17 citations · 54 across the 8 of their papers we have counts for
3 papers · 2 filters
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…
Inverse point source location with the Helmholtz equation on a bounded domain
Konstantin Pieper, Bao Quoc Tang, Philip Trautmann +1
The problem of recovering acoustic sources, more specifically monopoles, from point-wise measurements of the corresponding acoustic pressure at a limited number of frequencies is a…
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…