Stoll, MartinMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292011https://epflicht.bibliothek.uni-halle.de/handle/123456789/3857870175017urn:nbn:de:gbv:3:2-638182480224Abstract: In this paper we describe the efficient solution of a PDE-constrained optimization problem subject to the time-periodic heat equation. We propose a space-time formulation for which we develop a monolithic solver. We present preconditioners well suited to approximate the Schur-complement of the saddle point system associated with the first order conditions. This means that in addition to a Richardson iteration based preconditioner we also introduce a preconditioner based on the tensor product structure of the PDE discretization, which allows the use of a FFT based preconditioner. We also consider additional bound constraints that can be treated using a semi-smooth Newton method. Moreover, we introduce robust preconditioners with respect to the regularization parameter. Numerical results will illustrate the competitiveness and flexibility of our approach.1 Online-Ressource (22 Seiten = 1,01 MB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book