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.
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Computation of discontinuous solutions of 2D linear ill-posed integral equations via adaptive grid regularization
A. Neubauer
1Institut für Industriemathematik, Johannes-Kepler-Universität, A-4040 Linz, Austria.
2Email: neubauer@indmath.uni-linz.ac.at
Citation Information: Journal of Inverse and Ill-posed Problems jiip. Volume 15, Issue 1, Pages 99–106, ISSN (Online) 1569-3953, ISSN (Print) 0928-0219, DOI: 10.1515/JIIP.2007.005, May 2007
Publication History:
- Published Online:
- 2007-05-31
Key Words: ill-posed problems,; integral equations,; regularization methods,; adaptive grid regularization,; adaptive grids.
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