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Inverse Source Identification by the Modified Regularization Method on Poisson Equation
Joint Authors
Li, XiaoXiao
Guo, HengZhen
Yang, Fan
Wan, Shi Min
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-01-18
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
This paper deals with an inverse problem for identifying an unknown source which depends only on one variable in two-dimensional Poisson equation, with the aid of an extra measurement at an internal point.
Since this problem is illposed, we obtain the regularization solution by the modified regularization method.
Furthermore, we obtain the Hölder-type error estimate between the regularization solution and the exact solution.
The numerical results show that the proposed method is stable and the unknown source is recovered very well.
American Psychological Association (APA)
Li, XiaoXiao& Guo, HengZhen& Wan, Shi Min& Yang, Fan. 2012. Inverse Source Identification by the Modified Regularization Method on Poisson Equation. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029065
Modern Language Association (MLA)
Li, XiaoXiao…[et al.]. Inverse Source Identification by the Modified Regularization Method on Poisson Equation. Journal of Applied Mathematics No. 2012 (2012), pp.1-13.
https://search.emarefa.net/detail/BIM-1029065
American Medical Association (AMA)
Li, XiaoXiao& Guo, HengZhen& Wan, Shi Min& Yang, Fan. Inverse Source Identification by the Modified Regularization Method on Poisson Equation. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-13.
https://search.emarefa.net/detail/BIM-1029065
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1029065