Error Analysis for a Finite Element Approximation of Elliptic Dirichlet Boundary Control Problems (preprint)

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