@Article{IJNAM-10-697,
author = {X. Luo, Y. Chen and Y. Huang},
title = {Some Error Estimates of Finite Volume Element Approximation for Elliptic Optimal Control Problems},
journal = {International Journal of Numerical Analysis and Modeling},
year = {2013},
volume = {10},
number = {3},
pages = {697--711},
abstract = {<p style="text-align: justify;">In this paper, finite volume element method is applied to solve the distributed optimal
control problems governed by an elliptic equation. We use the method of variational discretization
concept to approximate the problems. The optimal order error estimates in $L^2$ and $L^∞$-norm are
derived for the state, costate and control variables. The optimal $H^1$ and $W^{1,∞}$-norm error estimates
for the state and costate variables are also obtained. Numerical experiments are presented
to test the theoretical results.</p>},
issn = {2617-8710},
doi = {https://doi.org/},
url = {http://global-sci.org/intro/article_detail/ijnam/590.html}
}