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.

Download full text files

Export metadata

Statistics

Number of document requests

Additional Services

Share in Twitter Search Google Scholar
Metadaten
Author:Michael HintermüllerGND, Ronald H. W. HoppeORCiDGND
URN:urn:nbn:de:bvb:384-opus4-5223
Frontdoor URLhttps://opus.bibliothek.uni-augsburg.de/opus4/661
Series (Serial Number):Preprints des Instituts für Mathematik der Universität Augsburg (2008-20)
Type:Preprint
Language:English
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

OPUS4 Logo