Residual Based A Posteriori Error Estimates for Convex Optimal Control Problems Governed by Stokes-Darcy Equations  

作　　者：Ming Cui Ningning Yan 

机构地区：[1]Schools of Mathematics,Shandong University,Jinan 250100,China [2]LASG,Institute of Atmospheric Physics,Chinese Academy of Sciences,Beijing 100029,China [3]LSEC,Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》2012年第4期602-634,共33页高等学校计算数学学报（英文版）

基　　金：supported by State Key Laboratory of Scientific and Engineering Computing,Chinese Academy of Sciences and National Nature Science Foundation under Grant 10801092;Independent Innovation Foundation of Shandong University,IIFSDU and Shandong Nature Science Foundation ZR2012AM003;supported by National Nature Science Foundation under Grant 11171337;the National Basic Research Program under the Grant 2010CB731505.

摘　　要：In this paper,we derive a posteriori error estimates for finite element approximations of the optimal control problems governed by the Stokes-Darcy system.We obtain a posteriori error estimators for both the state and the control based on the residual of the finite element approximation.It is proved that the a posteriori error estimate provided in this paper is both reliable and efficient.

关 键 词：Optimal control Stokes-Darcy equations a posteriori error estimate 

分 类 号：O17[理学—数学]