Space Mapping and Optimal Control of Radiative Transfer

Abstract

Optimal control problems in radiative transfer are solved by means of the space mapping technique. Exploiting a hierarchy of approximate models, this allows for the construction of fast numerical algorithms.

Space mapping-based receding horizon control for stochastic interacting particle systems: dogs herding sheep

“…The space mapping approach first came up in the engineering community [5] as a tool to solve large scale optimization problems with the help of an easier surrogate model. Through the years the technique became well-established in engineering and has been also recognized by the mathematics community for various applications like radiative heat transfer, control the dispersion of particles in a fluid, dynamic compressor optimization of gas networks and optimal inflow control of transmission lines, see, e.g., [19,23,25,26,29,31,35].…”

Space mapping-based Receding Horizon Control for Stochastic Interacting Particle Systems: dogs herding sheep

“…The space mapping approach first came up in the engineering community [5] as tool to solve large scale optimization problems with the help of an easier surrogate model. Through the years the technique became well-established in engineering and has been also recognized by the mathematics community for various applications like radiative heat transfer, control the dispersion of particles in a fluid, dynamic compressor optimization of gas networks and optimal inflow control of transmission lines, see, e.g., [19,26,23,29,25,30,34].…”