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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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【Author】 Ningning Yan~* Zhaojie Zhou LSEC,Institute of Systems Science,Academy of Mathematics and Systems Science,Chinese Academy of Science,Beijing 100080,China.

【摘要】 <正>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.更多还原

【Abstract】 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.更多还原

【关键词】 Constrained optimal control problem； convection dominated diffusion equation； stream-line diffusion finite element method； a priori error estimate； a posteriori error estimate；
【Key words】 Constrained optimal control problem； convection dominated diffusion equation； stream-line diffusion finite element method； a priori error estimate； a posteriori error estimate；

【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.

【文献出处】 Numerical Mathematics:Theory,Methods and Applications ,高等学校计算数学学报(英文版) , 编辑部邮箱 ,2008年03期

【分类号】O232
【被引频次】8
【下载频次】71

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