Inverse Source Identification by the Modified Regularization Method on Poisson Equation
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 regulari...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/971952 |
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| _version_ | 1849415165899964416 |
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| author | Xiao-Xiao Li Heng Zhen Guo Shi Min Wan Fan Yang |
| author_facet | Xiao-Xiao Li Heng Zhen Guo Shi Min Wan Fan Yang |
| author_sort | Xiao-Xiao Li |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-586fde41e3954efbabca2fd64ff93b28 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-586fde41e3954efbabca2fd64ff93b282025-08-20T03:33:36ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/971952971952Inverse Source Identification by the Modified Regularization Method on Poisson EquationXiao-Xiao Li0Heng Zhen Guo1Shi Min Wan2Fan Yang3School of Science, Lanzhou University of Technology, Lanzhou 730050, ChinaInstitute of Education, Lanzhou City University, Lanzhou 730070, ChinaDepartment of Fundamental Subject, Tianjin Institute of Urban Construction, Tianjin 300384, ChinaSchool of Science, Lanzhou University of Technology, Lanzhou 730050, ChinaThis 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.http://dx.doi.org/10.1155/2012/971952 |
| spellingShingle | Xiao-Xiao Li Heng Zhen Guo Shi Min Wan Fan Yang Inverse Source Identification by the Modified Regularization Method on Poisson Equation Journal of Applied Mathematics |
| title | Inverse Source Identification by the Modified Regularization Method on Poisson Equation |
| title_full | Inverse Source Identification by the Modified Regularization Method on Poisson Equation |
| title_fullStr | Inverse Source Identification by the Modified Regularization Method on Poisson Equation |
| title_full_unstemmed | Inverse Source Identification by the Modified Regularization Method on Poisson Equation |
| title_short | Inverse Source Identification by the Modified Regularization Method on Poisson Equation |
| title_sort | inverse source identification by the modified regularization method on poisson equation |
| url | http://dx.doi.org/10.1155/2012/971952 |
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