中文摘要：

1 引言 Stokes方程最优控制问题在工程应用中有重要的意义,其数值方法的研究受到人们的广泛关注．本文应用重构型超收敛技术得到了超收敛结果和渐进准确的后验误差估计．应用后验误差估计我们还能进行自适应计算．

英文摘要：

In this paper, we obtain superconvergence results and asymptotically exact a posteriori error estimates by applying two recovery methods, which are the patch recovery technique and the L2 projection method. Our results are based on some regularity assumption for the Stokes control problems and are applicable to the first order conforming finite element method with regular but non-uniform partitions.