A fast multigrid algorithm for isotropic transport problems .2. With absorption Academic Article uri icon


  • A multigrid method for solving the one-dimensional slab-geometry SN equations with isotropic scattering and absorption is presented. The case with no absorption was treated in part I of this paper [Manteuffel, McCormick, Morel, Oliveira, and Yang, SIAM J. Sci. Comput., 16 (1995), pp. 601-635]. Relaxation is based on a two-cell inversion, which is very efficient because it takes advantage of the structure of the two-cell problem. For interpolation we use kinked linear elements. The kink is based on the amount of absorption present. The restriction operator is full weighting. Numerical results show this algorithm to be faster than diffusion synthetic acceleration (DSA) in all regimes. This scheme is also well suited for massively parallel computer architectures.

published proceedings


author list (cited authors)

  • Manteuffel, T., McCormick, S., Morel, J., & Yang, G.

citation count

  • 12

complete list of authors

  • Manteuffel, T||McCormick, S||Morel, J||Yang, G

publication date

  • November 1996