Rees, TyroneStoll, MartinMax-Planck-Institut für Dynamik Komplexer Technischer Systeme2025-05-292012https://epflicht.bibliothek.uni-halle.de/handle/123456789/3873870323016urn:nbn:de:gbv:3:2-639732480946Abstract: In this paper we consider a PDE-constrained optimization problem where an H1 regularization control term is introduced. We address both time-independent and time-dependent versions. We introduce bound constraints on the state, and show how these can be handled by a Moreau-Yosida penalty function. We propose Krylov solvers and preconditioners for the different problems and illustrate their performance with numerical examples.1 Online-Ressource (23 Seiten = 1,23 MB) : Diagrammeenghttp://rightsstatements.org/vocab/InC/1.0/510Book