Numerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality
Joint Authors
Tarzia, Domingo A.
Olguín, Mariela
Source
International Journal of Differential Equations
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-11-23
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
The objective of this work is to make the numerical analysis, through the finite element method with Lagrange’s triangles of type 1, of a continuous optimal control problem governed by an elliptic variational inequality where the control variable is the internal energy g.
The existence and uniqueness of this continuous optimal control problem and its associated state system were proved previously.
In this paper, we discretize the elliptic variational inequality which defines the state system and the corresponding cost functional, and we prove that there exist a discrete optimal control and its associated discrete state system for each positive h (the parameter of the finite element method approximation).
Finally, we show that the discrete optimal control and its associated state system converge to the continuous optimal control and its associated state system when the parameter h goes to zero.
American Psychological Association (APA)
Olguín, Mariela & Tarzia, Domingo A.. 2015. Numerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality. International Journal of Differential Equations،Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1065506
Modern Language Association (MLA)
Olguín, Mariela & Tarzia, Domingo A.. Numerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality. International Journal of Differential Equations No. 2015 (2015), pp.1-7.
https://search.emarefa.net/detail/BIM-1065506
American Medical Association (AMA)
Olguín, Mariela & Tarzia, Domingo A.. Numerical Analysis of a Distributed Optimal Control Problem Governed by an Elliptic Variational Inequality. International Journal of Differential Equations. 2015. Vol. 2015, no. 2015, pp.1-7.
https://search.emarefa.net/detail/BIM-1065506
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1065506