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

abstract

• 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.

authors

• Morel, Jim

published proceedings

• SIAM JOURNAL ON SCIENTIFIC COMPUTING

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

publisher

• Society for Industrial & Applied Mathematics (SIAM)  Publisher

published in

• SIAM Journal on Scientific Computing  Journal

keywords

• Multigrid
• Particle Transport

Digital Object Identifier (DOI)

• 10.1137/S1064827593251435

start page

• 1449

end page

• 1474

volume

• 17

issue

• 6

URL

• http://dx.doi.org/10.1137/s1064827593251435