Research Article
Error estimates of mixed methods for optimal control problems governed by parabolic equations
Xiaoqing Xing,
Yanping Chen,
Xiaoqing Xing
Department of Mathematics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, Hunan, China
Search for more papers by this authorCorresponding Author
Yanping Chen
Department of Mathematics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, Hunan, China
Department of Mathematics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, Hunan, ChinaSearch for more papers by this authorXiaoqing Xing,
Yanping Chen,
Xiaoqing Xing
Department of Mathematics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, Hunan, China
Search for more papers by this authorCorresponding Author
Yanping Chen
Department of Mathematics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, Hunan, China
Department of Mathematics, Hunan Key Laboratory for Computation and Simulation in Science and Engineering, Xiangtan University, Xiangtan 411105, Hunan, ChinaSearch for more papers by this authorAbstract
In this paper, we investigate the error estimates for the solutions of parabolic optimal control problem by mixed finite element methods. The state and co-state are approximated by the lowest-order Raviart–Thomas mixed finite element spaces, and the control is approximated by piecewise constant functions. The convergence for the states, co-states and the control is demonstrated. Copyright © 2008 John Wiley & Sons, Ltd.
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