Central difference regularization method for inverse source problem on the Poisson equation |
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Authors: | Jingjun Zhao Songshu Liu |
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Institution: | Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China. |
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Abstract: | In this paper, we consider an inverse problem of determining an unknown source for the Poisson equation. Since this problem is mildly ill-posed, we apply a central difference regularization method to solve this problem. Furthermore, the convergence estimate is established under a priori choice of the regularization parameter. Some numerical results verify that the proposed method is stable and effective. |
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Keywords: | ill-posed problem central difference regularization method unknown source Poisson equation |
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