Dr. Constantin Christof, AkadR a. Z.


Foto von Constantin Christof

Technische Universität München

Lehrstuhl für Optimalsteuerung (Prof. Vexler)

  • Optimale Steuerung von Partiellen Differentialgleichungen und Variationsungleichungen
  • Nichtglatte Unendlichdimensionale Optimierung 
  • FE-Fehlerabschätzungen für Optimalsteuerprobleme und Variationsungleichungen
  • Sensitivitätsanalyse von Nichtglatten Problemen
  • Kontaktprobleme und nicht-Newtonsche Fluide
  • Neuronale Netze 

Akademische Ausbildung
Mai  2015 - Juli 2018 Dr. rer. nat. (Mathematik), Technische Universität Dortmund 
Okt. 2013 - Juli 2014 MAST (Part III of the Mathematical Tripos), University of Cambridge
Okt. 2012 - April 2015 M.Sc. Mathematik, Technische Universität Dortmund
Okt. 2009 - Sept. 2012 B.Sc. Mathematik, Technische Universität Dortmund 
Okt. 2009 - Sept. 2012 B.Sc. Technomathematik, Technische Universität Dortmund
   
Beruflicher Werdegang
seit Febr. 2023 Akademischer Rat auf Zeit, Technische Universität München (fortgesetzt)
Sept. 2022 - Febr. 2023 W2-Vertretungsprofessur "Angewandte Analysis", Universität Augsburg
Mär. 2021 - Aug. 2022 Akademischer Rat auf Zeit, Technische Universität München
Mär. 2018 - Febr. 2021 Wissenschaftlicher Mitarbeiter, Technische Universität München
Mai 2015 - Febr. 2018 Wissenschaftlicher Mitarbeiter, Technische Universität Dortmund
Okt. 2011 - Sept. 2013 Studentische Hilfskraft, Fakultät für Mathematik, Technische Universität Dortmund
Okt. 2010 - Sept. 2011

Studentische Hilfskraft, Institut für Mechanik, Technische Universität Dortmund

Auszeichnungen
Sept. 2018 Dissertationspreis, Technische Universität Dortmund
Dez. 2015 Jahrgangsbestenauszeichnung (Master), Technische Universität Dortmund
Sept. 2009 Auszeichnung für akademische Exzellenz durch den Ministerpräsidenten Nordrhein-Westphalens

 

Eine Liste früherer Lehrveranstaltungen finden Sie in TUMonline.

2023

  • Prieto Ruiz, Victor Scott: Neural Network Surrogate Models for the Localization of Sources in Semilinear Elliptic PDEs. Masterarbeit, 2023 mehr…

2022

  • Kater, Stefan: Algorithmic Solution of Elliptic Optimal Control Problems with Control Constraints by Means of the Semismooth Newton Method. Masterarbeit, 2022 mehr…
  • Neu, Sebastian: A priori Finite Elemente Fehleranalyse für das skalare Signorini Problem. Masterarbeit, 2022 mehr…

2021

  • Kowalczyk, Julia: Generalisation properties of neural networks in optimal control. Masterarbeit, 2021 mehr…

2020

  • Brandl, Lukas: Adaptive Scalarization Approaches for Multi-Objective Optimization Problems. Bachelorarbeit, 2020 mehr…
  • Buožyte, Donata: Optimal Control of an ODE-System with Control Complementarity Constraints. Bachelorarbeit, 2020 mehr…
  • Löwenberg Casas, Adrián: Optimal-Order A-Priori Error Estimates for the One-Dimensional Signorini Problem. Bachelorarbeit, 2020 mehr…

2019

  • Neu, Sebastian: Simulation of the steady-state motion of a Bingham fluid in a pipe. Bachelorarbeit, 2019 mehr…
  • Seger, Andreas: Switching time optimal control of ODE systems. Bachelorarbeit, 2019 mehr…
  • Spatz, Bastian: Optimal Control of Hutchinson's Equation. Bachelorarbeit, 2019 mehr…

2024

  • Christof, Constantin; Kowalczyk, Julia: On the identification and optimization of nonsmooth superposition operators in semilinear elliptic PDEs. ESAIM: Control, Optimisation and Calculus of Variations 30, 2024, 16 mehr… BibTeX Volltext ( DOI )

2023

  • Brokate, Martin; Christof, Constantin: Strong Stationarity Conditions for Optimal Control Problems Governed by a Rate-Independent Evolution Variational Inequality. SIAM Journal on Control and Optimization 61 (4), 2023, 2222-2250 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Kowalczyk, Julia: On the Omnipresence of Spurious Local Minima in Certain Neural Network Training Problems. Constructive Approximation, 2023 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: Semismoothness for Solution Operators of Obstacle-Type Variational Inequalities with Applications in Optimal Control. SIAM Journal on Control and Optimization 61 (3), 2023, 1162-1186 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: Energy Space Newton Differentiability for Solution Maps of Unilateral and Bilateral Obstacle Problems. , 2023 mehr… BibTeX Volltext ( DOI )

2022

  • Christof, Constantin; Hafemeyer, Dominik: On the nonuniqueness and instability of solutions of tracking-type optimal control problems. Mathematical Control & Related Fields 12 (2), 2022, 421 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-variational Inequalities. SIAM Journal on Control and Optimization 60 (6), 2022, 3430-3456 mehr… BibTeX Volltext ( DOI )

2021

  • Christof, Constantin: On the Stability Properties and the Optimization Landscape of Training Problems with Squared Loss for Neural Networks and General Nonlinear Conic Approximation Schemes. Journal of Machine Learning Research 22 (263), 2021, 1-77 mehr… BibTeX
  • Christof, Constantin; Meyer, Christian; Schweizer, Ben; Turek, Stefan: Strong Stationarity for Optimal Control of Variational Inequalities of the Second Kind. In: International Series of Numerical Mathematics. Springer International Publishing, 2021 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Müller, Georg: Multiobjective optimal control of a non-smooth semilinear elliptic partial differential equation. ESAIM: Control, Optimisation and Calculus of Variations 27, 2021, S13 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Vexler, Boris: New regularity results and finite element error estimates for a class of parabolic optimal control problems with pointwise state constraints. ESAIM: Control, Optimisation and Calculus of Variations 27, 2021, 4 mehr… BibTeX Volltext ( DOI )

2020

  • Christof, Constantin: Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Nonsmooth Lower Level. SIAM Journal on Optimization 30 (1), 2020, 290-318 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; De los Reyes, Juan Carlos; Meyer, Christian: A Nonsmooth Trust-Region Method for Locally Lipschitz Functions with Application to Optimization Problems Constrained by Variational Inequalities. SIAM Journal on Optimization 30 (3), 2020, 2163-2196 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Haubner, Christof: Finite element error estimates in non-energy norms for the two-dimensional scalar Signorini problem. Numerische Mathematik 145 (3), 2020, 513-551 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: On second-order optimality conditions for optimal control problems governed by the obstacle problem. Optimization 70 (10), 2020, 2247-2287 mehr… BibTeX Volltext ( DOI )

2019

  • Christof, Constantin: Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities. SIAM Journal on Control and Optimization 57 (1), 2019, 192-218 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: Differential Sensitivity Analysis of Variational Inequalities with Locally Lipschitz Continuous Solution Operators. Applied Mathematics & Optimization 81 (1), 2019, 23-62 mehr… BibTeX Volltext ( DOI )

2018

  • Christof, Constantin; Meyer, Christian: Sensitivity Analysis for a Class of $H_0^1$ -Elliptic Variational Inequalities of the Second Kind. Set-Valued and Variational Analysis 27 (2), 2018, 469-502 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Meyer, Christian; Walther, Stephan; Clason, Christian: Optimal control of a non-smooth semilinear elliptic equation. Mathematical Control & Related Fields 8 (1), 2018, 247-276 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Müller, Georg: A Note on the Equivalence and the Boundary Behavior of a Class of Sobolev Capacities. GAMM-Mitteilungen 40 (3), 2018, 238-266 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: On the Non-Polyhedricity of Sets with Upper and Lower Bounds in Dual Spaces. GAMM-Mitteilungen 40 (4), 2018, 339-350 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Wachsmuth, Gerd: No-Gap Second-Order Conditions via a Directional Curvature Functional. SIAM Journal on Optimization 28 (3), 2018, 2097-2130 mehr… BibTeX Volltext ( DOI )

2017

  • Christof, Constantin: $L^\infty$-error estimates for the obstacle problem revisited. Calcolo 54 (4), 2017, 1243-1264 mehr… BibTeX Volltext ( DOI )
  • Christof, Constantin; Meyer, Christian: A note on a priori $L^p$-error estimates for the obstacle problem. Numerische Mathematik 139 (1), 2017, 27-45 mehr… BibTeX Volltext ( DOI )

Dissertation (Dr. rer. nat.)
Sensitivity Analysis of Elliptic Variational Inequalities of the First and the Second Kind

Technische Universität Dortmund, 2018

Masterarbeit (Mathematik)
A priori Fehlerabschätzungen für die FE-Diskretisierung klassischer Hindernisprobleme​​
Technische Universität Dortmund, 2015 

Bachelorarbeit (Technomathematik)
Immersed Boundary Methods: Simulation of Flows with Moving Elastic Boundaries and Application to Cardiac Fluid Dynamics

Technische Universität Dortmund, 2012

Bachelorarbeit (Mathematik)
Das Additionstheorem für Jacobi-Polynome

Technische Universität Dortmund, 2012

Vorträge auf Konferenzen

Semismoothness for Solution Operators of Obstacle-type Variational Inequalities with Applications in Optimal Control. Computational Methods in Applied Mathematics (CMAM 2022), Wien, 08/2022.
Semismoothness for Solution Operators of Obstacle-type Variational Inequalities with Applications in Optimal Control. IFIP TC7 System Modeling and Optimization, Warschau, 07/2022.
Analysis and Numerical Solution of a Control Problem Arising in Non-Newtonian Fluid Mechanics. SIAM Conference on Optimization, Spokane, 07/2021.
Analysis and Numerical Solution of a Control Problem Arising in Non-Newtonian Fluid Mechanics. GAMM Jahrestagung, Kassel, 03/2021.
Optimal Control of Stationary and Instationary Rotationally Symmetric Viscoplastic Fluid Flows. DMV Jahrestagung, Chemnitz, 09/2020.
A Priori Error Estimates in Non-Energy Norms and the Aubin-Nitsche Trick for the Two-Dimensional Scalar Signorini Problem. ENUMATH, Egmond aan Zee, 10/2019.
On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Obstacle Problem. FGS, Nizza, 09/2019.
New Regularity Results for a Class of Parabolic Optimal Control Problems with Pointwise State Constraints. ICCOPT, Berlin, 08/2019.
Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Non-Smooth Lower Level. ICIAM, Valencia, 07/2019.
Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Non-Smooth Lower Level. GAMM Jahrestagung, Wien, 02/2019.
Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities. CESVVAM, Marburg, 11/2018.
A Priori Error Estimates in Non-Energy Norms for the Two-Dimensional Scalar Signorini Problem. Chemnitz FEM Symposium, Chemnitz, 09/2018.
On Subdifferentials of PDE Solution Operators. Optimization, Lissabon, 09/2017.
An Approach to the Differential Stability Analysis of Mosolov's Problem. SIAM Conference on Optimization, Vancouver, 05/2017.
Sensitivity Analysis for Elliptic Variational Inequalities of the Second Kind: A Model Problem and Applications in Optimal Control. ICCOPT, Tokyo, 08/2016.
Sensitivity Analysis for Elliptic Variational Inequalities of the Second Kind: A Model Problem and Applications in Optimal Control. Gemeinsame GAMM-DMV-Jahrestagung, Braunschweig, 03/2016.

A Priori Lp-Error Analysis for the Obstacle Problem. Chemnitz FEM Symposium, Burgstädt, 09/2015.

 

Vorträge in Seminaren und auf Workshops

Semismoothness for Solution Operators of Obstacle-type Variational Inequalities with Applications in Optimal Control. Joint Analysis Seminar Augsburg-München, Augsburg, 10/2022.
New Regularity Results and Finite Element Error Estimates for Parabolic Optimal Control Problems with Pointwise State Constraints. Forschungsseminar, München, 12/2020.
New Regularity Results and Finite Element Error Estimates for a Class of Parabolic Optimal Control Problems with Pointwise State Constraints. IGDK1754 Jahreskolloquium, Augsburg, 11/2019.
No-Gap Second-Order Optimality Conditions for Bang-Bang Optimal Control Problems via Second Subderivatives. RICAM Special Semester on Optimization, Linz, 11/2019.
Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities. Spreewald-Workshop on Optimal Control, Vetschau, 09/2019.
New Regularity Results and Finite Element Error Estimates for a Class of Parabolic Optimal Control Problems with Pointwise State Constraints. Forschungsseminar, Chemnitz, 05/2019.
A Priori Error Estimates in Non-Energy Norms and the Aubin-Nitsche Trick for the Two-Dimensional Scalar Signorini Problem. Forschungsseminar, Dortmund, 04/2019.
On Second-Order Optimality Conditions for Optimal Control Problems Governed by the Classical Obstacle Problem. OCIP, München, 03/2019.
Sensitivity Analysis and Optimal Control of Obstacle-Type Evolution Variational Inequalities. Forschungsseminar, Konstanz, 02/2019.
Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Non-Smooth Lower Level. Forschungsseminar, Cottbus, 12/2018.
Gradient-Based Solution Algorithms for a Class of Bilevel Optimization and Optimal Control Problems with a Non-Smooth Lower Level. IGDK1754 Jahreskolloquium, Graz, 11/2018.
P16 - Optimal Control of Variational Inequalities of the Second Kind with Application to Yield Stress Fluids. Jahresstreffen SPP1962, Kremmen, 10/2017.
An Approach to the Differential Stability Analysis of Mosolov’s Problem. Forschungsseminar, Chemnitz, 07/2017.
On Subdifferentials of PDE Solution Operators: A Model Problem and Applications in Optimal Control. OCIP, München, 04/2017.
How to Calculate the Subdifferential of the Solution Operator to a Nonsmooth PDE - A Model Problem and Applications in Optimal Control. Workshop on Variational Analysis and Optimization, Mariànskà, 02/2017.
Sensitivity Analysis for Elliptic Variational Inequalities of the Second Kind: A Model Problem and Applications in Optimal Control. Forschungsseminar, Bayreuth, 09/2016.
Sensitivity Analysis for a Class of Nonsmooth Minimization Problems in Sobolev Spaces. IFIP Workshop: Optimal Control Meets Inverse Problems, Essen, 09/2016.
Sensitivity Analysis for Elliptic Variational Inequalities of the Second Kind: A Model Problem and Applications in Optimal Control. Forschungsseminar, Essen, 02/2016.