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Approximation of an elliptic control problem by the finite element method. (English) Zbl 0724.65069

Finite element approximations of an elliptic control problem are analyzed. Optimal order estimates are obtained in terms of the mesh size h and the target \(\Psi\). A computational scheme is derived which allows for the application of the conjugate gradient method. The scheme is implemented and tested on some model problems.

MSC:

65K10 Numerical optimization and variational techniques
93C20 Control/observation systems governed by partial differential equations
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