Gerd Wachsmuth

Publication Activity (10 Years)

Years Active: 2011-2024
Publications (10 Years): 26

Top Topics

Augmented Lagrangian

Optimal Control

Partial Differential Equations

Top Venues

SIAM J. Control. Optim.

SIAM J. Numer. Anal.

Publications

Alberto Domínguez Corella, Gerd Wachsmuth
Stability and Genericity of Bang-Bang Controls in Affine Problems. SIAM J. Control. Optim. 62 (3) (2024)
Sören Bartels, Hedwig Keller, Gerd Wachsmuth
. CoRR (2023)
Xiaoxi Jia, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth
An augmented Lagrangian method for optimization problems with structured geometric constraints. Math. Program. 199 (1) (2023)
Constantin Christof, Gerd Wachsmuth
Semismoothness for Solution Operators of Obstacle-Type Variational Inequalities with Applications in Optimal Control. SIAM J. Control. Optim. 61 (3) (2023)
Markus Friedemann, Felix Harder, Gerd Wachsmuth
Finding global solutions of some inverse optimal control problems using penalization and semismooth Newton methods. J. Glob. Optim. 86 (4) (2023)
Sören Bartels, Hedwig Keller, Gerd Wachsmuth
Numerical approximation of optimal convex and rotationally symmetric shapes for an eigenvalue problem arising in optimal insulation. Comput. Math. Appl. 119 (2022)
Patrick Mehlitz, Gerd Wachsmuth
Subdifferentiation of Nonconvex Sparsity-Promoting Functionals on Lebesgue Spaces. SIAM J. Control. Optim. 60 (3) (2022)
Constantin Christof, Gerd Wachsmuth
Lipschitz Stability and Hadamard Directional Differentiability for Elliptic and Parabolic Obstacle-Type Quasi-variational Inequalities. SIAM J. Control. Optim. 60 (6) (2022)
Hedwig Keller, Sören Bartels, Gerd Wachsmuth
Numerical Approximation of Optimal Convex and Rotationally Symmetric Shapes for an Eigenvalue Problem arising in Optimal Insulation. CoRR (2021)
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. SIAM J. Optim. 31 (2) (2021)
Eike Börgens, Christian Kanzow, Patrick Mehlitz, Gerd Wachsmuth
New Constraint Qualifications for Optimization Problems in Banach Spaces Based on Asymptotic KKT Conditions. SIAM J. Optim. 30 (4) (2020)
Tommy Etling, Roland Herzog, Estefanía Loayza, Gerd Wachsmuth
First and Second Order Shape Optimization Based on Restricted Mesh Deformations. SIAM J. Sci. Comput. 42 (2) (2020)
Sören Bartels, Gerd Wachsmuth
Numerical Approximation of Optimal Convex Shapes. SIAM J. Sci. Comput. 42 (2) (2020)
Stephan Dempe, Felix Harder, Patrick Mehlitz, Gerd Wachsmuth
Solving inverse optimal control problems via value functions to global optimality. J. Glob. Optim. 74 (2) (2019)
Marc Herrmann, Roland Herzog, Stephan Schmidt, José Vidal-Núñez, Gerd Wachsmuth
Discrete Total Variation with Finite Elements and Applications to Imaging. J. Math. Imaging Vis. 61 (4) (2019)
Constantin Christof, Gerd Wachsmuth
No-Gap Second-Order Conditions via a Directional Curvature Functional. SIAM J. Optim. 28 (3) (2018)
Bernardo González Merino, Thomas Jahn, Alexandr Polyanskii, Gerd Wachsmuth
Hunting for Reduced Polytopes. Discret. Comput. Geom. 60 (3) (2018)
Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth
Second-Order Analysis and Numerical Approximation for Bang-Bang Bilinear Control Problems. SIAM J. Control. Optim. 56 (6) (2018)
Arnd Rösch, Gerd Wachsmuth
Mass Lumping for the Optimal Control of Elliptic Partial Differential Equations. SIAM J. Numer. Anal. 55 (3) (2017)
Eduardo Casas, Daniel Wachsmuth, Gerd Wachsmuth
Sufficient Second-Order Conditions for Bang-Bang Control Problems. SIAM J. Control. Optim. 55 (5) (2017)
Gerd Wachsmuth
Conforming approximation of convex functions with the finite element method. Numerische Mathematik 137 (3) (2017)
René Schneider, Gerd Wachsmuth
A Posteriori Error Estimation for Control-Constrained, Linear-Quadratic Optimal Control Problems. SIAM J. Numer. Anal. 54 (2) (2016)
Gerd Wachsmuth
Towards M-stationarity for Optimal Control of the Obstacle Problem with Control Constraints. SIAM J. Control. Optim. 54 (2) (2016)
Roland Herzog, Georg Stadler, Gerd Wachsmuth
Erratum: Directional Sparsity In Optimal Control of Partial Differential Equations. SIAM J. Control. Optim. 53 (4) (2015)
Gerd Wachsmuth
Mathematical Programs with Complementarity Constraints in Banach Spaces. J. Optim. Theory Appl. 166 (2) (2015)
Roland Herzog, Johannes Obermeier, Gerd Wachsmuth
Annular and sectorial sparsity in optimal control of elliptic equations. Comput. Optim. Appl. 62 (1) (2015)
Gerd Wachsmuth
Strong Stationarity for Optimal Control of the Obstacle Problem with Control Constraints. SIAM J. Optim. 24 (4) (2014)
Gerd Wachsmuth
The numerical solution of Newton's problem of least resistance. Math. Program. 147 (1-2) (2014)
Roland Herzog, Christian Meyer, Gerd Wachsmuth
B- and Strong Stationarity for Optimal Control of Static Plasticity with Hardening. SIAM J. Optim. 23 (1) (2013)
Gerd Wachsmuth
On LICQ and the uniqueness of Lagrange multipliers. Oper. Res. Lett. 41 (1) (2013)
Roland Herzog, Georg Stadler, Gerd Wachsmuth
Directional Sparsity in Optimal Control of Partial Differential Equations. SIAM J. Control. Optim. 50 (2) (2012)
Roland Herzog, Christian Meyer, Gerd Wachsmuth
C-Stationarity for Optimal Control of Static Plasticity with Linear Kinematic Hardening. SIAM J. Control. Optim. 50 (5) (2012)
Eduardo Casas, Roland Herzog, Gerd Wachsmuth
Cost Functional. SIAM J. Optim. 22 (3) (2012)
Gerd Wachsmuth
Optimal Control of Quasi-static Plasticity with Linear Kinematic Hardening, Part I: Existence and Discretization in Time. SIAM J. Control. Optim. 50 (5) (2012)
Eduardo Casas, Roland Herzog, Gerd Wachsmuth
Approximation of sparse controls in semilinear equations by piecewise linear functions. Numerische Mathematik 122 (4) (2012)
Daniel Wachsmuth, Gerd Wachsmuth
Necessary Conditions for Convergence Rates of Regularizations of Optimal Control Problems. System Modelling and Optimization (2011)
Eduardo Casas, Roland Herzog, Gerd Wachsmuth
Approximation of Sparse Controls in Semilinear Elliptic Equations. LSSC (2011)