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A. Neubauer

Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization

Keywords: ill-posed problems, integral equations, regularization methods, adaptive grid regularization, adaptive grids

In this paper we apply the new regularization method adaptive grid regularization, which is well-suited for ill-posed problems with discontinuous solutions and which was introduced in an earlier paper [5], to 2D linear integral equations of the first kind. After describing the method we present some numerical examples showing that this method is a powerful tool to identify discontinuities in ill-posed problems.

Journal of Inverse and Ill-posed Problems, Walter de Gruyter

Print ISSN: 0928-0219
Volume: 15, 04/2007
Pages: 99 - 106

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