Goal Oriented Mesh Adaptivity for Mixed Control-State Constrained Elliptic Optimal Control Problems

  • We consider the application of the goal-oriented weighted dual approach for the adaptive finite element solution of mixed control-state constrained elliptic optimal control problems with an objective functional of tracking type. Choosing the objective functional as the quantity of interest, the a posteriori error estimator consists of primal-dual residuals, a primal-dual mismatch in complementarity, and data oscillations. Numerical examples illustrate the performance of the error estimator.

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Author:Michael HintermüllerGND, Ronald H. W. HoppeORCiDGND
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/661
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2008-20)
Publishing Institution:Universität Augsburg
Contributing Corporation:University of Sussex, University of Houston
Release Date:2008/04/30
Tag:optimal control problems; mixed control-state constraints; Lavrentiev regularization; goal oriented mesh adaptivity
GND-Keyword:Optimale Kontrolle; A-posteriori-Abschätzung; Fehleranalyse; Elliptische Differentialgleichung
Institutes:Mathematisch-Naturwissenschaftlich-Technische Fakultät
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik
Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Numerische Mathematik
Dewey Decimal Classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik