3 papers
math.AP2022
On the unique solvability of radiative transfer equations with polarization
Vincent Bosboom, Matthias Schlottbom, Felix Schwenninger
We investigate the well-posedness of the radiative transfer equation with polarization and varying refractive index. The well-posedness analysis includes non-homogeneous boundary v…
math.NA2021
On robustly convergent and efficient iterative methods for anisotropic radiative transfer
Jürgen Dölz, Olena Palii, Matthias Schlottbom
This paper considers the iterative solution of linear systems arising from discretization of the anisotropic radiative transfer equation with discontinuous elements on the sphere.…
math.NA2019
On a convergent DSA preconditioned source iteration for a DGFEM method for radiative transfer
Olena Palii, Matthias Schlottbom
We consider the numerical approximation of the radiative transfer equation using discontinuous angular and continuous spatial approximations for the even parts of the solution. The…