A Parallel Domain Decomposition Method for the Finite Element 
                Approximation of Convection-Diffusion Problems


                                 Junping Wang
                          Department of Mathematics
                            University of Wyoming
                            Laramie, Wyoming 82071

                                     and

                                Ning-Ning Yan
                         Institute of Systems Science
                               Academia Sinica
                            Beijing, China 100080


                                   Abstract

This talk will address a new domain decomposition method for the finite
element approximate solution of convection-dominated convection-diffusion
problems.  The model problem will be discretized by using a combination of the
mixed finite element method and the discontinuous Galerkin method for
first-order hyperbolic equations.  Nonoverlapping domain decomposition will be
employed to design a parallel iterative procedure.  Convergence and numerical
experiments will be discussed in the talk.