An approach to direct reconstruction of a solenoidal part in vector and tensor tomography problems. (English) Zbl 1098.53011
The authors consider the problem of reconstruction of vector and 2-tensor fields, given in a refracting medium. Using the least square method the approach of direct reconstruction of solenoidal parts of original vector and 2-tensor fields in terms of certain solenoidal bases of polynomial type is exploited. The problems of existence, uniqueness and convergence of approximation obtained are solved. The results of numerical simulation are presented and discussed.
Reviewer: Jagdish Prakash (Mumbai)
Keywords:
tensor tomography problemsReferences:
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