A Posteriori Error Estimates for a Semidiscrete Parabolic Integrodifferential Control on Multimeshes
Author
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-24
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
We extend the existing techniques to study semidiscrete adaptive finite element approximation schemes for a constrained optimal control problem governed by parabolic integrodifferential equations.
The control problem involves time accumulation and the control constrain is given in an integral obstacle sense.
We first prove the uniqueness and existence of the solution of this optimal control problem.
We then derive the upper a posteriori error estimators for both the state and the control approximation, which are useful indicators in adaptive multimesh finite element approximation schemes.
American Psychological Association (APA)
Shen, Wanfang. 2012. A Posteriori Error Estimates for a Semidiscrete Parabolic Integrodifferential Control on Multimeshes. Discrete Dynamics in Nature and Society،Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-474986
Modern Language Association (MLA)
Shen, Wanfang. A Posteriori Error Estimates for a Semidiscrete Parabolic Integrodifferential Control on Multimeshes. Discrete Dynamics in Nature and Society No. 2012 (2012), pp.1-24.
https://search.emarefa.net/detail/BIM-474986
American Medical Association (AMA)
Shen, Wanfang. A Posteriori Error Estimates for a Semidiscrete Parabolic Integrodifferential Control on Multimeshes. Discrete Dynamics in Nature and Society. 2012. Vol. 2012, no. 2012, pp.1-24.
https://search.emarefa.net/detail/BIM-474986
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474986