activity
20142023
most citedPolynomial approximation of high-dimensional Hamilton-Jacobi-Bellman equations and applications to feedback control of semilinear parabolic PDEs

88 citations · 467 across the 63 of their papers we have counts for

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Showing 2017Show all

12 papers · 1 filter

math.OC2017

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…

math.OC2017

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…

math.OC2017★ 1 cited

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…

math.OC2017

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…

math.OC2017★ 23 cited

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…

math.OC2017★ 26 cited

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…