TY - JOUR
T1 - A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems
AU - Luo , Xianbing
AU - Chen , Yanping
AU - Huang , Yunqing
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 688
EP - 704
PY - 2013
DA - 2013/05
SN - 5
DO - http://doi.org/10.4208/aamm.12-m1296
UR - https://global-sci.org/intro/article_detail/aamm/92.html
KW - Variational discretization, parabolic optimal control problems, finite volume element
method, distributed control, Crank-Nicolson.
AB - <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>