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Abstract
We develop an adaptive finite element concept for elliptic optimal control problems with constraints on the state. In order to generate goal-oriented meshes, we extend the Dual Weighted Residual (DWR) concept proposed by Becker and Rannacher for PDE-constrained optimization to the state constrained case. Using the optimality system of the underlying PDE-constrained optimal control problem we obtain a representation for the error in the objectives. Based on this representation we define local error indicators, whose performance we investigate by means of a numerical example.
Keywords:: elliptic optimal control problem; state constraints; goal-oriented adaptivity; error estimates
Received: 2007-04-19
Revised: 2007-12-14
Published Online: 2008-12-18
Published in Print: 2008-December
© de Gruyter 2008
