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Dual-weighted goal-oriented adaptive finite elements for optimal control of elliptic variational inequalities

M. HintermüllerR. H. W. HoppeC. Löbhard — 2014

ESAIM: Control, Optimisation and Calculus of Variations

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 as well as various complementarity mismatch errors. Also, bounds for C-stationary points and associated multipliers are derived. Details on the numerical realization of...

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