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

页码：242 / 256

页数：15

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