A posteriori error control of a state constrained elliptic control problem
نویسندگان
چکیده
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 [1] 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. Mathematics Subject Classification (2000): 49J20, 49K20, 35B37
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عنوان ژورنال:
- J. Num. Math.
دوره 16 شماره
صفحات -
تاریخ انتشار 2008