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• W3195717879 endingPage "1932" @default.
• W3195717879 startingPage "1932" @default.
• W3195717879 abstract "This paper presents a stable method for the identification of sources located on the separation interface of two homogeneous media (where one of them is contained by the other one), from measurement yielded by those sources on the exterior boundary of the media. This is an ill-posed problem because numerical instability is presented, i.e., minimal errors in the measurement can result in significant changes in the solution. To obtain the proposed stable method the identification problem is categorized into three subproblems, two of which present numerical instability and regularization methods must be applied to obtain their solution in a stable form. To manage the numerical instability due to the ill-posedness of these subproblems, the Tikhonov regularization and sequential smoothing methods are used. We illustrate this methodology in a circular and irregular region to demonstrate the feasibility of the proposed method, which yields convergent and stable solutions for input data with and without noise." @default.
• W3195717879 created "2021-08-30" @default.
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• W3195717879 date "2021-08-13" @default.
• W3195717879 modified "2023-09-27" @default.
• W3195717879 title "Stable Identification of Sources Located on Interface of Nonhomogeneous Media" @default.
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• W3195717879 doi "https://doi.org/10.3390/math9161932" @default.
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