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SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES FOR BOUNDARY CONTROL GOVERNED BY STOKES EQUATIONS 被引量:2

SUPERCONVERGENCE AND A POSTERIORI ERROR ESTIMATES FOR BOUNDARY CONTROL GOVERNED BY STOKES EQUATIONS
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摘要 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. Base on superconvergence results, we obtain asymptotically exact a posteriori error estimates. 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. Base on superconvergence results, we obtain asymptotically exact a posteriori error estimates.
出处 《Journal of Computational Mathematics》 SCIE EI CSCD 2006年第3期343-356,共14页 计算数学(英文)
基金 The research was supported by the Special Funds for Major State Basic Research Projects (No. G2000067102), National Natural Science Foundation of China (No. 60474027).
关键词 Boundary control Finite element method SUPERCONVERGENCE A posteriori error estimates. Boundary control, Finite element method, Superconvergence, A posteriori error estimates.
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  • 1M. Ainsworth and A. Craig.A posteriori error estimators in the finite element method, Numer[].Mathematica Journal.1992

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