Abstract
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.
Original language | English |
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Pages (from-to) | 157-167 |
Number of pages | 11 |
Journal | Journal of Applied and Industrial Mathematics |
Volume | 13 |
Issue number | 1 |
DOIs | |
Publication status | Published - 1 Jan 2019 |
Keywords
- adjoint operator
- method of approximate inverse
- potential
- Radon transform
- ray transform
- tensor field
- tensor tomography
OECD FOS+WOS
- 1.01 MATHEMATICS