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

Abstract

. An ( n + 1) − D coefficient inverse problem for the radiative stationary transport equation is considered for the first time. A globally conver- gent 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. Exten-sive numerical studies in the 2-D case are presented. Our are the source along an interval of a line and the data are only at a part of the boundary of the of is unlike the classical case of X-ray tomography when the runs all around and the are on the