Herbert Egger
Technische Universität Graz

Hybridization of discontinuous Galerkin methods for convection-diffusion problems
We investigate the discretization of elliptic and hyperbolic pdes by discontinuous Galerkin methods, and consider hybridization as a tool for obtaining efficient implementations as well as for designing efficient solvers for the arising linear systems.

The basic results of an a-priori error analysis are presented, and efficient preconditioners based on multilevel and multigrid ideas are discussed.