Singular value decomposition in an inverse source problem

An inverse source problem for the wave equation with additional information measured on some parts of the boundary is considered. The degree of ill-posedness of the inverse problem is investigated. A numerical algorithm based on the SVD of a discrete inverse problem is constructed and tested.

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Bibliographic Details
Published inNumerical analysis and applications Vol. 5; no. 2; pp. 168 - 174
Main Authors Kabanikhin, S. I., Krivorot’, O. I.
Format Journal Article
LanguageEnglish
Published Dordrecht SP MAIK Nauka/Interperiodica 01.04.2012
Subjects
Mathematics
Mathematics and Statistics
Numerical Analysis
inverse source problem
degree of ill-posedness
singular value decomposition
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ISSN1995-4239
1995-4247
DOI10.1134/S1995423912020115

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Summary:An inverse source problem for the wave equation with additional information measured on some parts of the boundary is considered. The degree of ill-posedness of the inverse problem is investigated. A numerical algorithm based on the SVD of a discrete inverse problem is constructed and tested.
ISSN:1995-4239
1995-4247
DOI:10.1134/S1995423912020115