A Posteriori Regularization Parameter Choice Rule for Truncation Method for Identifying the Unknown Source of the Poisson Equation
Joint Authors
Source
International Journal of Partial Differential Equations
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-19
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We consider the problem of determining an unknown source which depends only on one variable in two-dimensional Poisson equation.
We prove a conditional stability for this problem.
Moreover, we propose a truncation regularization method combined with an a posteriori regularization parameter choice rule to deal with this problem and give the corresponding convergence estimate.
Numerical results are presented to illustrate the accuracy and efficiency of this method.
American Psychological Association (APA)
Li, Xiao-Xiao& Li, Dun-Gang. 2013. A Posteriori Regularization Parameter Choice Rule for Truncation Method for Identifying the Unknown Source of the Poisson Equation. International Journal of Partial Differential Equations،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-483274
Modern Language Association (MLA)
Li, Xiao-Xiao& Li, Dun-Gang. A Posteriori Regularization Parameter Choice Rule for Truncation Method for Identifying the Unknown Source of the Poisson Equation. International Journal of Partial Differential Equations No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-483274
American Medical Association (AMA)
Li, Xiao-Xiao& Li, Dun-Gang. A Posteriori Regularization Parameter Choice Rule for Truncation Method for Identifying the Unknown Source of the Poisson Equation. International Journal of Partial Differential Equations. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-483274
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483274
