17 citations · 27 across the 8 of their papers we have counts for
8 papers
Coefficient Control of Variational Inequalities
Andreas Hehl, Denis Khimin, Ira Neitzel +3
Within this chapter, we discuss control in the coefficients of an obstacle problem. Utilizing tools from H-convergence, we show existence of optimal solutions. First order necessar…
Global-in-time solutions for quasilinear parabolic PDEs with mixed boundary conditions in the Bessel dual scale
Fabian Hoppe, Hannes Meinlschmidt, Ira Neitzel
We prove existence and uniqueness of global-in-time solutions in the --setting for abstract quasilinear parabolic PDEs with nonsmooth data and mixed boundary…
Analysis of Four-Dimensional Variational Data Assimilation Problems in Low Regularity Spaces
Paula Castro, Juan Carlos De los Reyes, Ira Neitzel
We carry out a rigorous analysis of four-dimensional variational data assimilation (-VAR) problems for linear and semilinear parabolic partial differential equations. Continuit…
First-order conditions for the optimal control of the obstacle problem with state constraints
Ira Neitzel, Gerd Wachsmuth
We consider an optimal control problem in which the state is governed by an unilateral obstacle problem (with obstacle from below) and restricted by a pointwise state constraint (f…
A sparse control approach to optimal sensor placement in PDE-constrained parameter estimation problems
Ira Neitzel, Konstantin Pieper, Boris Vexler +1
We present a systematic approach to the optimal placement of finitely many sensors in order to infer a finite-dimensional parameter from point evaluations of the solution of an ass…
Multigoal-oriented optimal control problems with nonlinear PDE constraints
Bernhard Endtmayer, Ulrich Langer, Ira Neitzel +2
In this work, we consider an optimal control problem subject to a nonlinear PDE constraint and apply it to the regularized -Laplace equation. To this end, a reduced unconstraine…
Finite element error estimates for one-dimensional elliptic optimal control by BV functions
Dominik Hafemeyer, Florian Mannel, Ira Neitzel +1
We consider an optimal control problem governed by a one-dimensional elliptic equation that involves univariate functions of bounded variation as controls. For the discretization o…
A Lagrange Multiplier Method for Semilinear Elliptic State Constrained Optimal Control Problems
Veronika Karl, Ira Neitzel, Daniel Wachsmuth
In this paper we apply an augmented Lagrange method to a class of semilinear elliptic optimal control problems with pointwise state constraints. We show strong convergence of subse…