Publications

1.
Full stability for variational Nash equilibriums of parametric optimal control problems of PDEs Qui, N. T., Wachsmuth, D. http://arxiv.org/abs/2002.08635 (2020).
[arxiv]
 
2.
Safeguarded augmented Lagrangian methods in Banach spaces Karl, V., Kanzow, C., Steck, D., Wachsmuth, D. (2019).
 
3.
Optimal control of an evolution equation with non-smooth dissipation Geiger, T., Wachsmuth, D. http://arxiv.org/abs/1801.04077 (2018).
[arxiv]
 

Article in journal, newspaper, or magazine

1.
A proximal gradient method for control problems with non-smooth and non-convex control cost Natemeyer, C., Wachsmuth, D. Comp. Opt. Appl. (2021).
[ DOI ] [arxiv]
 
2.
Optimal control of ODEs with state suprema Geiger, T., Wachsmuth, D., Wachsmuth, G. Math. Control Relat. Fields 11, 555-578 (2021).
[ DOI ] [arxiv]
 
3.
Subdifferentials of marginal functions of parametric bang–bang control problems Qui, N. T. Nonlinear Analysis 195, 111743 (2020).
[ DOI ]
 
4.
A Lagrange multiplier method for semilinear elliptic state constrained optimal control problems Karl, V., Neitzel, I., Wachsmuth, D. Comp. Opt. Appl. 831-869 (2020).
[ DOI ] [arxiv]
 
5.
First and second order conditions for optimal control problems with an L^0 term in the cost functional Casas, E., Wachsmuth, D. SIAM J. Control Optim. 58, 3486–3507 (2020).
[ DOI ] [arxiv]
 
6.
Iterative hard-thresholding applied to optimal control problems with L^0(Ω) control cost Wachsmuth, D. SIAM J. Control Optim. 57, 854-879 (2019).
[ DOI ] [arxiv]
 
7.
Full stability for a class of control problems of semilinear elliptic partial differential equations Qui, N. T., Wachsmuth, D. SIAM J. Control Optim. 57, 3021-3045 (2019).
[ DOI ] [arxiv]
 
8.
The multiplier-penalty method for generalized Nash equilibrium problems in Banach spaces Kanzow, C., Karl, V., Steck, D., Wachsmuth, D. SIAM J. Optim. 29, 767-793 (2019).
[ DOI ]
 
9.
On the uniqueness of non-reducible multi-player control problems Karl, V., Pörner, F. Optimization Methods and Software (2019).
[ DOI ] [arxiv]
 
10.
A priori stopping rule for an iterative Bregman method for optimal control problems Pörner, F. Optimization Methods and Software 33, 249-267 (2018).
[ DOI ] [arxiv]
 
11.
Inexact Iterative Bregman Method for Optimal Control Problems Pörner, F. Numerical Functional Analysis and Optimization 39, 491-516 (2018).
[ DOI ] [arxiv]
 
12.
An augmented Lagrange method for elliptic state constrained optimal control problems Karl, V., Wachsmuth, D. Comp. Opt. Appl. 69, 857-880 (2018).
[ DOI ]
 
13.
Error estimates for the approximation of a discrete-valued optimal control problem Clason, C., Do, T. B. T., Pörner, F. Comp. Opt. Appl. 71, 857-878 (2018).
[ DOI ] [arxiv]
 
14.
Stability for bang-bang control problems of partial differential equations Qui, N. T., Wachsmuth, D. Optimization 67, 2157-2177 (2018).
[ DOI ] [arxiv]
 
15.
A joint Tikhonov regularization and augmented Lagrange approach for ill-posed state constrained control problems with sparse controls Karl, V., Pörner, F. Numer. Funct. Anal. Optim. 39, 1543-1573 (2018).
[ DOI ] [arxiv]
 
16.
Second-order analysis and numerical approximation for bang-bang bilinear control problems Casas, E., Wachsmuth, D., Wachsmuth, G. SIAM J. Control Optim. 56, 4203-4227 (2018).
[ DOI ] [arxiv]
 
17.
An augmented Lagrangian method for optimization problems in Banach spaces Steck, D., Kanzow, C., Wachsmuth, D. SIAM J. Control Optim. 56, 272-291 (2018).
[ DOI ] [arxiv]
 
18.
Optimal control of a rate-independent evolution equation via viscous regularization Stefanelli, U., Wachsmuth, D., Wachsmuth, G. Discrete and Continuous Dynamical Systems - Series S 10, 1467-1485 (2017).
[ DOI ]
 
19.
Sufficient second-order conditions for bang-bang control problems Casas, E., Wachsmuth, D., Wachsmuth, G. SIAM J. Control Optim. 55, 3066-3090 (2017).
[ DOI ]
 
20.
On the switching behavior of sparse optimal controls for the one-dimensional heat equation Tröltzsch, F., Wachsmuth, D. Mathematical Control & Related Fields 8, 135-153 (2017).
[ DOI ] [arxiv]
 
21.
Pontryagin’s principle for optimal control problem governed by 3d Navier-Stokes equations Kien, B., Rösch, A., Wachsmuth, D. J. Optim. Theory Appl. 173, 30-55 (2017).
[ DOI ]
 
22.
Tikhonov regularization of optimal control problems governed by semi-linear partial differential equations Pörner, F., Wachsmuth, D. Mathematical Control & Related Fields 8, 315-335 (2017).
[ DOI ] [arxiv]
 
23.
Exponential convergence of hp-finite element discretization of optimal boundary control problems with elliptic partial differential equations Wachsmuth, D., Wurst, J.-E. SIAM J. Control Optim. 54, 2526-2552 (2016).
[ DOI ]
 
24.
An iterative Bregman regularization method for optimal control problems with inequality constraints Pörner, F., Wachsmuth, D. Optimization 65, 2195-2215 (2016).
[ DOI ] [arxiv]
 
25.
The regularity of the positive part of functions in L^2(I;H^1(Ω)) ∩ H^1(I;H^1(Ω)^*) with applications to parabolic equations Wachsmuth, D. Comment. Math. Univ. Carolin. 57, 327-332 (2016).
[ DOI ]
 
26.
Optimal control of interface problems with hp-finite elements Wachsmuth, D., Wurst, J.-E. Numerical Functional Analysis and Optimization 37, 363-390 (2016).
[ DOI ]
 
27.
Functional error estimators for the adaptive discretization of inverse problems Clason, C., Kaltenbacher, B., Wachsmuth, D. Inverse Problems 32, 104004 (2016).
[ DOI ] [arxiv]
 

Article in Conference Proceedings

1.
How not to discretize the control Wachsmuth, D., Wachsmuth, G. In: Proceedings in Applied Mathematics and Mechanics. pp. 793-795 (2016).
[ DOI ]
 
2.
A sharp regularization error estimate for bang-bang solutions for an iterative Bregman regularization method for optimal control problems Pörner, F. In: Proceedings in Applied Mathematics and Mechanics. pp. 787-788 (2016).
[ DOI ] [arxiv]