10·î22Æü(ÌÚ) 15:00 -- 16:30 Prof. Bernardo Cockburn (University of Minnesota¡¢USA) ``Hybridizable discontinuous Galerkin methods for diffusion.'' ¡ã¸¦µæÈ¯É½Í׻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.