Adaptive fully-discrete finite element methods for nonlinear quadratic parabolic boundary optimal control

Adaptive fully-discrete finite element methods for nonlinear quadratic parabolic boundary optimal control
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非线性二次抛物线边界最优控制的自适应全离散有限元方法

DOI:
10.1186/1687-2770-2013-72
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发表时间:
2013-04
影响因子:
1.7
通讯作者:
Zuliang Lu
Zuliang Lu
中科院分区:
数学4区
文献类型:
--
作者:
Zuliang Lu

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The aim of this work is to study adaptive fully-discrete finite element methods for quadratic boundary optimal control problems governed by nonlinear parabolic equations. We derivea posteriorierror estimates for the state and control approximation. Such estimates can be used to construct reliable adaptive finite element approximation for nonlinear quadratic parabolic boundary optimal control problems. Finally, we present a numerical example to show the theoretical results.
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