A posteriori error estimates for mixed finite element solutions of convex optimal control problems

被引：70

作者：

Chen, Yanping ^{[1
]}

Liu, Wenbin ^{[2
,3
]}

机构：

[1] Xiangtan Univ, Hunan Key Lab Computat & Simulat Sci & Engn, Dept Math, Xiangtan 411105, Peoples R China

[2] Univ Kent, CBS, Canterbury CT2 7NF, Kent, England

[3] Univ Kent, IMS, Canterbury CT2 7NF, Kent, England

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 211卷 / 01期

基金：

中国国家自然科学基金;

关键词：

adaptive remeshing schemes; a posteriori error estimator; mixed finite element; convex optimal control problems;

D O I：

10.1016/j.cam.2006.11.015

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 analysis for mixed finite element approximation of convex optimal control problems. We derive a posteriori error estimates for the coupled state and control approximations under some assumptions which hold in many applications. Such estimates can be used to construct reliable adaptive mixed finite elements for the control problems. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：76 / 89

页数：14

共 28 条

[1]

Ainsworth M, 2000, PUR AP M-WI, DOI 10.1002/9781118032824

[2] ERROR ESTIMATES FOR ADAPTIVE FINITE-ELEMENT COMPUTATIONS [J].