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

引用

页码：84 / +

页数：2

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