Analysis of a domain-splitting method for nonstationary convection-diffusion problems

We give an analysis of a parallel solution method for non-stationary convection-diffusion problems. The discretization is by the streamline diffusion finite element method combined with a blockwise implicit time stepping on an overlapping domain decomposition. The missing interior boundary values are predicted by extrapolation in time. This approach was first proposed and analyzed elsewhere for strongly parabolic problems for which it has satisfactory stability and approximation properties. Here, we extend these results to convection-diffusion problems with dominant transport where the necessary numerical damping is introduced by streamline diffustion. The argument is entirely based on energy techniques and applies to genereal finite element discretizations. (orig./AKF)Available from TIB Hannover: RR 1606(94-16) / FIZ - Fachinformationszzentrum Karlsruhe / TIB - Technische InformationsbibliothekSIGLEDEGerman