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

被引：0
|
作者：
YanPing Chen
YunQing Huang
NianYu Yi
机构：
[1] South China Normal University,School of Mathematical Sciences
[2] Xiangtan University,Hunan Key Laboratory for Computation and Simulation in Science and Engineering, School of Mathematics and Computational Science
来源：
Science in China Series A: Mathematics | 2008年 / 51卷
关键词：
Legendre Galerkin spectral method; optimal control problems; parabolic state equations; a posteriori error estimates; 49J20; 65M60; 65M70;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：1376 / 1390
页数：14
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