T. Manteuffel et al., A PARALLEL VERSION OF A MULTIGRID ALGORITHM FOR ISOTROPIC TRANSPORT-EQUATIONS, SIAM journal on scientific computing, 15(2), 1994, pp. 474-493
The focus of this paper is on a parallel algorithm for solving the tra
nsport equations in a slab geometry using multigrid. The spatial discr
etization scheme used is a finite element method called the modified l
inear discontinuous (MLD) scheme. The MLD scheme represents a lumped v
ersion of the standard linear discontinuous (LD) scheme. The parallel
algorithm was implemented on the Connection Machine 2 (CM2). Convergen
ce rates and timings for this algorithm on the CM2 and Cray-YMP are sh
own.