Annali di Matematica Pura ed Applicata

, Volume 117, Issue 1, pp 173–206 | Cite as

Error estimates for a galerkin approximation of a parabolic control problem

  • Ragnar Winther


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.


Boundary Condition Optimal State Error Estimate Control Problem Numerical Approximation 
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Copyright information

© Nicola Zanichelli Editore 1978

Authors and Affiliations

  • Ragnar Winther
    • 1
  1. 1.ChicagoU.S.A.

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