, Volume 117, Issue 1, pp 173-206

Error estimates for a galerkin approximation of a parabolic control problem

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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.

Entrata in Redazione il 4 maggio 1977.
This work was supported by the Norwegian Research Council for Science and the Humanities.