UNIVERSITY OF COLORADO AT DENVER

PLACE: Mathematics Conference Room 626 UCD Building, 1250 14th St., Denver

TIME: NOON (Refreshments served at 11:45 am)

DATE: Sept. 8, 2000

Title:
      The Local Discontinuous Galerkin Method for Stokes' Equations 

Speaker:
       Guido Kanschat 
       School of Mathematics, University of Minnesota

Abstract:
       Discontinuous Galerkin (DG) Methods have been successfully
 applied to the stable discretization of hyperbolic equations. Extending
 these results to advection-diffusion problems and Navier-Stokes Equations
 requires a DG discretization for second order elliptic problems. The LDG
 method is such a scheme, based on a mixed formulation of Poisson's
 equation. This method will be introduced and convergence results will be
 presented. Especially, a smart choice of inter-element fluxes allows for a
 highly accurate computation of stresses. These results are then extended
 to a mixed formulation of Stokes' equations. Finally, results on the
 solution of the linear systems will be shown.