A Priori and A Posteriori Error Estimates of Streamline Diffusion Finite Element Method for Optimal Control Problem Governed by Convection Dominated Diffusion Equation

被引：0
|
作者：
Yan, Ningning [1 ]
Zhou, Zhaojie [1 ]
机构：
[1] Chinese Acad Sci, LSEC, Inst Syst Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
来源：
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS | 2008年 / 1卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Constrained optimal control problem; convection dominated diffusion equation; streamline diffusion finite element method; a priori error estimate; a posteriori error estimate;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate a streamline diffusion finite element approximation scheme for the constrained optimal control problem governed by linear convection dominated diffusion equations. We prove the existence and uniqueness of the discretized scheme. Then a priori and a posteriori error estimates are derived for the state, the co-state and the control. Three numerical examples are presented to illustrate our theoretical results.
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页码：297 / 320
页数：24
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