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

Boundary value problems

Zuliang Lu¹ 

[1] School of Mathematics and Statistics, Chongqing Three Gorges University, Chongqing, P.R. China

关键词: Optimal Control Problem;    Posteriori Error Estimate;    Finite Element Approximation;    Nonlinear Parabolic Equation;    Finite Element Space;   

DOI  :  10.1186/1687-2770-2013-72

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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 derive a posteriori error 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.

【 授权许可】

CC BY