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Abstract
A numerical method for identifying the unknown point sources for a two-dimensional Poisson problem from Dirichlet boundary data is proposed. Under an assumption that the total number and estimate positions of the point sources are known, the exact positions and corresponding strengths of the distinct point sources can be identified from scattered (noisy) observed Dirichlet boundary data. Numerical verification indicated that the method is efficient and robust.
Acknowledgments
The first author was supported partially by a Postdoctoral Fellowship from the Japan Society for the Promotion of Science. The work of the second author mentioned in this article was fully supported by a grant from the Research Grants Council of the Hong Kong Special Administrative Region, China (Project No. CityU 1185/03E). The third author was supported partially by Grant 15340027 from the Japan Society for the Promotion of Science and Grant 15340015 from the Ministry of Education, Cultures, Sports and Technology.
