Superconvergence and a Posteriori Error Estimates for Boundary Control Governed by Stokes Equations

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Abstract

In this paper, the superconvergence results are derived for a class of boundary control problems governed by Stokes equations. We derive superconvergence results for both the control and the state approximation. Based on superconvergence results, we obtain asymptotically exact a posteriori error estimates.

Keywords:

Boundary control Finite element method Superconvergence A posteriori error estimates.
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Superconvergence and a Posteriori Error Estimates for Boundary Control Governed by Stokes Equations. (2006). Journal of Computational Mathematics, 24(3), 343-356. https://www.global-sci.com/index.php/JCM/article/view/11767