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Daghestan Electronic Mathematical Reports, 2020, Issue 14, Pages 38–47
DOI: https://doi.org/10.31029/demr.14.4 (Mi demr86) 		 
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
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DOI: https://doi.org/10.31029/demr.14.4
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
Document Type: Article
UDC: 517.4
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Med20}
\by Z.~G.~Medzhidov
\paper Reconstruction of a second rank tensor field with zero trace from incomplete data
\jour Daghestan Electronic Mathematical Reports
\yr 2020
\issue 14
\pages 38--47
\mathnet{http://mi.mathnet.ru/demr86}
\crossref{https://doi.org/10.31029/demr.14.4}
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