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Inverse source identification for Poisson equation. (English) Zbl 1194.65130
Summary: 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.
MSC:
65N21Inverse problems (BVP of PDE, numerical methods)