@Article{AAMM-5-688, author = {Luo , XianbingChen , Yanping and Huang , Yunqing}, 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 = {

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.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.12-m1296}, url = {http://global-sci.org/intro/article_detail/aamm/92.html} }