77 citations · 625 across the 37 of their papers we have counts for
4 papers · 1 filter
Vector-valued multibang control of differential equations
Christian Clason, Carla Tameling, Benedikt Wirth
We consider a class of (ill-posed) optimal control problems in which a distributed vector-valued control is enforced to pointwise take values in a finite set $\mathcal{M}\subset\ma…
L1 penalization of volumetric dose objectives in optimal control of PDEs
Richard C. Barnard, Christian Clason
This work is concerned with a class of optimal control problems governed by a partial differential equation that are motivated by an application in radiotherapy treatment planning,…
Primal-dual extragradient methods for nonlinear nonsmooth PDE-constrained optimization
Christian Clason, Tuomo Valkonen
We study the extension of the Chambolle--Pock primal-dual algorithm to nonsmooth optimization problems involving nonlinear operators between function spaces. Local convergence is s…
Nonconvex penalization of switching control of partial differential equations
Christian Clason, Armin Rund, Karl Kunisch
This paper is concerned with optimal control problems for parabolic partial differential equations with pointwise in time switching constraints on the control. A standard approach…