A priori error estimates of mixed methods for quadratic convex optimal control problem governed by nonlinear parabolic equations

被引：0
|
作者：
Lu, Z. L. [1 ]
Chen, Y. P. [2 ]
机构：
[1] Xiangtan Univ, Inst Computat & Appl Math, Xiangtan, Peoples R China
[2] South China Normal Univ, Sch Math Sci, Guangzhou, Peoples R China
来源：
2009 6TH INTERNATIONAL CONFERENCE ON ELECTRICAL ENGINEERING, COMPUTING SCIENCE AND AUTOMATION CONTROL (CCE 2009) | 2009年
关键词：
a priori error estimates; mixed finite element method; nonlinear parabolic optimal control; FINITE-ELEMENT METHODS;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper we investigate a priori error estimates of quadratic convex optimal control problem governed by nonlinear parabolic equations using 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. By applying some error estimates results of mixed finite element methods for parabolic equations, we derive a priori error estimates of optimal order both for the coupled state and the control approximation of the optimal control problem
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收藏
页码：84 / +
页数：2
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