Asymptotic and discrete concepts for optimal control in radiative transfer

Abstract

AbstractOptimal control problems for the radiative transfer equation and for approximate models are considered. Following the approach first discretize, then optimize, the discrete SPN approximations are for the first time derived exactly and used for the study of optimal control based on reduced order models. Moreover, combining asymptotic analysis and the adjoint calculus yields diffusion‐type approximations for the adjoint radiative transport equation in the spirit of the approach first optimize, then discretize.