|Title:|| Spectral Element Discretization of Optimal Control Problems|
|Date:|| Friday 11th September 2009|
|Author(s) :|| Gaudio, Loredana; Quarteroni, Alfio|
|Abstract:|| In this work we consider the numerical solution of a distributed optimal control problem associated with an elliptic partial differential equation.
We approximate the optimality system by the spectral element method and derive a posteriori error estimates with respect to the cost functional.
Then we use an hN adaptive refinement technique to reduce this error: the error indicator is used to mark what elements must be refined. The
choice between an h or N refinement is based on the use of a predicted error reduction algorithm. Numerical results show the way this algorithm