The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields

Two approaches are proposed for recovering a symmetric m -tensor field in a unit disk from the given values of ray transforms. The approaches are based on the method of approximate inverse. The first approach allows us to reconstruct all components of the tensor field, while the second recovers the...

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Veröffentlicht in:Journal of applied and industrial mathematics 2019, Vol.13 (1), p.157-167
Hauptverfasser: Svetov, I. E., Polyakova, A. P., Maltseva, S. V.
Format: Artikel
Sprache:eng
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Zusammenfassung:Two approaches are proposed for recovering a symmetric m -tensor field in a unit disk from the given values of ray transforms. The approaches are based on the method of approximate inverse. The first approach allows us to reconstruct all components of the tensor field, while the second recovers the potentials of the solenoidal part and m potential parts of the tensor field.
ISSN:1990-4789
1990-4797
DOI:10.1134/S1990478919010162