О восстановлении тензорного поля второго ранга с нулевым следом по неполным данным | Zendy

Zyaudin Medzhidov | Zendy

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О восстановлении тензорного поля второго ранга с нулевым следом по неполным данным

Author(s) -

Zyaudin Medzhidov

Publication year - 2020

Publication title -

daghestan electronic mathematical reports

Language(s) - English

Resource type - Journals

ISSN - 2500-3240

DOI - 10.31029/demr.14.4

Subject(s) - mathematics , tensor field , mathematical analysis , rank (graph theory) , field (mathematics) , displacement field , euclidean space , geometry , pure mathematics , physics , combinatorics , exact solutions in general relativity , finite element method , thermodynamics

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.

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