The Method of Approximate Inverse for Ray Transform Operators on Two-Dimensional Symmetric m-Tensor Fields

Autor:	I. E. Svetov, S. V. Maltseva, A. P. Polyakova
Rok vydání:	2019
Předmět:	Solenoidal vector field Field (physics) Applied Mathematics Mathematical analysis Inverse Unit disk Industrial and Manufacturing Engineering Mathematics Tensor field
Zdroj:	Journal of Applied and Industrial Mathematics. 13:157-167
ISSN:	1990-4797 1990-4789
DOI:	10.1134/s1990478919010162
Popis:	Two approaches are proposed for recovering a symmetric m-tensor field in a unit disk from the given values of ray transforms. The approaches are based on the method of approximate inverse. The first approach allows us to reconstruct all components of the tensor field, while the second recovers the potentials of the solenoidal part and m potential parts of the tensor field.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ee8633ab0387e4738a0d8a3221db9c02 https://doi.org/10.1134/s1990478919010162 Zobrazit plný text záznamu Full text from SpringerLink