Geodesic
Investigation of Beltrami fields by methods of integral geometry
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 196 (2021), pp. 3-14

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In this paper, we propose a tomographic method for studying linear Beltrami fields in a bounded domain of space based on the expansion of vector fields and their ray transforms by basic vector functions. In addition, we develop a numerical algorithm and present the results of numerical simulation.
Keywords: inverse problem, Beltrami field, ray transform, vector spherical harmonic. 
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     author = {A. L. Balandin},
     title = {Investigation of {Beltrami} fields by methods of integral geometry},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {3--14},
     publisher = {mathdoc},
     volume = {196},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2021_196_a0/}
}
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A. L. Balandin. Investigation of Beltrami fields by methods of integral geometry. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 196 (2021), pp. 3-14. http://geodesic.mathdoc.fr/item/INTO_2021_196_a0/