A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems
Year: 2013
Author: Xianbing Luo, Yanping Chen, Yunqing Huang
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 5 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.12-m1296
Advances in Applied Mathematics and Mechanics, Vol. 5 (2013), Iss. 5 : pp. 688–704
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Variational discretization parabolic optimal control problems finite volume element method distributed control Crank-Nicolson.
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