A fast algorithm for radiative transport in isotropic media

@article{Ren2016AFA,
  title={A fast algorithm for radiative transport in isotropic media},
  author={Kui Ren and Rongting Zhang and Yimin Zhong},
  journal={ArXiv},
  year={2016},
  volume={abs/1610.00835}
}
We propose in this work a fast numerical algorithm for solving the equation of radiative transfer (ERT) in isotropic media. The algorithm has two steps. In the first step, we derive an integral equation for the angularly averaged ERT solution by taking advantage of the isotropy of the scattering kernel, and solve the integral equation with a fast multipole method (FMM). In the second step, we solve a scattering-free transport equation to recover the original ERT solution. Numerical simulations… CONTINUE READING
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References

Publications referenced by this paper.
SHOWING 1-10 OF 66 REFERENCES

The black-box fast multipole method

  • J. Comput. Physics
  • 2009
VIEW 5 EXCERPTS
HIGHLY INFLUENTIAL

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