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.

引用

页码：297 / 320

页数：24

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