47 citations · 91 across the 29 of their papers we have counts for
4 papers · 1 filter
Optimal control of a rate-independent evolution equation via viscous regularization
Ulisse Stefanelli, Gerd Wachsmuth, Daniel Wachsmuth
We study the optimal control of a rate-independent system that is driven by a convex, quadratic energy. Since the associated solution mapping is non-smooth, the analysis of such co…
The regularity of the positive part of functions in with applications to parabolic equations
Daniel Wachsmuth
Let with be given. Then we show by means of a counter-example that the positive part of has less regularity, in p…
How not to discretize the control
Daniel Wachsmuth, Gerd Wachsmuth
In this short note, we address the discretization of optimal control problems with higher order polynomials. We develop a necessary and sufficient condition to ensure that weak lim…
An iterative Bregman regularization method for optimal control problems with inequality constraints
Frank Pörner, Daniel Wachsmuth
We study an iterative regularization method of optimal control problems with control constraints. The regularization method is based on generalized Bregman distances. We provide co…