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Inverse source identification for Poisson equation

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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.
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Keywords: AMS 1991 Subject Classifications:; Inverse problem; Point mass model; Poisson equation; Primary 15A29; Secondary 35J05; Sources identification

Document Type: Research Article

Affiliations: 1: Department of Mathematical Sciences, University of Tokyo, Japan 2: Department of Mathematics, City University of Hong Kong, Hong Kong

Publication date: 01 August 2005

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