@Article{EAJAM-1-235,
author = {Chen , Yanping and Tang , Yuelong},
title = {Numerical Methods for Constrained Elliptic Optimal Control Problems with Rapidly Oscillating Coefficients},
journal = {East Asian Journal on Applied Mathematics},
year = {2018},
volume = {1},
number = {3},
pages = {235--247},
abstract = {<p style="text-align: justify;">In this paper we use two numerical methods to solve constrained optimal
control problems governed by elliptic equations with rapidly oscillating coefficients: one
is finite element method and the other is multiscale finite element method. We derive
the convergence analysis for those two methods. Analytical results show that finite
element method can not work when the parameter $\varepsilon$ is small enough, while multiscale
finite element method is useful for any parameter <span style="text-align: justify;">$\varepsilon$</span>.</p>},
issn = {2079-7370},
doi = {https://doi.org/10.4208/eajam.071010.250411a},
url = {http://global-sci.org/intro/article_detail/eajam/10906.html}
}