论文标题

rte的CIP的凸化]

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

论文作者

Klibanov, Michael V., Li, Jingzhi, Nguyen, Loc H., Yang, Zhipeng

论文摘要

首次考虑辐射固定运输方程的$ \ left(n+1 \右) - $ d系数的逆问题。开发了全球收敛的所谓凸数数值\方法,并提供了其收敛分析。该分析基于卡尔曼估计。特别是,收敛分析意味着某种独特定理。提出了2-D病例中的广泛数值研究。

An $\left( n+1\right) -$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.

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