Optimal Control of the Stokes Equations: A Priori Error Analysis for Finite Element Discretization with Postprocessing
Abstract
An optimal control problem for 2d and 3d Stokes equations is investigated with pointwise control constraints. This paper is concerned with the discretization of the control by piecewise constant functions. The state and the adjoint state are discretized by finite element schemes. In the paper a postprocessing strategy is suggested, which allows for significant improvement of the accuracy.
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Copyright © 2006 Society for Industrial and Applied Mathematics.
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Submitted: 2 August 2005
Accepted: 6 April 2006
Published online: 29 September 2006
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