3 papers
math.NA2024
On accelerated iterative schemes for anisotropic radiative transfer using residual minimization
Riccardo Bardin, Matthias Schlottbom
We consider the iterative solution of anisotropic radiative transfer problems using residual minimization over suitable subspaces. We show convergence of the resulting iteration us…
math.NA2024
Low-rank tensor product Richardson iteration for radiative transfer in plane-parallel geometry
Markus Bachmayr, Riccardo Bardin, Matthias Schlottbom
The radiative transfer equation (RTE) has been established as a fundamental tool for the description of energy transport, absorption and scattering in many relevant societal applic…
math.NA2022
A phase-space discontinuous Galerkin approximation for the radiative transfer equation in slab geometry
Riccardo Bardin, Fleurianne Bertrand, Olena Palii +1
We derive and analyze a symmetric interior penalty discontinuous Galerkin scheme for the approximation of the second-order form of the radiative transfer equation in slab geometry.…