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Items for "regularization methods"

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

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...

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

04/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter
On the ill-posedness and regularization of third-kind integral equations

Linear integral equations of the third kind usually lead to ill-posed inverse problems if the normed solution space X and the normed data space Y are required to be equal...

Keywords: ill-posed problems, regularization methods, linear integral equations, boundary value problems, compactly disturbed multiplication operators

07/2007 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter
Solving constraint ill-posed problems using GinzburgLandau regularization functionals

We consider constrained ill-posed operator equations. The constraints are such that in one case we restrict the domain to functions which are piecewise constant...

Keywords: ill-posed problems, regularization methods, inverse conductivity

01/2008 | Journal of Inverse and Ill-posed Problems, Walter de Gruyter