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Title
Goal-oriented adaptivity in control constrained optimal control of partial differential equations
AuthorHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Hoppe, Ronald H.W.
Published in
SIAM Journal on Control and Optimization, Philadelphia, Pa., 2008, Vol. 47, Issue 4, page 1721-1743
PublishedSIAM
Edition
Publisher version
LanguageEnglish
Document typeJournal Article
Keywords (EN)adaptive finite element method / a posteriori error estimate / control constraints / goal-oriented adaptivity / PDE-constrained optimization
ISSN1095-7138
URNurn:nbn:at:at-ubg:3-949 Persistent Identifier (URN)
DOIdoi:10.1137/070683891 
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 The work is publicly available
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Abstract (English)

Dual-weighted goal-oriented error estimates for a class of pointwise control constrained optimal control problems for second order elliptic partial differential equations are derived. It is demonstrated that the constraints give rise to a primal-dual weighted error term representing the mismatch in the complementarity system due to discretization. The paper also contains a posteriori error estimators for the $L^2$-norm of the error in the state and in the adjoint state.

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