Stokes方程最优控制问题的超收敛分析  

SUPERCONVERGENCE ANALYSIS FOR OPTIMAL CONTROL PROBLEMS GOVERNED BY STOKES EQUATIONS

作　　者：刘会坡[1] 严宁宁 

机构地区：[1]中国科学院数学与系统科学研究院

出　　处：《数值计算与计算机应用》2006年第4期281-291,共11页Journal on Numerical Methods and Computer Applications

基　　金：国家重点基础研究专项基金(No.G2000067102);国家自然科学基金(No.60474027)资助项目.

摘　　要：本文对Stokes方程分布最优控制问题的有限元近似进行了全局超收敛分析．基于一致矩形网格上的超逼近结果,通过应用两种后处理技术获得了超收敛结果和渐近准确的后验误差估计．最后,我们给出数值例子验证了理论的有效性．In this paper, the global superconvergence analysis for the finite element approximation of the distributed optimal control governed by Stokes equations is discussed. Based on the superclose result over the uniform rectangular meshes, the superconvergence result and asymptotically exact a posteriori error estimates are derived by applying two postprocessing techniques. In the end, the numerical examples are presented and the effectiveness of the theoretical results is demonstrated.

关 键 词：最优控制 STOKES方程 超收敛 后验误差估计 

分 类 号：O241[理学—计算数学]