Spectral Element Discretization of Optimal Control Problems

Code:
28/2009
Title:
Spectral Element Discretization of Optimal Control Problems
Date:
Friday 11th September 2009
Author(s):
Gaudio, Loredana; Quarteroni, Alfio
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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 works.