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Random sampling has been used to find low-rank structure and to build fastdirect solvers for multiscale partial differential equations of various types.In this work, we design an accelerated Schwarz method for radiative transferequations that makes use of approximate local solution maps constructed offlinevia a random sampling strategy. Numerical examples demonstrate the accuracy,robustness, and efficiency of the proposed approach.

A low-rank Schwarz method for radiative transport equation with heterogeneous scattering coefficient