A Priori Error Estimates of Mixed Methods for Optimal Control Problems Governed by Parabolic Equations

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• 作者：Zuliang Lu^a ; ^b ; ^{zulianglux@126.com} ; Xiao Huang^c
• 关键词：A priori error estimates ; mixed finite element method ; general parabolic optimal control problems
• 刊名：Energy Procedia
• 出版年：2011
• 出版时间：2011
• 年：2011
• 卷：11
• 期：Complete
• 页码：1621-1625
• 全文大小：363 K

文摘

In this paper, we investigate a priori error estimates of mixed finite element methods for general optimal control problem governed by parabolic equations. The state and co-state are approximated by the Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions. We derive a priori error estimates for the state and the control approximation of parabolic optimal control problem. Finally, we present a numerical example which confirms the theoretical results.