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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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1569-3945
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Estimation of discontinuous solutions of ill-posed problems via adaptive grid regularization

A. Neubauer

Institut für Industriemathematik, Johannes-Kepler-Universität, A-4040 Linz, Austria. E-mail:

Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 14, Issue 7, Pages 705–716, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/156939406779801960,

Publication History

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In this paper we treat a new regularization method which is well-suited for ill-posed problems with discontinuous solutions: adaptive grid regularization. After describing the method we present several numerical examples showing that this method is a powerful tool to identify discontinuities in ill-posed problems.

Citing Articles

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[1]
Andreas Neubauer
Numerical Functional Analysis and Optimization, 2007, Volume 28, Number 3-4, Page 405
[2]
Shuai Lu and Sergei V Pereverzev
Journal of Physics: Conference Series, 2008, Volume 135, Page 012066
[3]
V. V. Vasin
Journal of Inverse and Ill-posed Problems, 2007, Volume 15, Number 6
[4]
Shuai Lu and Sergei V. Pereverzev
Numerische Mathematik, 2009, Volume 112, Number 3, Page 403

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