A Posteriori Error Estimates of Triangular Mixed Finite Element Methods for Semi linear Optimal Control Problems

被引：0
作者：
Lu, Zuliang [2 ]
Chen, Yanping [1 ]
机构：
[1] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China
[2] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Dept Math, Xiangtan 411105, Hunan, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2009年 / 1卷 / 02期
基金：
美国国家科学基金会;
关键词：
Semilinear optimal control problems; mixed finite element methods; a posteriori error estimates; QUADRATIC OPTIMAL-CONTROL; PARABOLIC EQUATIONS; ELLIPTIC-EQUATIONS; STOKES EQUATIONS; SPECTRAL METHOD; SUPERCONVERGENCE; APPROXIMATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present an a posteriori error estimates of semilinear quadratic constrained optimal control problems using triangular mixed finite element methods. The state and co-state are approximated by the order k <= 1 Raviart-Thomas mixed finite element spaces and the control is approximated by piecewise constant element. We derive a posteriori error estimates for the coupled state and control approximations. A numerical example is presented in confirmation of the theory.
引用
收藏
页码：242 / 256
页数：15
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