Convexification for a CIP for the RTE]{Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation
Numerical Analysis
2022-06-24 v1 Numerical Analysis
Abstract
An 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.
Keywords
Cite
@article{arxiv.2206.11675,
title = {Convexification for a CIP for the RTE]{Convexification Numerical Method for a Coefficient Inverse Problem for the Radiative Transport Equation},
author = {Michael V. Klibanov and Jingzhi Li and Loc H. Nguyen and Zhipeng Yang},
journal= {arXiv preprint arXiv:2206.11675},
year = {2022}
}