4 papers
Optimal control of quasilinear parabolic PDEs with gradient terms and pointwise constraints on the gradient of the state
Lucas Bonifacius, Fabian Hoppe, Hannes Meinlschmidt +1
We derive existence results and first order necessary optimality conditions for optimal control problems governed by quasilinear parabolic PDEs with a class of first order nonlinea…
Error estimates for space-time discretization of parabolic time-optimal control problems with bang-bang controls
Lucas Bonifacius, Konstantin Pieper, Boris Vexler
In this paper a priori error estimates are derived for full discretization (in space and time) of time-optimal control problems. Various convergence results for the optimal time an…
Time-optimality by distance-optimality for parabolic control systems
Lucas Bonifacius, Karl Kunisch
The equivalence of time-optimal and distance-optimal control problems is shown for a class of parabolic control systems. Based on this equivalence, an approach for the efficient al…
A priori Error Estimates for Space-Time Finite Element Discretization of Parabolic Time-Optimal Control Problems
Lucas Bonifacius, Konstantin Pieper, Boris Vexler
Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a…