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Titel
Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities
VerfasserHintermüller, Michael In der Gemeinsamen Normdatei der DNB nachschlagen ; Hoppe, Ronald H.W. ; Löbhard, Caroline
Erschienen in
ESAIM: Control, Optimisation and Calculus of Variations, Les Ulis, 2014, Jg. 20, H. 2, S. 524-546
ErschienenEDP Sciences
SpracheEnglisch
DokumenttypAufsatz in einer Zeitschrift
Schlagwörter (EN)Adaptive finite element method / C-stationarity / goal-oriented error estimation / mathematical programming with equilibrium constraints / optimal control of variational inequalities
Schlagwörter (GND)Diskrete Approximation / Adaptives Verfahren / Finite-Elemente-Methode / Online-Publikation
URNurn:nbn:at:at-ubg:3-829 Persistent Identifier (URN)
DOIdoi:10.1051/cocv/2013074 
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Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities [1.18 mb]
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Zusammenfassung (Englisch)

A dual-weighted residual approach for goal-oriented adaptive finite elements for a class of optimal control problems for elliptic variational inequalities is studied. The development is based on the concept of C-stationarity. The overall error representation depends on primal residuals weighted by approximate dual quantities and vice versa as well as various complementarity mismatch errors. Also, a priori bounds for C-stationary points and associated multipliers are derived. Details on the numerical realization of the adaptive concept are provided and a report on numerical tests including the critical cases of biactivity are presented.

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