Finite Volume Element Approximation for the Elliptic Equation with Distributed Control
Joint Authors
Wang, Quanxiang
Zhao, Tengjin
Zhang, Zhiyue
Source
International Journal of Differential Equations
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-01
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Wang, Quanxiang& Zhao, Tengjin& Zhang, Zhiyue. 2018. Finite Volume Element Approximation for the Elliptic Equation with Distributed Control. International Journal of Differential Equations،Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170770
Modern Language Association (MLA)
Wang, Quanxiang…[et al.]. Finite Volume Element Approximation for the Elliptic Equation with Distributed Control. International Journal of Differential Equations No. 2018 (2018), pp.1-11.
https://search.emarefa.net/detail/BIM-1170770
American Medical Association (AMA)
Wang, Quanxiang& Zhao, Tengjin& Zhang, Zhiyue. Finite Volume Element Approximation for the Elliptic Equation with Distributed Control. International Journal of Differential Equations. 2018. Vol. 2018, no. 2018, pp.1-11.
https://search.emarefa.net/detail/BIM-1170770
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1170770
