A posteriori error estimates of finite element methods for nonlinear quadratic boundary optimal control problem |
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| Authors: | Z. Lu |
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| Affiliation: | 1. College of Mathematics and Computer Sciences, Chongqing Three Gorges University, Chongqing, 404100, China
2. College of Civil Engineering and Mechanics, Xiangtan University, Xiangtan, 411105, China
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| Abstract: | This paper is aimed at studying finite element discretization for a class of quadratic boundary optimal control problems governed by nonlinear elliptic equations. We derive a posteriori error estimates for the coupled state and control approximation. Such estimates can be used to construct a reliable adaptive finite element approximation for the boundary optimal control problem. Finally, we present a numerical example to confirm our theoretical results. |
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