Convexification for a CIP for the RTE]Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation

06/23/2022

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by   Michael V. Klibanov, et al.

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An ( n+1) -D coefficient inverse problem for the radiative stationary transport equation is considered for the first time. A globally convergent so-called convexification numerical method is developed and its convergence analysis is provided. The analysis is based on a Carleman estimate. In particular, convergence analysis implies a certain uniqueness theorem. Extensive numerical studies in the 2-D case are presented.