Solution of multi-dimensional radiative transfer problems on parallel computers

This paper describes the whole process of solving monochromatic multidimensional radiative transfer problems. First, the mathematical model is given with some remarks on coefficient functions in astrophysics and mathematical analysis. Then, a suitable discretization method is presented together with the concept of residual based a posteriori error estimates and adaptive grid refinement in 2D and 3D. The resulting linear system has the eigenvalue structure to be solved by the GMRES or bicgstab algorithm. Ordinate parallelization is shown to be well compatible with locally refined grids. It's parallel efficiency is analyzed and demonstrated with examples.