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∞-estimates of mixed finite element methods for general nonlinear optimal control problems |
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| 作者姓名： | Yanping CHEN Zuliang LU |
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| 作者单位： | School of Mathematical Sciences,South China Normal University;School of Mathematics and Statistics,Chongqing Three Gorges University;College of Civil Engineering and Mechanics,Xiangtan University |
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| 基金项目： | supported by the Foundation for Talent Introduction of Guangdong Provincial University,Guangdong Province Universities and Colleges Pearl River Scholar Funded Scheme(2008);National Science Foundation of China under Grant No.10971074;China Postdoctoral Science Foundation under Grant No.2011M500968 |
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| 摘 要： | This paper investigates L~∞-estimates for the general optimal control problems governed by two-dimensional nonlinear elliptic equations with pointwise control constraints using mixed finite element methods.The state and the co-state are approximated by the lowest order Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant functions.The authors derive L~∞-estimates for the mixed finite element approximation of nonlinear optimal control problems.Finally,the numerical examples are given.
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| 关 键 词： | L~∞-error estimates mixed finite element methods nonlinear elliptic equations optimal control problems pointwise control constraints. |
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