@Article{AAMM-8-3,
author = {Huang, Fenglin and Yanping, Chen and Xiulian, Shi},
title = {Equivalent a Posteriori Error Estimator of Spectral Approximation for Control Problems with Integral Control-State Constraints in One Dimension},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2016},
volume = {8},
number = {3},
pages = {464--484},
abstract = {<p style="text-align: justify;">In this paper, we investigate the Galerkin spectral approximation for elliptic
control problems with integral control and state constraints. Firstly, an a posteriori error
estimator is established, which can be acted as the equivalent indicator with explicit
expression. Secondly, appropriate base functions of the discrete spaces make it probable
to solve the discrete system. Numerical test indicates the reliability and efficiency
of the estimator, and shows the proposed method is competitive for this class of control
problems. These discussions can certainly be extended to two- and three-dimensional
cases.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.2014.m591},
url = {https://global-sci.com/article/73341/equivalent-a-posteriori-error-estimator-of-spectral-approximation-for-control-problems-with-integral-control-state-constraints-in-one-dimension}
}