Functional approach to a posteriori error estimation for elliptic optimal control problems with distributed control
- We present a new approach to the a posteriori analysis of distributed optimal control problems. It is based on functional type a posteriori estimates that provide computable and guaranteed bounds of errors for any conforming approximations of a boundary value problem. We derive computable two-sided a posteriori estimates for the cost functional and estimates for the approximations of state and control functions. Numerical results illustrate efficiency of the approach suggested.
| Author: | Alexandra GaevskayaGND, Ronald H. W. HoppeORCiDGND, Sergey I. Repin |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-4282 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/527 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2007-12) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Contributing Corporation: | Steklov Institute of Mathematics, St. Petersburg |
| Release Date: | 2007/07/12 |
| Tag: | functional error majorants; distributed optimal control |
| GND-Keyword: | Optimale Kontrolle; A-posteriori-Abschätzung; Fehleranalyse; Randwertproblem |
| 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 |
