Abstract
In this article we summarize recent results on a priori error estimates for space-time finite element discretizations of linear-quadratic parabolic optimal control problems. We consider the following three cases: problems without inequality constraints, problems with pointwise control constraints, and problems with state constraints pointwise in time. For all cases, error estimates with respect to the temporal and to the spatial discretization parameters are derived. The results are illustrated by numerical examples.
| Original language | English |
|---|---|
| Title of host publication | Constrained Optimization and Optimal Control for Partial Differential Equations |
| Publisher | Springer Basel |
| Pages | 445-466 |
| Number of pages | 22 |
| ISBN (Electronic) | 9783034801331 |
| ISBN (Print) | 9783034801324 |
| DOIs | |
| State | Published - 1 Jan 2012 |
Keywords
- Discretization error
- Error estimates
- Finite elements, control constraints
- Optimal control
- Parabolic equations
- State constraints