A posteriori error estimates of spectral method for optimal control problems governed by parabolic equations

被引：28

作者：

Chen YanPing ^{[2
]}

Huang YunQing ^{[1
]}

Yi NianYu ^{[1
]}

机构：

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

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

SCIENCE IN CHINA SERIES A-MATHEMATICS | 2008年 / 51卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Legendre Galerkin spectral method; optimal control problems; parabolic state equations; a posteriori error estimates;

D O I：

10.1007/s11425-008-0097-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

In this paper, we investigate the Legendre Galerkin spectral approximation of quadratic optimal control problems governed by parabolic equations. A spectral approximation scheme for the parabolic optimal control problem is presented. We obtain a posteriori error estimates of the approximated solutions for both the state and the control.

引用

页码：1376 / 1390

页数：15

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[2]

CHEN Y, INT J NUM M IN PRESS

[3]

CHEN Y, 2002, RECENT PROGR COMPUTA, P123

[4]

Legendre-Galerkin spectral method for optimal control problems governed by elliptic equations [J].