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A posteriori error control of a state constrained elliptic control problem.
- Source :
- Journal of Numerical Mathematics; 2008, Vol. 16 Issue 4, p307-322, 16p, 1 Diagram, 3 Charts, 4 Graphs
- Publication Year :
- 2008
-
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. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 15702820
- Volume :
- 16
- Issue :
- 4
- Database :
- Complementary Index
- Journal :
- Journal of Numerical Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 47102285
- Full Text :
- https://doi.org/10.1515/JNUM.2008.014