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This article is cited in 1 scientific paper (total in 1 paper)
Reconstruction of a second rank tensor field with zero trace from incomplete data
Z. G. Medzhidovab a Dagestan Federal Research Centre of Russian Academy of Sciences, Makhachkala
b Daghestan State University, Makhachkala
Abstract:
An algorithm for the complete reconstruction of a tensor field of rank 2 in three-dimensional Euclidean space on incomplete integral data is constructed. The solenoid part of the field is constructed using linear integrals on straight lines that intersect a curve at infinity, and the displacement field is constructed using the traceless normal ray integrals.
Keywords:
ray transform, second-rank tensor field, reconstruction, Saint-Venant operator, displacement field, traceless normal part.
Received: 31.08.2020 Revised: 22.12.2020 Accepted: 22.12.2020
Citation:
Z. G. Medzhidov, “Reconstruction of a second rank tensor field with zero trace from incomplete data”, Daghestan Electronic Mathematical Reports, 2020, no. 14, 38–47
Linking options:
https://www.mathnet.ru/eng/demr86 https://www.mathnet.ru/eng/demr/y2020/i14/p38
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Abstract page: | 46 | Full-text PDF : | 7 | References: | 7 |
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