Abstract
Space-time finite element discretizations of time-optimal control problems governed by linear parabolic PDEs and subject to pointwise control constraints are considered. Optimal a priori error estimates are obtained for the control variable based on a second order sufficient optimality condition.
| Original language | English |
|---|---|
| Pages (from-to) | 129-162 |
| Number of pages | 34 |
| Journal | SIAM Journal on Control and Optimization |
| Volume | 57 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2019 |
| Externally published | Yes |
Funding
\ast Received by the editors January 24, 2018; accepted for publication (in revised form) November 5, 2018; published electronically January 3, 2019. http://www.siam.org/journals/sicon/57-1/M116694.html Funding: The first author's work was supported by the International Research Training Group IGDK, funded by the German Science Foundation (DFG) and the Austrian Science Fund (FWF). \dagger Fakult\a"t fu\"r Mathematik, Technische Universit\a"t Mu\"nchen, Munich, Bavaria, 80333, Germany ([email protected], [email protected]). \ddagger Department of Scientific Computing, Florida State University, Tallahassee, FL 32306 (kpieper@ fsu.edu).
| Funders | Funder number |
|---|---|
| German Science Foundation | |
| Deutsche Forschungsgemeinschaft | |
| Austrian Science Fund |
Keywords
- Error estimates
- Galerkin method
- Time-optimal control