REGULARIZATION FOR SURFACE REPRESENTATIONS OF DISCONTINUOUS SOLUTIONS OF LINEAR ILL-POSED PROBLEMS

In this paper we deal with a regularization method for ill-posed problems well-suited for solutions with discontinuities, regularization for surface representations. It is a generalization of the recently developed method regularization for curve representations, which has been successfully applied...

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Bibliographic Details
Published inNumerical functional analysis and optimization Vol. 22; no. 1-2; pp. 79 - 105
Main Authors Kindermann, Stefan, Neubauer, Andreas
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 31.03.2001
Subjects
AMS Subject Classifications: 65J15, 65J20, 47H15
Discontinuous solutions
Ill-posed problems
Nonlinear Tikhonov regularization
Regularization for surface and curve representations
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ISSN0163-0563
1532-2467
DOI10.1081/NFA-100103789

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Summary:In this paper we deal with a regularization method for ill-posed problems well-suited for solutions with discontinuities, regularization for surface representations. It is a generalization of the recently developed method regularization for curve representations, which has been successfully applied to linear and nonlinear one-dimensional ill-posed problems, to two-dimensional problems. We prove convergence of the finite-dimensional Tikhonov regularized solutions and present some numerical results. * Supported by the Fonds zur Förderung der wissenschaftlichen Forschung under grant P13130-TEC.
ISSN:0163-0563
1532-2467
DOI:10.1081/NFA-100103789