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• W2019194872 abstract "The extended-domain-eigenfunction method (EDEM) proposed for solving elliptic boundary value problems on annular-like domains requires an inversion process. The procedure thus represents an ill-posed problem, whose numerical solution involves an ill-conditioned system of equations. In this paper, the ill-posed nature of EDEM is studied and numerical solutions based on regularization schemes are considered. It is shown that the EDEM solution methodology lends itself naturally to a formulation in terms of the well-known iterative Landweber method and the more general and faster converging semi-iterative regularization schemes. Theoretical details and numerical results of the regularization schemes are presented for the case of the two-dimensional Laplace operator on annular domains." @default.
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• W2019194872 date "2013-02-11" @default.
• W2019194872 modified "2023-09-27" @default.
• W2019194872 title "Extended-domain-eigenfunction method (EDEM): a study of ill posedness and regularization" @default.
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• W2019194872 doi "https://doi.org/10.1088/1751-8113/46/8/085207" @default.
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