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

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

Year:    2006

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 3 : pp. 343–356

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2006-JCM-8756

Journal of Computational Mathematics, Vol. 24 (2006), Iss. 3 : pp. 343–356

Published online:    2006-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    14

Keywords:    Boundary control Finite element method Superconvergence A posteriori error estimates.