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A fast solver for an H1 regularized PDE-constrained optimization problem / Tyrone Rees, Martin Stoll
VerfasserRees, Tyrone ; Stoll, Martin
KörperschaftMax-Planck-Institut für Dynamik Komplexer Technischer Systeme
ErschienenMagdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, October 29, 2012
Umfang1 Online-Ressource (23 Seiten = 1,23 MB) : Diagramme
SpracheEnglisch
SerieMax Planck Institute Magdeburg Preprints ; 12-06
URNurn:nbn:de:gbv:3:2-63973 
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A fast solver for an H1 regularized PDE-constrained optimization problem [1.23 mb]
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Abstract: 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.