10·î22Æü(ÌÚ)  15:00 -- 16:30  Prof. Bernardo Cockburn
                                  (University of Minnesota¡¢USA)
            ``Hybridizable discontinuous Galerkin methods for diffusion.''

¡ã¸¦µæȯɽÍ׻ݡä
Discontinuous Galerkin methods for diffusion problems are usually criticized
because they have too many globally coupled degrees of freedom, because 
their implementation is cumbersome, and because the approximation to the 
diffusive flux converges suboptimally.
  In this talk, we show how the hybridizable discontinuous Galerkin methods
overcome each of these three difficulties. We also show that these methods 
have superconvergence properties that allow for a local procedure to provide
a new approximation converging with an additional order of convergence.
  Extensions of these methods to convection-diffusion problems and to the
incompressible Navier-Stokes will be sketched.