A fast solver for an H1 regularized PDE-constrained optimization problem / Tyrone Rees, Martin Stoll
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870323016
URN
urn:nbn:de:gbv:3:2-63973
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Autorin / Autor
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Erschienen
Magdeburg : Max Planck Institute for Dynamics of Complex Technical Systems, October 29, 2012
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1 Online-Ressource (23 Seiten = 1,23 MB) : Diagramme
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Sprache
eng
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Inhaltliche Zusammenfassung
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.
Schriftenreihe
Max Planck Institute Magdeburg Preprints ; 12-06 ppn:870173030