Article ID: | iaor20133978 |
Volume: | 56 |
Issue: | 1 |
Start Page Number: | 131 |
End Page Number: | 151 |
Publication Date: | Sep 2013 |
Journal: | Computational Optimization and Applications |
Authors: | Hinze Michael, Gong Wei |
Keywords: | error analysis |
The numerical approximation to a parabolic control problem with control and state constraints is studied in this paper. We use standard piecewise linear and continuous finite elements for the space discretization of the state, while the dG(0) method is used for time discretization. A priori error estimates for control and state are obtained by an improved maximum error estimate for the corresponding discretized state equation. Numerical experiments are provided which support our theoretical results.