88 citations · 467 across the 63 of their papers we have counts for
11 papers · 2 filters
Optimal actuator design based on shape calculus
Dante Kalise, Karl Kunisch, Kevin Sturm
An approach to optimal actuator design based on shape and topology optimisation techniques is presented. For linear diffusion equations, two scenarios are considered. For the first…
Analysis of optimal control problems of semilinear elliptic equations by BV-functions
Eduardo Casas, Karl Kunisch
Optimal control problems for semilinear elliptic equations with control costs in the space of bounded variations are analysed. BV-based optimal controls favor piecewise constant, a…
On the monotone and primal-dual active set schemes for -type problems,
Daria Ghilli, Karl Kunisch
Nonsmooth nonconvex optimization problems involving the quasi-norm, , of a linear map are considered. A monotonically convergent scheme for a regularized ver…
Numerical Study of Polynomial Feedback Laws for a Bilinear Control Problem
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
An infinite-dimensional bilinear optimal control problem with infinite-time horizon is considered. The associated value function can be expanded in a Taylor series around the equil…
Total variation regularization of multi-material topology optimization
Christian Clason, Florian Kruse, Karl Kunisch
This work is concerned with the determination of the diffusion coefficient from distributed data of the state. This problem is related to homogenization theory on the one hand and…
Control Strategies for the Fokker-Planck Equation
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
Using a projection-based decoupling of the Fokker-Planck equation, control strategies that allow to speed up the convergence to the stationary distribution are investigated. By mea…
Taylor Expansions of the Value Function Associated with a Bilinear Optimal Control Problem
Tobias Breiten, Karl Kunisch, Laurent Pfeiffer
A general bilinear optimal control problem subject to an infinite-dimensional state equation is considered. Polynomial approximations of the associated value function are derived a…
A convex analysis approach to optimal controls with switching structure for partial differential equations
Christian Clason, Kazufumi Ito, Karl Kunisch
Optimal control problems involving hybrid binary-continuous control costs are challenging due to their lack of convexity and weak lower semicontinuity. Replacing such costs with th…
A convex analysis approach to multi-material topology optimization
Christian Clason, Karl Kunisch
This work is concerned with optimal control of partial differential equations where the control enters the state equation as a coefficient and should take on values only from a giv…
A convex penalty for switching control of partial differential equations
Christian Clason, Armin Rund, Karl Kunisch +1
A convex penalty for promoting switching controls for partial differential equations is introduced; such controls consist of an arbitrary number of components of which at most one…
Polynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs
Dante Kalise, Karl Kunisch
A procedure for the numerical approximation of high-dimensional Hamilton-Jacobi-Bellman (HJB) equations associated to optimal feedback control problems for semilinear parabolic equ…