Multigrid and Krylov Subspace Methods
                   for Transport Equations: Absorption Case

                                Suely Oliveira
                         Computer Science Department
                             Texas A&M University
                             College Station, TX


                                   Abstract

In this paper we look at Krylov subspace methods for solving the transport
equations in a slab geometry.  The spatial discretization scheme used is a
finite element method called Modified Linear Discontinuous scheme (MLD).  We
investigate the convergence rates for a number of Krylov subspace methods for
this problem and compare with the results of a spatial multigrid scheme.