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• W307205904 abstract "We consider point source approximation methods for the solution of inverse object reconstruction problems for the Laplace and the Helmholtz equation. We present a two-step algorithm to reconstruct the neighbourhood of the obstacle by a proper choice of approximation domains, first. Then we reconstruct the obstacle in the second step of the algorithm by varying the approximation domains adaptively. We formulate this two-step algorithm for the point source method, the singular sources method and the probe method. Moreover we show numerical examples both for the Laplace and the Helmholtz equation in two and three dimensions, respectively. Finally, we compare the point source approximation methods with the factorisation and the linear sampling method both for exact data and noisy data." @default.
• W307205904 created "2016-06-24" @default.
• W307205904 creator A5022994224 @default.
• W307205904 date "2022-02-20" @default.
• W307205904 modified "2023-10-14" @default.
• W307205904 title "Point Source Approximation Methods in Inverse Obstacle Reconstruction Problems" @default.
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• W307205904 doi "https://doi.org/10.53846/goediss-2518" @default.
• W307205904 hasPublicationYear "2022" @default.
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