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Title: A fast multigrid algorithm for isotropic transport problems. 1: Pure scattering

Journal Article · · SIAM Journal on Scientific Computing
DOI:https://doi.org/10.1137/0916038· OSTI ID:64611
;  [1];  [2]; ;  [3]
  1. Univ. of Colorado, Boulder, CO (United States). Program in Applied Mathematics.
  2. Los Alamos National Laboratory, NM (United States). Computer Research Group
  3. Univ. of Colorado, Denver, CO (United States). Center for Computational Mathematics

The authors present a multigrid method for solving the one-dimensional (1-D) slab-geometry S{sub N} equations with isotropic scattering and no absorption. This scheme is highly compatible with massively parallel computer architectures and represents a first step toward similar multigrid methods for the S{sub N} equations in curvilinear and multidimensional geometries. Extensive theoretical analyses are given for the scheme which indicate that it is extremely efficient. In fact, the method is so efficient that it very nearly represents an exact solution technique. Results from calculations are presented which validate the theoretical results.

Sponsoring Organization:
USDOE
DOE Contract Number:
FG02-90ER25086
OSTI ID:
64611
Journal Information:
SIAM Journal on Scientific Computing, Vol. 16, Issue 3; Other Information: PBD: May 1995
Country of Publication:
United States
Language:
English

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