Inhaber der Professur für Optimale Steuerung

1.

Sparse optimization problems in fractional order Sobolev spaces

Antil, H., Wachsmuth, D.

http://arxiv.org/abs/2204.11456 (2022)

[arxiv]

 

2.

A simple proof of the Baillon-Haddad theorem on open subsets of Hilbert spaces

Wachsmuth, D., Wachsmuth, G.

http://arxiv.org/abs/2204.00282 (2022)

[arxiv]

 

3.

A Note on Existence of Solutions to Control Problems of Semilinear Partial Differential Equations

Casas, E., Wachsmuth, D.

http://arxiv.org/abs/2203.12996 (2022)

[arxiv]

 

4.

Optimal control problems with L^0(Ω) constraints: maximum principle and proximal gradient method

Wachsmuth, D.

http://arxiv.org/abs/2201.05360 (2022)

[arxiv]

 

5.

A penalty scheme to solve constrained non-convex optimization problems in BV(Ω)

Natemeyer, C., Wachsmuth, D.

http://arxiv.org/abs/2110.01849 (2021)

[arxiv]

 

6.

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]

 

1.

Second-order conditions for non-uniformly convex integrands: quadratic growth in L^1

Wachsmuth, D., Wachsmuth, G.

J Nonsmooth Anal. Opt. 3, (2022)

[ DOI ] [arxiv]

 

2.

A proximal gradient method for control problems with non-smooth and non-convex control cost

Natemeyer, C., Wachsmuth, D.

Comp. Opt. Appl. 80, 639–677 (2021)

[ DOI ] [arxiv]

 

3.

Optimal control of ODEs with state suprema

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

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

[ DOI ] [arxiv]

 

4.

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]

 

5.

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]

 

6.

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]

 

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.

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]

 

9.

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 ]

 

10.

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]

 

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.

Stability for bang-bang control problems of partial differential equations

Qui, N. T., Wachsmuth, D.

Optimization 67, 2157-2177 (2018)

[ DOI ] [arxiv]

 

13.

An augmented Lagrange method for elliptic state constrained optimal control problems

Karl, V., Wachsmuth, D.

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

[ 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.

Sufficient second-order conditions for bang-bang control problems

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

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

[ DOI ]

 

16.

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]

 

17.

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 ]

 

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.

Functional error estimators for the adaptive discretization of inverse problems

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

Inverse Problems 32, 104004 (2016)

[ DOI ] [arxiv]

 

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.

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 ]

 

22.

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

Pörner, F., Wachsmuth, D.

Optimization 65, 2195-2215 (2016)

[ DOI ] [arxiv]

 

23.

Optimal control of interface problems with hp-finite elements

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

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

[ DOI ]

 

24.

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 ]

 

25.

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 ]

 

26.

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 ]

 

27.

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

Wachsmuth, D.

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

[ DOI ]

 

28.

Optimal control of an oblique derivative problem

Wachsmuth, G., Wachsmuth, D.

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

 

29.

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 ]

 

30.

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 ]

 

31.

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 ]

 

32.

Adaptive regularization and discretization of bang-bang optimal control problems

Wachsmuth, D.

ETNA 40, 249-267 (2013)

 

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.

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 ]

 

35.

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 ]

 

36.

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 ]

 

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.

Path-following for Optimal Control of Stationary Variational Inequalities

Kunisch, K., Wachsmuth, D.

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

[ DOI ]

 

39.

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 ]

 

40.

On the regularization of optimization problems with inequality constraints

Wachsmuth, G., Wachsmuth, D.

Control and Cybernetics 4, 1125-1154 (2011)

 

41.

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 ]

 

42.

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 ]

 

43.

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 ]

 

44.

Update strategies for perturbed nonsmooth equations

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

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

[ DOI ]

 

45.

Numerical verification of optimality conditions

Rösch, A., Wachsmuth, D.

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

[ DOI ]

 

46.

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 ]

 

47.

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

Rösch, A., Wachsmuth, D.

TOP 14, 263-278 (2006)

[ DOI ]

 

48.

Sufficient second-order optimality conditions for convex control constraints

Wachsmuth, D.

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

[ DOI ]

 

49.

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

Tröltzsch, F., Wachsmuth, D.

ESAIM: COCV 12, 93-119 (2006)

[ DOI ]

 

50.

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

Wachsmuth, D.

Control and Cybernetics 34, 387-410 (2005)

 

51.

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 ]

 

52.

On convergence of a receding horizon method for parabolic boundary control

Tröltzsch, F., Wachsmuth, D.

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

[ DOI ]

 

53.

On instantaneous control for a nonlinear parabolic boundary control problem

Wachsmuth, D.

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

[ DOI ]

 

1.

Safeguarded augmented Lagrangian methods in Banach spaces

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

In: Hintermüller, M., Herzog, R., Kanzow, C., Ulbrich, M., and Ulbrich, S. (eds.) Non-Smooth and Complementarity-Based Distributed Parameter Systems. pp. 241-282. Birkhäuser (2022)

[ DOI ]

 

2.

How not to discretize the control

Wachsmuth, D., Wachsmuth, G.

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

[ DOI ]

 

3.

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 ]

 

4.

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 ]

 

5.

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 ]

 

6.

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 ]

 

7.

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 ]

 

8.

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 ]

 

9.

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 ]

 

10.

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 ]