Thomas Apel, Arnd R\"osch, Dieter Sirch:

$L^\infty$-error estimates for an optimal control problem with
distributed control


The contribution is concerned with the finite element solution of an
optimal control problem with a scalar, elliptic state equation and
pointwise bounds of the control variable. Using improved
$L^\infty$-error estimates for the discretization of boundary value
problems on graded finite element meshes, the approximation errors in
the state, the dual state and the control variable are shown to be of
almost second order.