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

被引：2

作者：

Cui, Ming ^{[1
]}

Yan, Ningning ^{[2
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Peoples R China

[2] Chinese Acad Sci, Acad Math & Syst Sci, Inst Syst Sci, LSEC, Beijing 100190, Peoples R China

来源：

NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2012年 / 5卷 / 04期

关键词：

Optimal control; Stokes-Darcy equations; a posteriori error estimate; SUPERCONVERGENCE;

D O I：

10.4208/nmtma.2012.m1113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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.

引用

页码：602 / 634

页数：33

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