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Titel
Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints
Verfasser/ VerfasserinHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Kopacka, Ian ; Volkwein, Stefan
Erschienen in
ESAIM: Control, Optimisation and Calculus of Variations, Les Ulis, 2009, Jg. 15, H. 3, S. 626-652
ErschienenEDP Sciences
Ausgabe
Publisher version
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Bilateral control-state constraints / heat equation / mesh independence / optimal control / PDE-constrained optimization / semismooth Newton method
ISSN1262-3377
URNurn:nbn:at:at-ubg:3-1141 Persistent Identifier (URN)
DOI10.1051/cocv:2008042 
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Mesh-independence and preconditioning for solving parabolic control problems with mixed control-state constraints [0.77 mb]
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Zusammenfassung (Englisch)

Optimal control problems for the heat equation with pointwise bilateral control-state constraints are considered. A locally superlinearly convergent numerical solution algorithm is proposed and its mesh independence is established. Further, for the efficient numerical solution reduced space and Schur complement based preconditioners are proposed which take into account the active and inactive set structure of the problem. The paper ends by numerical tests illustrating our theoretical findings and comparing the efficiency of the proposed preconditioners.

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