Inhaber der Professur für Optimale Steuerung

1.

A proximal gradient method for control problems with nonsmooth and nonconvex control cost

Natemeyer, C., Wachsmuth, D.

http://arxiv.org/abs/2007.11426 (2020)

[arxiv]

 

2.

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]

 

3.

Safeguarded augmented Lagrangian methods in Banach spaces

Karl, V., Kanzow, C., Steck, D., Wachsmuth, D.

(2019)

 

1.

Optimal control of ODEs with state suprema

Geiger, T., Wachsmuth, D., Wachsmuth, G.

Math. Control Relat. Fields 11, 555-578 (2021)

[ DOI ] [arxiv]

 

2.

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]

 

3.

Subgradients of marginal functions in parametric control problems of partial differential equations

Qui, N. T., Wachsmuth, D.

SIAM J. Opt. 30, 1724-1755 (2020)

[ DOI ] [arxiv]

 

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.

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 ]

 

6.

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]

 

7.

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]

 

8.

An augmented Lagrange method for elliptic state constrained optimal control problems

Karl, V., Wachsmuth, D.

Comp. Opt. Appl. 69, 857-880 (2018)

[ DOI ]

 

9.

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]

 

10.

Stability for bang-bang control problems of partial differential equations

Qui, N. T., Wachsmuth, D.

Optimization 67, 2157-2177 (2018)

[ DOI ] [arxiv]

 

11.

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]

 

12.

Sufficient second-order conditions for bang-bang control problems

Casas, E., Wachsmuth, D., Wachsmuth, G.

SIAM J. Control Optim. 55, 3066-3090 (2017)

[ DOI ]

 

13.

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 ]

 

14.

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]

 

15.

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]

 

16.

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 ]

 

17.

Optimal control of interface problems with hp-finite elements

Wachsmuth, D., Wurst, J.-E.

Numerical Functional Analysis and Optimization 37, 363-390 (2016)

[ DOI ]

 

18.

Functional error estimators for the adaptive discretization of inverse problems

Clason, C., Kaltenbacher, B., Wachsmuth, D.

Inverse Problems 32, 104004 (2016)

[ DOI ] [arxiv]

 

19.

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 ]

 

20.

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 ]

 

21.

An iterative Bregman regularization method for optimal control problems with inequality constraints

Pörner, F., Wachsmuth, D.

Optimization 65, 2195-2215 (2016)

[ DOI ] [arxiv]

 

22.

An interior point method designed for solving linear quadratic optimal control problems with \($hp$\) finite elements

Wachsmuth, D., Wurst, J.-E.

Optimization methods and software 30, 1276-1302 (2015)

[ DOI ]

 

23.

Boundary concentrated finite elements for optimal control problems with distributed observation

Beuchler, S., Hofer, K., Wachsmuth, D., Wurst, J.-E.

Comp. Opt. Appl. 62, 31-65 (2015)

[ DOI ]

 

24.

Newton methods for the optimal control of closed quantum spin systems

Borzì, A., Ciaramella, G., Dirr, G., Wachsmuth, D.

SIAM J. Sci. Comput. 37, A319-A346 (2015)

[ DOI ]

 

25.

Optimal control of an oblique derivative problem

Wachsmuth, G., Wachsmuth, D.

Ann. Acad. Rom. Sci. Ser. Math. Appl. 6, 50-73 (2014)

 

26.

Robust error estimates for regularization and discretization of bang-bang control problems

Wachsmuth, D.

Comp. Opt. Appl. 62, 271-289 (2014)

[ DOI ]

 

27.

On time optimal control of the wave equation, its regularization and optimality system

Kunisch, K., Wachsmuth, D.

ESAIM Control Optim. Calc. Var. 19, 317-336 (2013)

[ DOI ]

 

28.

Adaptive regularization and discretization of bang-bang optimal control problems

Wachsmuth, D.

ETNA 40, 249-267 (2013)

 

29.

On Time Optimal Control of the Wave Equation and its Numerical Realization as Parametric Optimization Problem

Kunisch, K., Wachsmuth, D.

SIAM J. Control Optim. 51, 1232-1262 (2013)

[ DOI ]

 

30.

Convergence analysis of smoothing methods for optimal control of stationary variational inequalities

Schiela, A., Wachsmuth, D.

ESAIM Math. Model. Numer. Anal. 47, 771-787 (2013)

[ DOI ]

 

31.

Boundary concentrated finite elements for optimal boundary control problems of elliptic PDEs

Beuchler, S., Pechstein, C., Wachsmuth, D.

Comp. Opt. Appl. 51, 883-908 (2012)

[ DOI ]

 

32.

A-posteriori verification of optimality conditions for control problems with finite-dimensional control space

Akindeinde, S., Wachsmuth, D.

Numerical Functional Analysis and Optimization 33, 473-523 (2012)

[ DOI ]

 

33.

A-posteriori error estimates for optimal control problems with state and control constraints

Rösch, A., Wachsmuth, D.

Numerische Mathematik 120, 733-762 (2012)

[ DOI ]

 

34.

Sufficient Optimality Conditions and Semi-Smooth Newton Methods for Optimal Control of Stationary Variational Inequalities

Kunisch, K., Wachsmuth, D.

ESAIM Control Optim. Calc. Var. 18, 520-547 (2012)

[ DOI ]

 

35.

On the regularization of optimization problems with inequality constraints

Wachsmuth, G., Wachsmuth, D.

Control and Cybernetics 4, 1125-1154 (2011)

 

36.

Path-following for Optimal Control of Stationary Variational Inequalities

Kunisch, K., Wachsmuth, D.

Comp. Opt. Appl. 51, 1345-1373 (2011)

[ DOI ]

 

37.

Semi-smooth Newton’s Method for an optimal control problem with control and mixed control-state constraints

Rösch, A., Wachsmuth, D.

Optimization methods and software 26, 169-186 (2011)

[ DOI ]

 

38.

Convergence and regularization results for optimal control problems with sparsity functional

Wachsmuth, G., Wachsmuth, D.

ESAIM Control Optim. Calc. Var. 17, 858-886 (2011)

[ DOI ]

 

39.

Optimal control of planar flow of incompressible non-Newtonian fluids

Roubívc}}ek, T., Wachsmuth, D.

J. for Analysis and its Applications 29, 351-376 (2010)

[ DOI ]

 

40.

Optimal Dirichlet boundary control of Navier-Stokes equations with state constraint

John, C., Wachsmuth, D.

Numerical Functional Analysis and Optimization 30, 1309-1338 (2009)

[ DOI ]

 

41.

Sensitivity analysis and the adjoint update strategy for optimal control problems with mixed control-state constraints

Griesse, R., Wachsmuth, D.

Comp. Opt. Appl 44, 57-81 (2009)

[ DOI ]

 

42.

Update strategies for perturbed nonsmooth equations

Griesse, R., Grund, T., Wachsmuth, D.

Optimization methods and software 23, 321-343 (2008)

[ DOI ]

 

43.

Numerical verification of optimality conditions

Rösch, A., Wachsmuth, D.

SIAM J. Control Optim. 47, 2557-2581 (2008)

[ DOI ]

 

44.

Analysis of the SQP-method for optimal control problems governed by the instationary Navier-Stokes equations based on \(${L}^p$\)-theory

Wachsmuth, D.

SIAM J. Control Optim. 46, 1133-1153 (2007)

[ DOI ]

 

45.

Second-order sufficient optimality conditions for the optimal control of Navier-Stokes equations

Tröltzsch, F., Wachsmuth, D.

ESAIM: COCV 12, 93-119 (2006)

[ DOI ]

 

46.

Regularity of solutions for an optimal control problem with mixed control-state constraints

Rösch, A., Wachsmuth, D.

TOP 14, 263-278 (2006)

[ DOI ]

 

47.

Sufficient second-order optimality conditions for convex control constraints

Wachsmuth, D.

J. Math. Anal. App. 319, 228-247 (2006)

[ DOI ]

 

48.

Regularity and Stability of optimal controls of instationary Navier-Stokes equations

Wachsmuth, D.

Control and Cybernetics 34, 387-410 (2005)

 

49.

Regularity of the adjoint state for the instationary Navier-Stokes equations

Rösch, A., Wachsmuth, D.

J. for Analysis and its Applications 24, 103-116 (2005)

[ DOI ]

 

50.

On instantaneous control for a nonlinear parabolic boundary control problem

Wachsmuth, D.

Numerical Functional Analysis and Optimization 25, 151-181 (2004)

[ DOI ]

 

51.

On convergence of a receding horizon method for parabolic boundary control

Tröltzsch, F., Wachsmuth, D.

Optimization methods and software 19, 201-216 (2004)

[ DOI ]

 

1.

How not to discretize the control

Wachsmuth, D., Wachsmuth, G.

In: Proceedings in Applied Mathematics and Mechanics. pp. 793-795 (2016)

[ DOI ]

 

2.

Upper and lower bounds on the set of recoverable strains and on effective energies in cubic-to-monoclinic martensitic phase transformations

Schlömerkemper, A., Chenchiah, I., Fechte-Heinen, R., Wachsmuth, D.

In: MATEC Web of Conferences 33 (2015)

[ DOI ]

 

3.

Necessary conditions for convergence rates of regularizations of optimal control problems

Wachsmuth, G., Wachsmuth, D.

In: Hömberg, D. and Tröltzsch, F. (eds.) System Modelling and Optimization. pp. 145-154. Springer (2013)

[ DOI ]

 

4.

Adaptive methods for control problems with finite-dimensional control space

Akindeinde, S., Wachsmuth, D.

In: Hömberg, D. and Tröltzsch, F. (eds.) System Modelling and Optimization. pp. 59-69. Springer (2013)

[ DOI ]

 

5.

Optimal Boundary Control Problems Related to High-Lift Configurations

John, C., Noack, B. R., Schlegel, M., Tröltzsch, F., Wachsmuth, D.

In: King, R. (ed.) Active Flow Control II. pp. 405-419. Springer, Berlin, Heidelberg (2010)

[ DOI ]

 

6.

Numerical Study of the Optimization of Separation Control

Carnarius, A., Günther, B., Thiele, F., Wachsmuth, D., Tröltzsch, F., Reyes, J. C.

In: Proceedings of the 45th AIAA Aerospace Sciences Meeting and Exhibit (2007)

[ DOI ]

 

7.

Numerical solution of optimal control problems with convex control constraints

Wachsmuth, D.

In: Ceragioli, F., Dontchev, A., Furuta, H., and Pandolfi, L. (eds.) Systems, Control, Modeling and Optimization. pp. 319-327. Springer (2006)

[ DOI ]

 

8.

Second-order sufficient optimality conditions for the optimal control of instationary Navier-Stokes equations

Tröltzsch, F., Wachsmuth, D.

In: Proceedings in Applied Mathematics and Mechanics. pp. 628-629 (2004)

[ DOI ]

 

9.

Fast closed loop control of the Navier-Stokes system

Hinze, M., Wachsmuth, D.

In: Bock, H. G., Kostina, E., Phu, H. X., and Rannacher, R. (eds.) Modelling, Simulation and Optimization of Complex Processes. pp. 189-202. Springer (2004)

[ DOI ]