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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 154–174
DOI: https://doi.org/10.17377/semi.2016.13.014 (Mi semr664) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Computational mathematics

Numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from its normal Radon transform

A. P. Polyakovaab, I. E. Svetovab

a Sobolev Institute of Mathematics, pr. Koptyuga, 4, 630090, Novosibirsk, Russia
b Novosibirsk State University, st. Pirogova, 2, 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.014
Abstract: We propose a numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from the known values of the normal Radon transform. The algorithm is based on the method of truncated singular value decomposition. Numerical simulations confirm that the proposed method yields good results of reconstruction of potential symmetric 2-tensor fields.
Keywords: tensor tomography, potential symmetric 2-tensor field, operator of inner differentiation, normal Radon transform, approximation, truncated singular value decomposition, orthogonal polynomials.
Funding agency Grant number
Russian Foundation for Basic Research 14-01-31491_мол_а
Received December 13, 2015, published March 16, 2016
Bibliographic databases:
Document Type: Article
UDC: 514.8:517.983:519.6
MSC: 44A30
Language: Russian
Citation: A. P. Polyakova, I. E. Svetov, “Numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from its normal Radon transform”, Sib. Èlektron. Mat. Izv., 13 (2016), 154–174
Citation in format AMSBIB
\Bibitem{PolSve16}
\by A.~P.~Polyakova, I.~E.~Svetov
\paper Numerical solution of reconstruction problem of a potential symmetric 2-tensor field in a ball from its normal Radon transform
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 154--174
\mathnet{http://mi.mathnet.ru/semr664}
\crossref{https://doi.org/10.17377/semi.2016.13.014}
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