International Journal of Differential Equations
- Int. J. Differ. Equ.
- Volume 2018, Special Issue (2018), Article ID 4753792, 11 pages.
Finite Volume Element Approximation for the Elliptic Equation with Distributed Control
In this paper, we consider a priori error estimates for the finite volume element schemes of optimal control problems, which are governed by linear elliptic partial differential equation. The variational discretization approach is used to deal with the control. The error estimation shows that the combination of variational discretization and finite volume element formulation allows optimal convergence. Numerical results are provided to support our theoretical analysis.
Int. J. Differ. Equ., Volume 2018, Special Issue (2018), Article ID 4753792, 11 pages.
Received: 1 February 2018
Revised: 21 April 2018
Accepted: 3 September 2018
First available in Project Euclid: 14 December 2018
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Wang, Quanxiang; Zhao, Tengjin; Zhang, Zhiyue. Finite Volume Element Approximation for the Elliptic Equation with Distributed Control. Int. J. Differ. Equ. 2018, Special Issue (2018), Article ID 4753792, 11 pages. doi:10.1155/2018/4753792. https://projecteuclid.org/euclid.ijde/1544756580