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.
| Author: | Michael HintermüllerGND, Ronald H. W. HoppeORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-5223 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/661 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2008-20) |
| Type: | Preprint |
| Language: | English |
| Date of Publication (online): | 2008/04/30 |
| Publishing Institution: | Universität Augsburg |
| Contributing Corporation: | University of Sussex, University of Houston |
| Release Date: | 2008/04/30 |
| Tag: | Lavrentiev regularization; goal oriented mesh adaptivity; mixed control-state constraints; optimal control problems |
| 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 |
