44 citations · 202 across the 26 of their papers we have counts for
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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…
Finite Element Error Estimates for Optimal Control Problems with Pointwise Tracking
Niklas Behringer, Dominik Meidner, Boris Vexler
We consider a linear-quadratic elliptic optimal control problem with point evaluations of the state variable in the cost functional. The state variable is discretized by conforming…
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…