A Mixed Discontinuous Galerkin Approximation of Time Dependent Convection Diffusion Optimal Control Problem
Joint Authors
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-02-21
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, we investigate a mixed discontinuous Galerkin approximation of time dependent convection diffusion optimal control problem with control constraints based on the combination of a mixed finite element method for the elliptic part and a discontinuous Galerkin method for the hyperbolic part of the state equation.
The control variable is approximated by variational discretization approach.
A priori error estimates of the state, adjoint state, and control are derived for both semidiscrete scheme and fully discrete scheme.
Numerical example is given to show the effectiveness of the numerical scheme.
American Psychological Association (APA)
Xu, Qingjin& Zhou, Zhaojie. 2017. A Mixed Discontinuous Galerkin Approximation of Time Dependent Convection Diffusion Optimal Control Problem. Journal of Mathematics،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1182388
Modern Language Association (MLA)
Xu, Qingjin& Zhou, Zhaojie. A Mixed Discontinuous Galerkin Approximation of Time Dependent Convection Diffusion Optimal Control Problem. Journal of Mathematics No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1182388
American Medical Association (AMA)
Xu, Qingjin& Zhou, Zhaojie. A Mixed Discontinuous Galerkin Approximation of Time Dependent Convection Diffusion Optimal Control Problem. Journal of Mathematics. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1182388
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1182388