Year: 2013
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 697–711
Abstract
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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2013-IJNAM-590
International Journal of Numerical Analysis and Modeling, Vol. 10 (2013), Iss. 3 : pp. 697–711
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 15
Keywords: finite volume element method variational discretization optimal control problems elliptic equation distributed control.