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A multigrid method for solving the 1-D slab-geometry S N equations with isotropic scattering and absorption is presented. The case with no absorption was treated in part I of this paper 10]. Relaxation is based on a two-cell inversion, which is very e cient 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 DSA in all regimes. This scheme is also well-suited for massively parallel computer architectures.

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The focus of this paper is on a parallel algorithm for solving the transport equations in a slab geometry using multigrid. The spatial discretization scheme used is a nite element method called Modi ed Linear Discontinuous scheme (MLD). The MLD scheme represents a lumped version of the standard Linear Discontinuous scheme (LD). The parallel algorithm was implemented on the Connection Machine 2 (CM2). Convergence rates and timings for this algorithm on the CM2 and Cray-YMP are shown.

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