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Volume 24, Issue 3
Superconvergence and a Posteriori Error Estimates for Boundary Control Governed by Stokes Equations

Hui-Po Liu & Ning-Ning Yan

J. Comp. Math., 24 (2006), pp. 343-356.

Published online: 2006-06

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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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COPYRIGHT: © Global Science Press

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@Article{JCM-24-343, author = {Hui-Po Liu and Ning-Ning Yan}, title = {Superconvergence and a Posteriori Error Estimates for Boundary Control Governed by Stokes Equations}, journal = {Journal of Computational Mathematics}, year = {2006}, volume = {24}, number = {3}, pages = {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.

}, issn = {1991-7139}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jcm/8756.html} }
TY - JOUR T1 - Superconvergence and a Posteriori Error Estimates for Boundary Control Governed by Stokes Equations AU - Hui-Po Liu & Ning-Ning Yan JO - Journal of Computational Mathematics VL - 3 SP - 343 EP - 356 PY - 2006 DA - 2006/06 SN - 24 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8756.html KW - Boundary control, Finite element method, Superconvergence, A posteriori error estimates. AB -

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.

Hui-Po Liu and Ning-Ning Yan. (2006). Superconvergence and a Posteriori Error Estimates for Boundary Control Governed by Stokes Equations. Journal of Computational Mathematics. 24 (3). 343-356. doi:
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