@Article{AAMM-5-5,
author = {Xianbing, Luo and Yanping, Chen and Yunqing, Huang},
title = {A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2013},
volume = {5},
number = {5},
pages = {688--704},
abstract = {<p style="text-align: justify;">In this paper, the Crank-Nicolson linear finite volume element
method is applied to solve the distributed optimal control problems
governed by a parabolic equation. The optimal convergent order $\mathcal{O}(h^2+k^2)$ is obtained for the numerical solution in a discrete $L^2$-norm. A numerical experiment is presented to test the
theoretical result.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.12-m1296},
url = {https://global-sci.com/article/73515/a-priori-error-estimates-of-crank-nicolson-finite-volume-element-method-for-parabolic-optimal-control-problems}
}