Hintermiiller, M.; Hinze, Michael; Hoppe, Ronald H.W.
March 2012
Journal of Computational Mathematics;Mar2012, Vol. 30 Issue 2, p101
Academic Journal
Adaptive finite element methods for optimization problems for second order linear el-liptic partial differential equations subject to pointwise constraints on the £2-norm of the gradient of the state are considered. In a weak duality setting, i.e. without assuming a constraint qualification such as the existence of a Slater point, residual based a posteri¬ori error estimators are derived. To overcome the lack in constraint qualification on the continuous level, the weak Fenchel dual is utilized. Several numerical tests illustrate the performance of the proposed error estimators.


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