounding in the Presence of Vanishing Constraints (SPP1962-077r, 04/2020, [bib],published)

Lisa C. Hegerhorst-Schultchen, Christian Kirches, Marc C. Steinbach: On the Relation between MPECs and Optimization Problems in Abs-normal Form (SPP1962-078r, 03/2019, [bib],published)

Constantin Christof: Gradient-based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Non-smooth Lower Level (SPP1962-099, 11/2018, [bib])

Constantin Christof: Sensitivity Analysis and Optimal Control of Obstacle-type Evolution Variational Inequalities (SPP1962-055, 04/2018, [bib],published)

Constantin Christof, Juan Carlos de los Reyes, Christian Meyer: A Non-smooth Trust-region Method for Locally Lipschitz Functions with Application to Optimization Problems Constrained by Variational Inequalities (SPP1962-051, 02/2018, [bib])

Constantin Christof, Gerd Wachsmuth: Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators (SPP1962-039, 11/2017, [bib],published)

Constantin Christof, Gerd Wachsmuth: On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces (SPP1962-031, 08/2017, [bib],published)

Constantin Christof, Gerd Wachsmuth: No-Gap Second-Order Conditions via a Directional Curvature Functional (SPP1962-026, 07/2017, [bib],published)

Constantin Christof, Christian Clason, Christian Meyer, Stephan Walther: Optimal Control of a Non-smooth Semilinear Elliptic Equation (SPP1962-020, 05/2017, [bib],published)

Constantin Christof, Christian Meyer: Sensitivity Analysis for a Class of $H^1_0$-Elliptic Variational Inequalities of the Second Kind (SPP1962-012, 03/2017, [bib],published)

Bernhard Endtmayer, Ulrich Langer, Ira Neitzel, Thomas Wick, Winnifried Wollner: Multigoal-oriented Optimal Control Problems with Nonlinear PDE Constraints (SPP1962-108, 03/2019, [bib])

Ira Neitzel, Thomas Wick, Winnifried Wollner: An Optimal Control Problem Governed by a Regularized Phase-field Fracture Propagation Model. Part II The Regularization Limit (SPP1962-091, 10/2018, [bib])

Masoumeh Mohammadi, Winnifried Wollner: A Priori Error Estimates for a Linearized Fracture Control Problem (SPP1962-090, 10/2018, [bib])

Veronika Karl, Ira Neitzel, Daniel Wachsmuth: A Lagrange Multiplier Method for Semilinear Elliptic State Constrained Optimal Control Problems (SPP1962-087, 10/2018, [bib])

Robert Haller-Dintelmann, Hannes Meinlschmidt, Winnifried Wollner: Higher Regularity for Solutions to Elliptic Systems in Divergence Form Subject to Mixed Boundary Conditions (SPP1962-047, 01/2018, [bib],published)

Anton Schiela, Matthias Stöcklein: Optimal Control of Static Contact in Finite Strain Elasticity (SPP1962-097, 10/2018, [bib])

Manuel Schaller, Anton Schiela, Matthias Stöcklein: A Composite Step Method with Inexact Step Computations for PDE Constrained Optimization (SPP1962-098, 10/2018, [bib])

Olga Weiß, Stephan Schmidt, Andrea Walther: Solving Non-Smooth Semi-Linear Optimal Control Problems with Abs-Linearization (SPP1962-093r, 04/2020, [bib])

Andrea Walther, Olga Ebel, Andreas Griewank, Stephan Schmidt: Nonsmooth Optimization by Successive Abs-Linearisation in Function Spaces (SPP1962-103r, 12/2019, [bib],published)

Andreas Griewank, Andrea Walther: Beyond the Oracle: Opportunities of Piecewise Differentiation (SPP1962-086, 10/2018, [bib])

Andreas Griewank, Andrea Walther: Relaxing Kink Qualifications and Proving Convergence Rates in Piecewise Smooth Optimization (SPP1962-041, 11/2017, [bib],published)

Andrea Walther, Andreas Griewank: Characterizing and Testing Subdifferential Regularity for Piecewise Smooth Objective Functions (SPP1962-038, 11/2017, [bib])

Sabrina Fiege, Andreas Griewank, Kshitij Kulshreshtha, Andrea Walther: Algorithmic Differentiation for Piecewise Smooth Functions: A Case Study for Robust Optimization (SPP1962-009, 03/2017, [bib],published)

Sabrina Fiege, Andreas Griewank, Andrea Walther: An Algorithm for Nonsmooth Optimization by Successive Piecewise Linearization (SPP1962-007, 02/2017, [bib],published)

Michael Herty, Sonja Steffensen, Anna Thünen: Solving Quadratic Multi-Leader-Follower Games by Smoothing the Follower's Best Response (SPP1962-070r, 02/2019, [bib])

Bernhard Kober, Gerhard Starke: Strong vs. Weak Symmetry in Stress-based Mixed Finite Element Methods for Linear Elasticity (SPP1962-104, 02/2019, [bib])

Gabriele Rovi, Bernhard Kober, Gerhard Starke, Rolf Krause: Monotone Multilevel for FOSLS Linear Elastic Contact (SPP1962-105, 02/2019, [bib])

Sebastian Garreis, Thomas M. Surowiec, Michael Ulbrich: An Interior-Point Approach for Solving Risk-Averse PDE-Constrained Optimization Problems with Coherent Risk Measures (SPP1962-111, 04/2019, [bib])

Lukas Hertlein, Michael Ulbrich: An Inexact Bundle Algorithm for Nonconvex Nondifferentiable Functions in Hilbert Space (SPP1962-084, 10/2018, [bib])

Anne-Therese Rauls, Gerd Wachsmuth: Generalized Derivatives for the Solution Operator of the Obstacle Problem (SPP1962-057, 06/2018, [bib],published)

Anne-Therese Rauls, Stefan Ulbrich: Subgradient Computation for the Solution Operator of the Obstacle Problem (SPP1962-056, 05/2018, [bib],published)

Livia Betz: Vanishing Viscosity Solutions to a Rate-Independent Two-Field Gradient Damage Model (SPP1962-116, 08/2019, [bib])

Livia Betz: Strong Stationarity for Optimal Control of a Non-smooth Coupled System: Application to a Viscous Evolutionary VI Coupled with an Elliptic PDE (SPP1962-083r, 08/2019, [bib])

Livia Betz: Second-Order Sufficient Optimality Conditions for Optimal Control of Non-Smooth, Semilinear Parabolic Equations (SPP1962-062r, 01/2019, [bib])

Yifeng Xu, Irwin Yousept, Jun Zou: An Adaptive Edge Element Approximation of a Quasilinear H(curl)-Elliptic Problem (SPP1962-102, 12/2018, [bib])

De-Han Chen, Irwin Yousept: Variational Source Condition for Ill-posed Backward Nonlinear Maxwell’s Equations (SPP1962-064r, 11/2018, [bib],published)

Irwin Yousept: Hyperbolic Maxwell Variational Inequalities of the Second Kind (SPP1962-069, 08/2018, [bib])

Livia Betz, Irwin Yousept: Optimal Control of Elliptic Variational Inequalities with Bounded and Unbounded Operators (SPP1962-068, 08/2018, [bib],published)

Livia Susu: Optimal Control of a Viscous Two-Field Gradient Damage Model (SPP1962-067, 07/2018, [bib],published)

Malte Winckler, Irwin Yousept: Fully Discrete Scheme for Bean's Critical-State Model with Temperature Effects in Superconductivity (SPP1962-065, 07/2018, [bib],published)

Irwin Yousept, Jun Zou: Edge Element Method for Optimal Control of Stationary Maxwell System With Gauss' Law (SPP1962-042, 11/2017, [bib],published)

Irwin Yousept: Optimal Control of Non-smooth Hyperbolic Evolution Maxwell Equations in Type-II Superconductivity (SPP1962-021, 06/2017, [bib],published)

Irwin Yousept: Hyperbolic Maxwell Variational Inequalities for Bean’s Critical-state Model in Type-II Superconductivity (SPP1962-022, 06/2017, [bib],published)