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Adaptive Mixed Finite Element Methods for Parabolic Optimal Control Problems
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-21, 21 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-28
Country of Publication
Egypt
No. of Pages
21
Main Subjects
Abstract EN
We will investigate the adaptive mixed finite element methods for parabolic optimal control problems.
The state and the costate are approximated by the lowest-order Raviart-Thomas mixed finite element spaces, and the control is approximated by piecewise constant elements.
We derive a posteriori error estimates of the mixed finite element solutions for optimal control problems.
Such a posteriori error estimates can be used to construct more efficient and reliable adaptive mixed finite element method for the optimal control problems.
Next we introduce an adaptive algorithm to guide the mesh refinement.
A numerical example is given to demonstrate our theoretical results.
American Psychological Association (APA)
Lu, Zuliang. 2011. Adaptive Mixed Finite Element Methods for Parabolic Optimal Control Problems. Mathematical Problems in Engineering،Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-455406
Modern Language Association (MLA)
Lu, Zuliang. Adaptive Mixed Finite Element Methods for Parabolic Optimal Control Problems. Mathematical Problems in Engineering No. 2011 (2011), pp.1-21.
https://search.emarefa.net/detail/BIM-455406
American Medical Association (AMA)
Lu, Zuliang. Adaptive Mixed Finite Element Methods for Parabolic Optimal Control Problems. Mathematical Problems in Engineering. 2011. Vol. 2011, no. 2011, pp.1-21.
https://search.emarefa.net/detail/BIM-455406
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455406