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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

ISSN号：1004-8979
期刊名称：《高等学校计算数学学报：英文版》
分类：O24[理学—计算数学;理学—数学]
作者机构：[1]LSEC, Institute of Systems Science, Academy of Mathematics and Systems Science,Chinese Academy of Science, Beijing 100080, China.
相关基金：This research was supported by the National Basic Research Program under the Grant 2005CB321701 and the National Natural Science Foundation of China under the Grants 60474027 and 10771211. The authors would like to thank Professor W.B. Liu of University of Kent, U.K., Professor D. Yang of East China Normal University, China, and Professor J. Zhu of Institute of Atmospheric Physics, CAS, China for their helpful suggestions and discussions. We are also grateful to referees for their useful comments, which improve the presentation of the paper.

作者： Ningning Yan Zhaojie Zhou[1]

关键词：约束优化控制, 对流扩散方程, 流线扩散, 有限元分析, Constrained optimal control problem, convection dominated diffusion equation, stream-line diffusion finite element method, a priori error estimate, a posteriori error estimate.

中文摘要：