Error estimates for a galerkin approximation of a parabolic control problem
- Cite this article as:
- Winther, R. Annali di Matematica (1978) 117: 173. doi:10.1007/BF02417890
Numerical approximation of a parabolic control problem with a Neumann boundary condition control is considered. The observation is the final state. The numerical approximation is based on backward discretization with respect to time and a Galerkin method in the space variables. Optimal (except for a logarithmic term) L2 error estimates are derived for the optimal state. Certain error estimates for the optimal control are also given.