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

查看全文 作　　者：Ningning Yan Zhaojie [1]Zhou

机构地区：[1]LSEC, Institute of Systems Science, Academy of Mathematics and Systems Science,Chinese Academy of Science, Beijing 100080, China.

出　　处：《Numerical Mathematics(Theory,Methods and Applications)》索引2008年第1卷第3期,共24页

基　　金：supported by the National Basic Research Program under the Grant 2005CB321701;the National Natural Science Foundation of China under the Grants 60474027 and 10771211. 摘　　要：In this paper,we investigate a streamline diffusion finite element approxi- mation scheme for the constrained optimal control problem governed by linear con- vection 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. 关键词：约束优化控制对流扩散方程流线扩散有限元分析

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

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