A low-rank Schwarz method for radiative transport equation with
heterogeneous scattering coefficient
Random sampling has been used to find low-rank structure and to build fast
direct solvers for multiscale partial differential equations of various types.
In this work, we design an accelerated Schwarz method for radiative transfer
equations that makes use of approximate local solution maps constructed offline
via a random sampling strategy. Numerical examples demonstrate the accuracy,
robustness, and efficiency of the proposed approach.