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@inproceedings{Vexler2012ErrorAF, title={Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems (preprint)}, author={Boris Vexler}, year={2012} }

- Published 2012

We consider the Galerkin finite element approximation of an elliptic Dirichlet boundary control model problem governed by the Laplacian operator. The analytical setting of this problem uses L2 controls and a “very weak” formulation of the state equation. However, the corresponding finite element approximation uses standard continuous trial and test functions. For this approximation, we derive a priori error estimates of optimal order, which are confirmed by numerical experiments. The proofs… CONTINUE READING

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